References[1] Bednorz, J G & Müller, K A 1986 Possible high Tc superconductivity in the Ba-La-Cu-O systemZ. Phys.B 64 189–193
[2] Gough, C E, Colclough, M S, Forgan, E M, Jordan, R G, Keene, M, Muirhead, C M, Rae, A I M, Thomas, N, Abell, J S & Sutton, S 1987 Flux quantization in a high-Tc superconductorNature 326 855
[3] Alexandrov, A S & Kabanov V, V 2011 Unconventional high-temperature superconductivity from repulsive interactions: Theoretical constraintsPhys. Rev. Lett. 106 136–403
[4] Aimi, T & Imada, M J 2007 Does the simple two-dimensional Hubbard model account for high-Tc superconductivity in copper oxides?Phys. Soc. Jpn. 76 113–708
[5] Hardy, T M, Hague, J P, Samson, J H & Alexandrov, A S 2009 Superconductivity in a Hubbard-Frohlich model and in cupratesPhys. Rev.B 79 212–501
[6] Alexandrov, A S 1998 in Models and Phenomenology for Conventional and High-temperature Superconductivity (Course CXXXVI of the International School of Physics ‘Enrico Fermi’) (eds. Iadonisi, G, Schrieffer, J R & Chio-falo, M LAmsterdam: IOS Press) 309
[7] Alexandrov, A S 2003 Theory of Superconductivity: From Weak to Strong Coupling (Bristol: IoP Publishing)
[8] London, F 1938 On the Bose-Einstein condensationPhys.Rev. 54 947-954
[9] Ogg, R A Jr 1946 Bose-Einstein condensation of trapped electron pairs. Phase separation and superconductivity of metal-ammonia solutionsPhys. Rev. 69 243–244
[10] Schafroth, M R 1955 Superconductivity of a charged ideal Bose gasPhys. Rev. 100 463–475
[11] Blatt, J M & Butler, S T 1955 Superfluidity of an ideal Bose-Einstein gasPhys. Rev. 100 476–480
[12] Bardeen, J, Cooper, L N & Schrieffer, J R 1957 Theory of superconductivityPhys. Rev. 108 1175–11204
[13] Frohlich, H 1950 Theory of the superconducting state. I. The ground state at the absolute zero of temperaturePhys. Rev. 79 845–856
[14] Eliashberg, G M 1960 Interactions between electrons and lattice vibrations in a superconductorSov. Phys. JETP 11 696–702
[15] Migdal, A B 1958 Interaction between electrons and lattice vibrations in a normal metalSov. Phys. JETP 7 996–1001
[16] Gor'kov, L P 1959 Microscopic derivation of the Ginzburg-Landau equations in the theory of superconductivitySoviet Phys. JETP 9 1364–1367
[17] Ginzburg, V L & Landau, L D 1950 On the theory of superconductivityZh. Eksp. Teor. Fiz. 20 1064–1082
[18] Abrikosov, A A 1957 On the magnetic properties of superconductors of the second groupSoviet Phys. JETP 5 1174–1183
[19] Alexandrov, A S & Ranninger, J 1981 Theory of bipolarons and bipolaronic bandsPhys. Rev.B 23 1796–1801
[20] Alexandrov, A S & Ranninger, J 1981 Bipolaronic superconductivityPhys. Rev.B 24 1164–1169
[21] Alexandrov, A S 1983 Bipolarons in narrow-band crystalsZh. Fiz. Khim. 57 273 [1983 Russ. J. Phys. Chem. 57 167]
[22] For a comprehensive review see Plakida, N 2010 High-temperature Cuprate Superconductors: Experiment, Theory and Applications (Springer Series in Solid State Science 166, Heidelberg: Springer)
[23] Anisimov, V I, Zaanen, J & Andersen, O K 1991 Band theory and Mott insulators: Hubbard U instead of StonerI Phys. Rev.B 44 943–954
[24] Korshunov, M M, Gavrichkov, V A, Ovchinnikov, S G, Nekrasov, I A, Pchelkina, Z V & Anisimov, V I 2005 Hybrid LDA and generalized tight-binding method for electronic structure calculations of strongly correlated electron systemsPhys. Rev.B 72 165 104
[25] Das, T, Markiewicz, R S & Bansil, A 2010 Optical model-solution to the competition between a pseudogap phase and a charge-transfer-gap phase in high-temperature cuprate superconductorsPhys. Rev.B 81 174–504
[26] Fournier, D, Levy, G, Pennec, Y, McChesney, J L, Bostwick, A, Rotenberg, E, Liang, R, Hardy, W N, Bonn, D A, Elfimov, I S & Damascelli, A 2010 Loss of nodal quasiparticle integrity in underdoped YBa2Cu3O6+xNature Physics 6 905–911
[27] Bauer, T & Falter, C 2009 Impact of dynamical screening on the phonon dynamics of metallic La2CuO4Phys. Rev.B 80 094–525
[28] Yndurain, F & Soler, J M 2009 Anomalous electron-phonon interaction in doped LaFeAsO: First-principles calculationsPhys. Rev.B 79 134–506
[29] Shuey, R T 1965 Electron-phonon interaction for indirect interband transitions in GermaniumPhys. Rev. 139 A1675–A1684
[30] Maximov, E G, Savrasov, D Yu & Savrasov, S Yu 1997 The electron-phonon interaction and the physical properties of metalsPhysics-Uspekhi 40 337–358 [1997 Uspechi Fiz. Nauk. 167 353]
[31] Mahan, G D 1990 Many-Particle Physics (New York: Plenum Press)
[32] Eagles, D M 1969 Theory of transitions from large to nearly-small polarons, with application to Zr-doped superconducting SrTiO3Phys. Rev. 181 1278–1290
[33] Alexandrov, A S 1996 Bipolaron anisotropic flat bands, Hall mobility edge, and metal-semiconductor duality of overdoped high-Tc oxidesPhys. Rev.B 53 286–32869
[34] Alexandrov, A S & Bratkovsky, A M 1999 The essential interactions in oxides and spectral weight transfer in doped manganitesJ. Phys.: Condens. Matter 11 L531-L539
[35] Müller, K A 2000 Recent experimental insights into HTSC materialsPhysicaC 341–348 11–18
[36] Wagner, M 1986 Unitary Transformations in Solid State Physics (Amsterdam: North Holland)
[37] Lee, T D, Low, F, & Pines, D 1953 The motion of slow electrons in a polar crystalPhys. Rev. 90 297–302
[38] Lang, I G & Firsov, Yu A 1962 Kinetic theory of semiconductors with low mobilityZh. Eksp. Teor. Fiz. 43 1843 [1963 Sov. Phys. JETP 16 1301-1312]
[39] Wilcox, R M 1967 Exponential operators and parameter differentiation in quantum physicsJ. Math. Phys. 8 962–982
[40] Alexandrov, A S & Devreese, J T 2009 Advances in Polaron Physics (Heidelberg: Springer)
[41] Holstein, T 1959 Studies of polaron motion. 2. The small polaronAnn. Phys. 8 343–389
[42] Alexandrov, A S & Kornilovitch, P E 1999 Mobile small polaronPhys. Rev. Lett. 82 807–810
[43] Hague, J P, Kornilovitch, P E, Alexandrov, A S & Samson, J HEffects of lattice geometry and interaction range on polaron dynamicsPhys. Rev.B 73 054–303
[44] Cataudella, V, De Filippis, G & Perroni, C A 2007 Single polaron properties in different electron phonon modelsPolarons in Advanced Materials ed. Alexandrov, A S (Dordrecht: Springer) 149–189
[45] Fehske, H & Trugman, S A 2007 Numerical solution of the Holstein polaron problemPolarons in Advanced Materials ed. Alexandrov, A S (Dordrecht: Springer) 393–461
[46] Mishchenko, A S & Nagaosa, N 2007 Spectroscopic properties of polarons in strongly correlated systems by exact diagrammatic Monte Carlo methodPolarons in Advanced Materials ed. Alexandrov, A S (Dordrecht: Springer) 503–544
[47] Landau, L DÜber die Bewegung der Elektronen in KristalgitterPhys. Z. Sowjetunion 3 644–645
[48] Pekar, S I 1951 Issledovanija po Ekektronnoj Teorii Kristallov (Moscow: Gostekhizdat)
[49] Berciu, M 2006 Green's function of a dressed particlePhys. Rev. Lett. 97 036–402
[50] Alexandrov, A S 1992 Many-body effects in the normal-state polaron systemPhys. Rev.B 46 2838–2844
[51] Alexandrov, A S 2011 Theory of high-temperature superconductivity in doped polar insulatorsEPL 95 27004
[52] Matsubara, T 1955 A new approach to quantum-statistical mechanicsProg. Theor. Phys. 14 351–378
[53] Firsov, Yu A & Kudinov, E K 1997 Two-site model and its relation to the polaron- crystal modelPhys. Solid State 39 1930–1937
[54] Alexandrov, A S & Mott, N F 1995 Polarons and Bipolarons (Singapore: World Scientific)
[55] Yamashita, J & Kurosawa, T 1958 On the electric current in NiOJ. Phys. Chem. Solids 5 34–43
[56] Sewell, G L 1958 Electrons in polar crystalsPhil. Mag. 3 1361–1380
[57] Rietschel, H, Pintschovius, L & Reichardt, W 1989 Selected aspects of the lattice-dynamics in high-Tc oxide superconductorsPhysicaC 162 1705–1708
[58] Devreese, J T & Alexandrov, A S 2009 Fröhlich polaron and bipolaron: recent developmentsRep. Prog. Phys. 72 066–501
[59] Gogolin, A A 1982 The spectrum of an intermediate polaron and its bound-states with phonons at strong couplingPhysica Status SolidiB 109 95–108
[60] Geilikman, B. T. 1975 Adiabatic perturbation theory for metals and problem of lattice equilibriumUsp. Fiz. Nauk 115 403–426 [1975 Sov. Phys. Usp. 18 190]
[61] Alexandrov, A S 2001 Breakdown of the Migdal-Eliashberg theory in the strong-coupling adiabatic regimeEurophys. Lett. 56 92–98
[62] Vinetskii, V L & Giterman, M S 1957 On the theory of the interaction of excess charges in ionic crystalsZh. Eksp. Teor. Fiz. 33 730 [1958 Sov. Phys. JETP 6 560-564]
[63] Schrieffer, J R & Wolff, P A 1966 Relation between the Anderson and Kondo Hamil- toniansPhys. Rev. 149 491–492
[64] Cohen, M L 1964 Superconductivity in many-valley semiconductors and in semimetalsPhys. Rev. 134 A511-A521
[65] Allen, P B & Cohen, M L 1969 Pseudopotential calculation of the mass enhancement and superconducting transition temperature of simple metalsPhys. Rev. 187 525–538
[66] Hirsch, J E 2009 BCS theory of superconductivity: it is time to question its validityPhys. Scr. 80 035–702
[67] Abrikosov, A A, Gorkov, L P & Dzyaloshinskii, I E 1963 Methods of Quantum Field Theory in Statistical Physics (Englewood Cliffs, New Jersey: Prentice Hall)
[68] Alexandrov, A S 2008 Unconventional pairing symmetry of layered superconductors caused by acoustic phononsPhys. Rev.B 77 094–502
[69] Tolmachev, V V 1958 in A New Method in the Theory of Superconductivity eds Bogoliubov, N N, Tolmachev, V V & Shirkov, D V (New York: Consultants Bureau)
[70] Morel, P & Anderson, P W 1962 Calculation of the superconducting state parameters with retarded electron-phonon interactionPhys. Rev. 125 1263–1271
[71] Hirsch, J E 1985 Attractive interaction and pairing in fermion systems with strong on-site repulsionPhys. Rev. Lett. 54 1317–1320
[72] Spalek, J 1988 Effect of pair hopping and magnitude of intra-atomic interaction on exchange-mediated superconductivityPhys. Rev.B 37 533–536
[73] Gros, C, Joynt, R & Rice, T M 1987 Antiferromagnetic correlations in almost-localized Fermi liquidsPhys. Rev.B 36 381–393
[74] Anderson, P W, Lee, P A, Randeria, M, Rice, T M, Tiverdi, N & Zhang, F C 2004 The physics behind high-temperature superconducting cuprates: the ‘plain vanilla’ version of RVBJ. Phys.: Condens. Matter 16 R755-R769 and references therein
[75] Zhang, F C, Gros, C, Rice, T M & Shiba, H 1988 A renormalised Hamiltonian approach to a resonant valence bond wavefunctionSupercond. Sci. Technol. 1 36–46
[76] Emery, V J, Kivelson, S A & Lin, H Q 1990 Phase separation in the t -J modelPhys. Rev. Lett. 64 475–478
[77] Samson, J H 2012 Trimer energies in the t - Jp model (unpublished)
[78] Alexandrov, A S & Kornilovitch, P E 2002 The Frohlich-Coulomb model of high-temperature superconductivity and charge segregation in the cupratesJ. Phys.: Condens. Matter 14 5337–5348
[79] Bonca, J & and Trugman, S A 2001 Bipolarons in the extended Holstein-Hubbard modelPhys. Rev.B 64 094507
[80] Alexandrov, A S, Samson, J H & Sica, G 2012 Superlight small bipolarons from realistic long-range Coulomb and Fröhlich interactionsPhys. Rev.B 85 104–520
[81] Alexandrov, A S, Kabanov, V V, & Mott, N F 1996 Coherent ab and c transport theory of high-Tc cupratesPhys. Rev. Lett. 77 4796–4799
[82] Alexandrov, A S (Aleksandrov) & and Kabanov, V V 1986 Mass of small radius bipolaronFiz. Tverd. Tela 28 1129–1135 [1986 Soviet Phys. Solid State. 28 631].
[83] Alexandrov, A S, Ranninger, J & Robaszkiewicz, S 1986 Bipolaronic superconductivity: Thermodynamics, magnetic properties, and possibility of existence in real substancesPhys. Rev.B 33 4526–4542
[84] Alexandrov, A S, Samarchenko, D A & Traven, S V 1987 Magnetic properties of a charged Bose gas and the electrodynamics of a strongly coupled electron-phonon systemZh. Eksp. Teor. Fiz. 93 1007–1019 [1987 Sov. Phys. JETP 66 567]
[85] Peierls, R 1933 On the theory of diamagnetism of conduction electronsZ. Physik 80 763–791
[86] Alexandrov, A S & Kabanov, V V 1999 Parameter-free expression for superconducting Tc in cupratesPhys. Rev.B 59 13628–13631
[87] Alexandrov, A S & Mott, N F 1994 High Temperature Superconductors and Other Superfluids (London: Taylor & Francis)
[88] Mermin, N D & Wagner, H 1966 Absence of ferromagnetism or antiferromagnetism in one- or two-dimensional isotropic Heisenberg modelsPhys. Rev. Lett. 17 113–31136
[89] Berezinskii, V L 1971 Destruction of long-range order in one-dimensional and two-dimensional systems possessing a continuous symmetry group. 2. Quantum systemsZh. Eksp. Teor. Fiz. 61 1144 [1972 Soviet Physics JETP-USSR 34 610]
[90] Kosterlitz, J M & Thouless, D J 1973 Ordering, metastability and phase-transitions in 2 dimensional systemsJ. Phys. C – Solid State Physics 6 1181–1203
[91] Popov, V N 1983 Functional Integrals in Quantum Field Theory and Statistical Physics (Dordrecht: Reidel)
[92] Fisher, D S & Hohenberg, P C 1988 Dilute Bose gas in two dimensionsPhys. Rev.B 37 4936–4943
[93] Alexandrov, A S 2007 Superlight small bipolarons: a route to room temperature superconductivityHigh-Tc Superconductors and Related Transition Metal Oxides eds. Bussmann-Holder, A & Keller, H (Berlin: Springer) 1–15
[94] Alexandrov, A S, Samson, J H & Sica, G 2012 High temperature superconductivity from realistic long-range Coulomb and Fröhlich interactions arXiv:1205.3436
[95] Eagles, D M 1969 Possible pairing without superconductivity at low carrier concentrations in bulk and thin-film superconducting semiconductorsPhys. Rev. 186 456–463
[96] Leggett, A J 1980 Cooper pairing in spin-polarized Fermi systemsJ. Phys. Colloques 41 C7-19–C7–26
[97] Nozieres, P & Schmitt-Rink, S 1985 Bose condensation in an attractive fermion gas: From weak to strong coupling superconductivityJ. Low Temp. Phys. 59 195–211
[98] Micnas, R, Ranninger, J & Robaszkiewicz, S 1990 Superconductivity in narrow-band systems with local nonretarded attractive interactionsRev. Mod. Phys. 62 113–171
[99] Alexandrov, A S & Rubin, S G 1993 Path-integral approach to Cooper pairs and charged bosonsPhys. Rev.B 47 5141–5145
[100] Belkhir, L & Randeria, M 1994 Crossover from Cooper pairs to composite bosons: A generalized RPA analysis of collective excitationsPhys. Rev.B 49 6829–6840
[101] Pistolesi, F & Strinati, G C 1996 Evolution from BCS superconductivity to Bose condensation: Calculation of the zero-temperature phase coherence lengthPhys. Rev.B 53 15168–15192
[102] Loktev, V M, Quick, R M & Sharapov, S G 2001 Phase fluctuations and pseudogap phenomenaPhys. Rep. 349 1–123
[103] Piegari, E & Caprara, S 2003 Superconducting transition in a mixture of bosons and fermionsPhys. Rev.B 67 214–503
[104] Chen, Q J, Stajic, J, Tan, S & Levin, K 2005 BCS-BEC crossover: fromhigh temperature superconductors to ultracold superfluidsPhys. Rep. 412 1–88
[105] Alexandrov, A S 2006 Strong coupling theory of high temperature superconductivityStudies in High Temperature Superconductors ed Narlikar, A V (New York: Nova Publishers) 50 - Golden Jubilee Volume 1-69
[106] Alexandrov, A S, Bratkovsky, A M & Mott, N F 1994 Hall effect and resistivity of high-Tc oxides in the bipolaron modelPhys. Rev. Lett. 72 1734–1737
[107] Aleksandrov, A S (Alexandrov) & Khmelinin, A B 1986 Dielectric constant of the 2–component boson-fermion plasma in solidsFiz. Tverd. Tela 28 3403–3408 [1986 Sov. Phys. Solid State 28 1915]
[108] Alexandrov, A S & Andreev, A F 2001 Gap and subgap tunnelling in cupratesEurophys. Lett. 54 373–379
[109] Bogoliubov, N N 1958 A new method in the theory of superconductivity.1.Sov. Phys.-JETP 7 41–46
[110] Alexandrov, A S 1998 d-wave Bose-Einstein condensate and tunnelling in superconducting cupratesPhysicaC 305 46–56
[111] Alexandrov, A S & Beanland, J 2010 Superconducting gap, normal state pseudogap, and tunneling spectra of bosonic and cuprate superconductorsPhys. Rev. Lett. 104 026401
[112] Beanland, J & Alexandrov, A S 2010 Theory of extrinsic and intrinsic tunnelling in cuprate superconductorsJ. Phys.: Cond. Matter 22 403202
[113] Friedberg, R & Lee, T D 1989 Gap energy and long-range order in the boson-fermion model of superconductivityPhys. Rev.B 40 6745–6762
[114] Friedberg, R, Lee, T D, & Ren, H C 1990 Coherence length and vortex filament in the boson-fermion model of superconductivityPhys. Rev.B 42 4122–4134
[115] Ranninger, J & and Robin, J M 1995 The boson-fermion model of high-Tc superconductivity. Doping dependencePhysicaC 253 279–291
[116] Ranninger, J, Robin, J M & Eschrig, M 1995 Superfluid precursor effects in a model of hybridized bosons and fermionsPhys. Rev. Lett. 74 4027–4030
[117] Kostyrko, T & Ranninger, J 1996 Spectral properties of the boson-fermion model in the superconducting statePhys. Rev.B 54 13105–13120
[118] Geshkenbein, V B, Ioffe, L B & Larkin, A I 1997 Superconductivity in a system with preformed pairsPhys. Rev.B 55 3173–3180
[119] Domanski, T 2002 Effect of on-site Coulomb repulsion on superconductivity in the boson-fermion modelPhys. Rev.B 66 134–512
[120] Domanski, T, Maska, M M & Mierzejewski, M 2003 Upward curvature of the upper critical field in the boson-fermion modelPhys. Rev.B 67 134–507
[121] Anderson, P W 1975 Model for the electronic structure of amorphous semiconductorsPhys. Rev. Lett. 34 953–955
[122] Street, R A & Mott, N F 1975 States in the gap in glassy semiconductorsPhys. Rev. Lett. 35 1293–1296
[123] Simanek, E 1979 Superconductivity at disordered interfacesSolid State Commun. 32 731–733
[124] Ting, C S, Talwar, D N & Ngai, K L 1980 Possible mechanism of superconductivity in metal-semiconductor eutectic alloysPhys. Rev. Lett. 45 1213–1216
[125] Ionov, S P 1985 Paired electron precesses of localization-delocalization in condensed mediaIzv. AN SSSR Fiz 49 310–325
[126] Alexandrov, A S 1996 Boson-fermion model beyond the mean-field approximationJ. Phys.: Condens. Matter 8 6923–6932
[127] Alexandrov, A S 1997 Condensation of charged bosons hybridised with fermionsPhysicaC 274 237–247
[128] Alexandrov, A S 1999 Self-energy catastrophe of the boson-fermion model of high-temperature superconductorsPhysicaC 316 239–242
[129] Grosu, I, Blaga, C & Crisan, M 2000 Two-dimensional boson-fermion modelJ. Supercond. 13 459–462
[130] Alexandrov, A S 2004 Pairing of bosons in the condensed state of the boson-fermion modelEur. Phys. J.B 39 55–60
[131] Maksimov, E G, Kulic, M L & Dolgov, O V 2010 Bosonic spectral function and the electron-phonon interaction in HTSC cupratesAdvances in Condensed Matter Physics Volume 2010 (Special Issue on Phonons and Electron Correlations in High-Temperature and Other Novel Superconductors) 2010 423–725
[132] Kohn, W and Luttinger, J M 1965 New mechanism for superconductivityPhys. Rev. Lett. 15 524–526
[133] Luttinger, J M 1966 New mechanism for superconductivityPhys. Rev. 150 202–214
[134] Fay, D & Layzer, A 1968 Superconductivity of low-density fermion systemsPhys. Rev. Lett. 20 187–189
[135] Baranov, M A, Chubukov, A V & Kagan, M Yu 1992 Superconductivity and superfluidity in Fermi systems with repulsive interactionsInt. J. Mod. Phys. 6 2471–2497
[136] Kuchenhoff, S & Wolfle, P 1988 Superconductivity in the delute electron gasPhys. Rev.B 38 R935–937
[137] Alexandrov, A S & and Golubov, A A 1992 Effects of retardation and long-range forces on pairing in a Fermi gas with repulsionPhys. Rev.B 45 4769–4773
[138] Raghu, S, Kivelson, S A & Scalapino, D J 2010 Superconductivity in the repulsive Hubbard model: An asymptotically exact weak-coupling solutionPhys. Rev.B 81 224505
[139] Raghu, S & Kivelson, S A 2011 Superconductivity from repulsive interactions in the two-dimensional electron gasPhys. Rev.B 83 094–518
[140] Raghu, S, Berg, E, Chubukov, A V & Kivelson, S A 2012 Effects of longer-range interactions on unconventional superconductivityPhys. Rev.B 85 024–516
[141] Baeriswyl, D, Eichenberger, D & Menteshashvili, M 2009 Variational ground states of the two-dimensional Hubbard modelNew J. Phys. 11 075010
[142] Alexandrov, A S 1984 Doctoral thesis (Moscow, Russia: Moscow Engineering Physics Institute), Ref. [19] in [83].
[143] Alexandrov, A S 1993 Bose-Einstein condensation of charged bosons in a magnetic fieldPhys. Rev.B 48 10571–10574
[144] Alexandrov, A S, Beere, W H & Kabanov, V V 1996 Theory of the charged Bose gas: Bose-Einstein condensation in an ultrahigh magnetic fieldPhys. Rev.B 54 15363–15371
[145] Bucher, B, J, Karpinski, J, Kaldis, E & Wachter, P 1990 Anisotropic behavior in untwinned YBa2Cu4O8: Optical, magnetic and transport measurements at high pressurePhysicaC 167 324–334
[146] Mackenzie, A P, Julian, S R, Lonzarich, G G, Carrington, A, Hughes, S D, Liu, R S & Sinclair, D C 1993 Resistive upper critical field of Tl2Ba2CuO6 at low temperatures and high magnetic fieldsPhys. Rev. Lett. 71 1238–1241
[147] Osofsky, M A, Soulen, R J, Wolf, A A, Broto, J M, Rakoto, H, Ousset, J C, Coffe, G, Askenazy, S, Pari, P, Bozovic, I, Eckstein, J N & Virshup, G F 1993 Anomalous temperature dependence of the upper critical magnetic field in Bi-Sr-Cu-OPhys. Rev. Lett. 71 2315–2318; ibid 1994 Phys. Rev. Lett. 72 3292
[148] Lawrie, D D, Franck, J P, Beamish, J R, Molz, E B, Chen, W M & Graf, M J 1997 Doping dependence of the critical field Hc2 and the transition temperature in Zn doped YBa2(Cu1−xZnxJ. Low Temp. Phys. 107 491–496
[149] Gantmakher, V F, Tsydynzhapov, G E, Kozeeva, L P & Lavrov, A N 1999 Resistive transition and upper critical field in underdoped YBa2Cu3O6+x single crystalsZh. Eksp. Teor. Fiz. 88 148–156
[150] Alexandrov, A S, Zavaritsky, V NLiang, W Y & Nevsky, P L 1996 Resistive upper critical field of high-Tc single crystals of Bi2Sr2CaCu2O8Phys. Rev. Lett. 76 983–986
[151] Zavaritsky, V N, Kabanov, V V & Alexandrov, A S 1998 Universal upper critical field of unconventional superconductorsEurophys. Lett. 60 127–133
[152] Nakanishi, T, Motoyama, N, Mitamura, H, Takeshita, N, Takahashi, H, Eisaki, H, Uchida, S & Môri, N 2000 Resisitve upper critical field of superconducting spin-ladder Sr14−xCaxCu24O41Int. J. Mod. Phys.B 14 3617–3622
[153] Lee, I J, Chaikin, P M & Naughton, M J 2000 Exceeding the Pauli paramagnetic limit in the critical field of (TMTSF)2PF6Phys. Rev.B 62 R14669-R14672
[154] Alexandrov, A S, Beere, W H, V, Kabanov, V V & Liang, W Y 1997 Contrasting effects of magnetic field on thermodynamic and resistive transitions in high-TccupratesPhys. Rev. Lett. 79 1551–1554
[155] Alexandrov, A S 1988 Giant oxygen isotope effect in high-Tc metal-oxide superconductorsJETP Lett. 47 741–743
[156] Alexandrov, A S 1992 Transition from Fermi liquid to charged Bose liquid: A possible explanation of the isotope shift in high-Tc oxidesPhys. Rev.B 46 14932–14935
[157] Alexandrov, A S & Ray, D K 1991 Theory of high-Tc superconductivity: Back to small bipolaronsPhilos. Mag. Lett. 63 295–302
[158] Pippard, B 1998 Sir Nevill Francis Mott, C. H. 30 September 1905-8 August 1996Biogr. Mems Fell. R. Soc. 44 315–328
[159] Alexandrov, A S & Zhao, G M 2012 Isotope effects in high-Tc cuprate superconductors as support for the bipolaron theory of superconductivityNew J. Phys. 14 013–046
[160] Maxwell, E 1950 Isotope effect in the superconductivity of mercuryPhys. Rev. 78 477
[161] Reynolds, C A, Serin, B, Wright, W H & Nesbitt, L B 1950 Superconductivity of isotopes of mercuryPhys. Rev. 78 487
[162] G. M., Zhao 2007 Polarons in colossal magnetoresistive and high-temperature superconducting materialsPolarons in Advanced Materials ed. Alexandrov, A S (Dordrecht: Springer) 569–597
[163] Bussmann-Holder, A & Keller, H 2007 Polaron effects in high-temperature cuprate superconductorsPolarons in Advanced Materials ed. Alexandrov, A S (Dordrecht: Springer) 599–621
[164] Zhao, G M & Morris, D E 1995 Observation of a possible oxygen isotope effect on the effective mass of carriers in YBa2Cu3O6.94Phys. Rev.B 51 16487–16490
[165] Zhao, G M, Singh, K K, Sinha, A P B & Morris, D E 1995 Oxygen isotope effect on the effective mass of carriers from magnetic measurements on La2−x Srx CuO4Phys. Rev.B 52 6840–6844
[166] Zhao, G M, Hunt, M B, Keller, H & Muller, K A 1997 Evidence for polaronic supercarriers in the copper oxide superconductors La2−x Srx CuO4Nature 385 236–239
[167] Zhao, G M, Konder, K, Keller, H & Muller, K A 1998 Oxygen isotope effects in La2−x SrxCuO4: evidence for polaronic charge carriers and their condensationJ. Phys.: Condens. Matter 10 9055–9066
[168] Zhao, G M, Kirtikar, V & Morris, D E 2001 Isotope effects and possible pairing mechanism in optimally doped cuprate superconductorsPhys. Rev.B 63 220506
[169] Khasanov, R, Eshchenko, D G, Luetkens, H, Morenzoni, E, Prokscha, T, Suter, A, Garifianov, N, Mali, M, Roos, J, Conder, K & Keller, H 2004 Direct observation of the oxygen isotope effect on the in-plane magnetic field penetration depth in optimally doped YBa2Cu3O7−-dPhys. Rev. Lett. 92 057–602
[170] Lanzara, A, Bogdanov, P V, Zhou, X J, Kellar, S A, Feng, D L, Lu, E D, Yoshida, T, Eisaki, H, Fujimori, A, Kishio, K, Shimoyama, J I, Noda, T, Uchida, S, Hussain, Z & Shen, Z X 2001 Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductorsNature 412 510–514
[171] W., Meevasana, N. J. C., Ingle, D. H., Lu, J. R., Shi, F., Baumberger, Shen, K M, Lee, W S, Cuk, T, Eisaki, H, Devereaux, T P, Nagaosa, N, Zaanen, J & Shen, Z X 2006 Doping dependence of the coupling of electrons to bosonic modes in the single-layer high-temperature Bi2Sr2CuO6 superconductorPhys. Rev. Lett. 96 157003
[172] Johnston, S, Vishik, I M, Lee, W S, Schmitt, F, Uchida, S, Fujita, K, Ishida, S, Nagaosa, N, Shen, Z X & Devereaux, T P 2012 Evidence for the importance of extended Coulomb interactions and forward scattering in cuprate superconductorsPhys. Rev. Lett. 108 166404
[173] Mihailovic, D, Foster, C M, Voss, K & Heeger, A J 1990 Application of the polaron-transport theory to σ (ω)inTl2Ba2Ca1−xGdxCu2O8, YBa2Cu3O7−d, and La2−xSrxCuO4Phys. Rev.B 42 7989–7993
[174] Sendyka, T R, Dmowski, W, Egami, T, Seiji, N, Yamauchi, H & Tanaka, S 1995 Temperature dependence of the local structure of YBa2Cu4O8Phys. Rev.B 51 6747–6750
[175] Reznik, D, Pintschovius, L, Ito, M, Iikubo, S, Sato, M, Goka, H, Fujita, M, Yamada, K, Gu, G D & Tranquada, J M 2006 Electron-phonon coupling reflecting dynamic charge inhomogeneity in copper oxide superconductorsNature 440 1170–1173
[176] Zhao, G M 2007 Strong coupling to multiple phonon modes in high-temperature superconductorsPhys. Rev.B 75 214–507
[177] Shim, H, Chaudhari, P, Logvenov, G & Bozovic, I 2008 Electron-phonon interactions in superconducting La1.84Sr0.16CuO4 filmsPhys. Rev. Lett. 101 247004
[178] Zhao, G M 2009 Fine structure in the tunneling spectra of electron-doped cuprates: No coupling to the magnetic resonance modePhys. Rev. Lett. 103 236–403
[179] Temprano, D R, Mesot, J, Janssen, S, Conder, K, Furrer, A, Mutka, H & Müller, K A 2000 Large isotope effect on the pseudogap in the high-temperature superconductor HoBa2Cu4O8Phys. Rev. Lett. 84 1990–1993
[180] Uemura, Y J, Luke, G M, Sternlieb, B J, Brewer, J H, Carolan, J F, Hardy, W N, Kadono, R, Kempton, J R, Kiefl, R F, Kreitzman, S R, Mulhern, P, Riseman, T M, Williams, DLl, , Yang, B X, Uchida, S, Takagi, H, Gopalakrishnan, J, Sleight, A W, Subramanian, M A, Chien, C L, Cieplak, M Z, Xiao, G, Lee, V Y, Statt, B W, Stronach, C E, Kossler, W J & Yu, X H 1989 Universal correlations between Tc and ns/m* (carrier density over effective mass) in high-Tc cuprate superconductorsPhys. Rev. Lett. 62 2317–2320
[181] Alexandrov, A S & Kabanov, V V 1999 Parameter-free expression for superconducting Tc in cupratesPhys. Rev.B 59 13628–13631
[182] Chmaissem, O, Eckstein, Y & Kuper, C G 2001 Structure and a bond-valence-sum study of the 1-2-3 superconductors (CaxLa1−x)(Ba1.75−La0.25+x)Cu3Oy and YBa2Cu3OyPhys. Rev.B 63 174–510
[183] Basov, D N, Liang, R, Bonn, D A, Hardy, W N, Dabrowski, B, Quijada, M, Tanner, D B, Rice, J P, Ginsberg, D M & Timusk, T 1995 In-plane anisotropy of the penetration depth in YBa2Cu3O7−x and YBa2Cu4O8 superconductorsPhys. Rev. Lett. 74 598–601
[184] Franck, J P, Harker, S & Brewer, J H 1993 Copper and oxygen isotope effects in La2−xSrxCuO4Phys. Rev. Lett. 71 283–286
[185] Zhao, G M, Kirtikar, V, Singh, K K, Sinha, A P B, Morris, D E & Inyushkin, A V 1996 Large copper isotope effect in oxygen depleted YBa2Cu3Oy: Importance of Cudominated phonon modes in the pairing mechanismPhys. Rev.B 54 14956–14959
[186] Pickett, W E 1989 Electronic structure of the high-temperature oxide superconductorsRev. Mod. Phys 61 433–512
[187] Hussey, N E, Nozawa, K, Takagi, H, Adachi, S & Tanabe, K 1997 Anisotropic resistivity of YBa2Cu4O8: Incoherent-to-metallic crossover in the out-of-plane transportPhys. Rev.B 56 R11423-R11426
[188] Alexandrov, A S 1999 Comment on ‘Experimental and theoretical constraints of bipolaronic superconductivity in high Tc materials: An impossibility’Phys. Rev. Lett. 82 2620
[189] Willemin, M, Rossel, C, Hofer, J, Keller, H & Revcolevschi, A 1999 Anisotropy scaling close to the ab plane in La1.9Sr0.1CuO4 by torque magnetometryPhys. Rev.B 59 R717-R720
[190] Tajima, S, Schutzmann, J, Miyamoto, S, Terasaki, I, Sato, Y & Hauff, R 1997 Optical study of c-axis charge dynamics in YBa2Cu3Oy: Carrier self-confinement in the normal and the superconducting statesPhys. Rev.B 55 6051-5059
[191] Takenaka, K, Fukuzumi, Y, Mizuhashi, K, Uchida, S, Asaoka, H & Takei, H 1997 In-plane thermal conductivity and Lorenz number in YBa2Cu3O7−yPhys. Rev.B 56 5654–5661
[192] Hill, R W, Proust, C, Taillefer, L, Fournier, P & Greene, R L 2001 Breakdown of Fermi-liquid theory in a copper-oxide superconductorNature 414 711–715
[193] Proust, C, Boaknin, E, Hill, R W, Taillefer, L & Mackenzie, A P 2002 Heat transport in a strongly overdoped cuprate: Fermi liquid and a pure d-wave BCS superconductorPhys. Rev. Lett. 89 147003
[194] Smith, M F, Paglione, J, Walker, M B & Taillefer, L 2005 Origin of anomalous low-temperature downturns in the thermal conductivity of cupratesPhys. Rev.B 71 014506
[195] Zhang, Y, Ong, N P, Xu, Z A, K., Krishana, K, Gagnon, R & Taillefer, L 2000 Determining the Wiedemann-Franz ratio from the thermal Hall conductivity: Application to Cu and YBa2Cu3O6.95Phys. Rev. Lett. 84 2219–2222
[196] Alexandrov, A S & Mott, N F 1993 Thermal transport in a charged Bose gas and in high-Tc oxidesPhys. Rev. Lett. 71 1075–1078
[197] Lee, K K, Alexandrov, A S & Liang, W Y 2003 Lorenz number in high Tc superconductors: Evidence for bipolaronsPhys. Rev. Lett. 90 217001
[198] Matusiak, M & Wolf, Th 2005 Lorenz number in the optimally doped and underdoped superconductor EuBa2Cu3OyPhys. Rev.B 72 054–508
[199] Matusiak, M, Rogacki, K & Veal, B W 2009 Enhancement of the Hall-Lorenz number in optimally doped YBa2Cu3O7−σEPL 88 47005
[200] Alexandrov, A S 2006 Hall-Lorenz number paradox in cuprate superconductorsPhys. Rev.B 73 100–501(R)
[201] Anselm, A 1981 Introduction of Semiconductor Theory (New Jersey: Prentice and Hall)
[202] Alexandrov, A S, Zavaritsky, V N & Dzhumanov, S 2004 Hall effect and resistivity in underdoped cupratesPhys. Rev.B 69 052505
[203] Takeda, J, Nishikawa, T & M., Sato, M 1994 Transport studies of La1.92Sr0.8Cu1−xMxO4 (M = Ni and Zn) and Nd2−yCeyCuO4 up to about 900 KPhysicaC 231 293–299
[204] Hwang, H Y, Batlogg, B, Takagi, H, Kao, H L, Kwo, J, Cava, R J, Krajewski, J J & Peck, W F Jr 1994 Scaling of the temperature dependent Hall effect in La2−xSrx CuO41994Phys. Rev. Lett 72 2636–2639
[205] Carrington, A, Walker, D J C, Mackenzie, A P & Cooper, J R 1993 Hall effect and resistivity of oxygen-deficient YBa2Cu3O7−σ thin filmsPhys. Rev.B 48 130–5113059
[206] Loram, J W, Mirza, K A & Cooper, J R 1998 in High Temperature Superconductivity Research Review ed. Liang, W Y (Cambridge: IRC Superconductivity) 77
[207] Mihailovic, D, Kabanov, V V, Zagar, K & Demsar, J 1999 Distinct charge and spin gaps in underdoped YBa2Cu3O7−σ from analysis of NMR, neutron scattering, tunneling, and quasiparticle relaxation experimentsPhys. Rev.B 60 R6995-R6997
[208] Chen, X H, Yu, M, Ruan, K Q, Li, S Y, Gui, Z, Zhang, G C & Cao, L Z 1998 Anisotropic resistivities of single-crystal Bi2Sr2CaCu2O8+σ with different oxygen contentPhys. Rev.B 58 14219–14222
[209] Zverev, V N & Shovkun, D V 2000 Anisotropy of normal resistivity in oxygen-deficient YBa2Cu3O7−xPis'ma Zh. Eksp. Teor. Fiz. 72 103–108 [JETP Lett. 72 73-76]
[210] Hofer, J, Karpinski, J, Willemin, M, Meijer, G I, Kopnin, E M, Molinski, R, Schwer, H, Rossel, C & Keller, H 1998 Doping dependence of superconducting parameters in HgBa2CuO4+σ single crystalsPhysicaC 297 103–110
[211] Anderson, P W 1995 Condensed matter: the continuous revolutionPhysics World 8 (December) 37–40
[212] Mott, N F 1996 High-temperature superconductivity debate heats upPhysics World 9 (January) 16
[213] Harris, J M, Yan, Y F, Matl, P, Ong, N P, Anderson, P W, Kimura, T & Kitazawa, K 1995 Violation of Kohler's rule in the normal-state magnetoresistance of YBa2Cu3O7−σand La2SrxCuO4Phys. Rev. Lett. 75 1391–1394
[214] Alexandrov, A S 1997 Comment on ‘Violation of Kohler's rule in the normal-state magnetoresistance of YBa2Cu3O7−σ and La2SrxCuO4’Phys. Rev. Lett. 79 4717
[215] Alexandrov, A S 1991 Polaron theory of nuclear relaxation in YBa2Cu408 and other metal oxidesPhysicaC 182 327–332
[216] Machi, T, Tomeno, I, Miyatake, T, Koshizuka, N, Tanaka, S, Imai, T & Yasuoka, H 1991 Nuclear spin-lattice relaxation and Knight shift in YBa2Cu408PhysicaC 173 32–36
[217] Martindale, J A, Hammel, P C, Hults, W L & Smith, J L 1998 Temperature dependence of the anisotropy of the planar oxygen nuclear spin-lattice relaxation rate in YBa2Cu3OyPhys. Rev.B 57 11769–11774
[218] Warren, W W Jr, Walstedt, R E, Brennert, G F, Cava, R J, Tycko, R, Bell, R F & Dabbagh, G 1989 Cu spin dynamics and superconducting precursor effects in planes above Tc in YBa2Cu306.7Phys. Rev. Lett. 62 1193–1196
[219] Bergemann, C, Tyler, A W, Mackenzie, A P, Cooper, J R, Julian, S R & Farrell, D E 1998 Superconducting magnetization above the irreversibility line in Tl2Ba2CuO6+σPhys. Rev.B 57 14387–14396
[220] Junod, A, Genouda, J-Y, Triscone, G & Schneider, T 1998 Crossing point of the magnetisation in high-temperature superconductorsPhysicaC 294 115–121
[221] Naughton, M J 2000 High-field magnetization of HgBa2Ca2Cu3O8+σ: Fluctuations, scaling, and the crossing pointPhys. Rev.B 61 1605–1609
[222] Hofer, J, Schneider, T, Singer, J M, Willemin, M, Keller, H, Sasagawa, T, Kishio, K, Conder, K & Karpinski, J 2000 Torque magnetometry on single-crystal high-temperature superconductors near the critical temperature: A scaling approachPhys. Rev.B 62 631–639
[223] Iguchi, I, Sugimoto, A & Sato, H 2003 Quantized vortices and diamagnetic precursor to the Meissner state in high-Tc superconductorsJ. Low Temp. Phys. 131 451–460
[224] Wang, Y, Li, Lu, Naughton, M J, Gu, G D, Uchida, S & Ong, N P 2005 Field-enhanced diamagnetism in the pseudogap state of the cuprate Bi2Sr2CaCu2O8+σ superconductor in an intense magnetic fieldPhys. Rev. Lett. 95 247002
[225] Wang, Y, Li, Lu & Ong, N P 2006 Nernst effect in high-Tc superconductorsPhys. Rev.B 73 024–510
[226] Li, Lu, Wang, Y, Komiya, S, Ono, S, Ando, Y, Gu, G D & Ong, N P 2010 Diamagnetism and cooper pairing above Tc in cupratesPhys. Rev.B 81 054–510
[227] Alexandrov, A S 2006 Normal-state diamagnetism of charged bosons in cuprate superconductorsPhys. Rev. Lett. 96 147003
[228] Alexandrov, A S 2010 Diamagnetism of real-space pairs above Tc in hole doped cupratesJ. Phys.: Condens. Matter 22 426004
[229] Zavaritsky, V N & Alexandrov, A S 2005 Normal state of extremely anisotropic superconducting cuprates as revealed by magnetotransportPhys. Rev.B 71 012–502
[230] Emery, V J and Kivelson, S A 1995 Importance of phase fluctuations in superconductors with small superfluid densityNature 374 434–437
[231] Alexandrov, A S & Zavaritsky, V N 2004 Nernst effect in poor conductors and in the cuprate superconductorsPhys. Rev. Lett. 93, 217002
[232] Alexandrov, A S 2005 ReplyPhys. Rev. Lett. 95 259–704
[233] Elliot, S R 1983 Physics of Amorphous Materials (New York: Longman) 222–225
[234] Friedman, L 1971 Hall conductivity of amorphous semiconductors in the random phase modelJ. Non-Cryst. Sol. 6 329–341
[235] Cutler, M & Mott, N F 1969 Observation of Anderson localization in an electron gasPhys. Rev. 181 1336–1340
[236] Capan, C, Behnia, K, Hinderer, J, Jansen, A G M, Lang, W, Marcenat, C, Marin, C & Flouquet, J 2002 Entropy of vortex cores near the superconductor-insulator transition in an underdoped cupratePhys. Rev. Lett. 88 056–601
[237] Capan, C & Behnia, K 2005 Comment on ‘Nernst effect in poor conductors and in the cuprate superconductors’Phys. Rev. Lett. 95 259–703
[238] Alexandrov, A S 1997 Logarithmic normal state resistivity of high-Tc cupratesPhys. Lett.A 236 132–136
[239] Ando, Y, Boebinger, G S, Passner, A, Kimura, T & Kishio, K 1995 Logarithmic divergence of both in-plane and out-of-plane normal-state resistivities of superconducting La2−xSrxCuO4 in the zero-temperature limitPhys. Rev. Lett. 75 4662–4665 and references therein
[240] Bottger, H & Bryksin, V 1985 Hopping Conduction in Solids (Berlin: Academie-Verlag)
[241] Eagles, D M 1963 Optical absorption in ionic crystals involving small polaronsPhys. Rev. 130 1381–1400
[242] Klinger, M I 1963 Quantum theory of non-steady-state conductivity in low mobility solidsPhys. Lett. 7 102–104
[243] Reik, H G 1963 Optical properties of small polarons in the infraredSol. St. Commun. 1 67–71
[244] Emin, D 1993 Optical properties of large and small polarons and bipolaronsPhys. Rev.B 48 13691–13702
[245] Calvani, P 2001 Optical Properties of Polarons (Bologna: Editrice Compositori)
[246] Devreese, J T 1972 Polarons in Ionic Crystals and Polar Semiconductors (Amsterdam: North-Holland) p 83
[247] Alexandrov, A S, Kabanov, V V & Ray, D K 1994 Polaron theory of mid-infrared conductivity: A numerical cluster solutionPhysicaC 224 247–255
[248] Capone, M, Stephan, W & Grilli, M 1997 Small-polaron formation and optical absorption in Su-Schrieffer-Heeger and Holstein modelsPhys. Rev.B 56 4484–4493
[249] Wellein, G & Fehske, H 1998 Self-trapping problem of electrons or excitons in one dimensionPhys. Rev.B 58 6208–6212
[250] El Shawish, S, Bonca, J, Ku, L C & Trugman, S A 2003 Numerical study of the Jahn-Teller polaron and bipolaronPhys. Rev.B 67 014–301
[251] Barisic, O S 2004 Calculation of excited polaron states in the Holstein modelPhys. Rev.B 69 064–302
[252] Schubert, G, Wellein, G, Weiße, A, Alvermann, A & Fehske, H 2005 Optical absorption and activated transport in polaronic systemsPhys. Rev.B 72 104–304
[253] Damascelli, A, Z Hussain, Z & Zhi-Xun, Shen 2003 Angle-resolved photoemission studies of the cuprate superconductorsRev. Mod. Phys. 75 473–541
[254] Hussey, N E, Abdel-Jawad, M, Carrington, A, Mackenzie, A P & Balicas, L 2003 A coherent three-dimensional Fermi surface in a high-transition-temperature superconductorNature 425 814–817
[255] Plate, M, Mottershead, J D F, Elfimov, I S, Peets, D C, Liang, R, Bonn, D A, Hardy, W N, Chiuzbaian, S, Falub, M, Shi, M, Patthey, L & Damascelli, A 2005 Fermi surface and quasiparticle excitations of overdoped Tl2Ba2CuO6+σPhys. Rev. Lett. 95 077001
[256] Vignolle, B, Carrington, A, Cooper, R A, French, M M J, Mackenzie, A P, Jaudet, C, Vignolles, D, Proust, C & Hussey, N E 2008 Quantum oscillations in an overdoped high-Tc superconductorNature 455 952–955
[257] Doiron-Leyraud, N, Proust, C, LeBoeuf, D, Levallois, J, Bonnemaison, J B, Liang, R, Bonn, D A, Hardy, W N & Taillefer, L 2007 Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductorNature 447 565–568
[258] Bangura, A F, Fletcher, J D, Carrington, A, Levallois, J, Nardone, M, Vignolle, B, Heard, P J, Doiron-Leyraud, N, LeBoeuf, D, Taillefer, L, Adachi, S, Proust, C & Hussey, N E 2008 Small Fermi surface pockets in underdoped high temperature superconductors: Observation of Shubnikov-de Haas oscillations in YBa2Cu4O8Phys. Rev. Lett. 100 047004
[259] Yelland, E A, Singleton, J, Mielke, C H, Harrison, N, Balakirev, F F, Dabrowski, B & Cooper, J R 2008 Quantum oscillations in the underdoped cuprate YBa2Cu4O8Phys. Rev. Lett. 100 047003
[260] Elfimov, I S, Sawatzky, G A & Damascelli, A 2008 Theory of Fermi-surface pockets and correlation effects in underdoped YBa2Cu3O6.5Phys. Rev.B 77 060-504(R) and references therein.
[261] Alexandrov, A S 2008 Theory of quantum magneto-oscillations in underdoped cuprate superconductorsJ. Phys. Condens. Matter 20 192–202
[262] Ramshaw, B J, Vignolle, B, Day, J, Liang, R, Hardy, W N, Proust, C & Bonn, D A 2011 Angle dependence of quantum oscillations in YBa2Cu3O6.59 shows free-spin behaviour of quasiparticlesNature Phys. 7 234–238
[263] Helm, T, Kartsovnik, M V, Bartkowiak, M, Bittner, N, Lambacher, M, Erb, A, Wosnitza, J & Gross, R 2009 Evolution of the Fermi surface of the electron-doped high-temperature superconductor Nd2−xCexCuO4 revealed by Shubnikov-de Haas oscillationsPhys. Rev. Lett. 103 157002
[264] Kartsovnik, M V, Helm, T, Putzke, C, Wolff-Fabris, F, Sheikin, I, Lepault, S, Proust, C, Vignolles, D, Bittner, N, Biberacher, W, Erb, A, Wosnitza, J & Gross, R 2011 Fermi surface of the electron-doped cuprate superconductor Nd2−xCexCuO4 probed by high-field magnetotransportNew J. Phys. 13 015001
[265] Hossain, M A, Mottershead, J D F, Fournier, D, Bostwick, A, McChesney, J L, Rotenberg, E, Liang, R, Hardy, W N, Sawatzky, G A, Elfimov, I S, Bonn, D A & Damascelli, A 2008 In situ doping control of the surface of high-temperature superconductorsNature Phys. 4 527–531
[266] Alexandrov, A S 2012 Quantum magnetic oscillations and angle-resolved photoemission from impurity bands in cuprate superconductorsPhys. Rev.B 85 092–501
[267] Bozovic, I, Logvenov, G, Verhoeven, M A J, Caputo, P, Goldobin, E & Geballe, T H 2003 No mixing of superconductivity and antiferromagnetism in a high-temperature superconductorNature 422 873–875
[268] Denisov, V N, Taliani, C, Mal'shukov, A G & Burlakov, V M 1993 Infrared-excited Raman scattering and photoluminescence of deep intragap states in semiconducting YBa2Cu3O6+xPhys. Rev.B 48 16714–16721
[269] Yu, G, Lee, C H, Mihailovic, D, Heeger, A J, Fincher, C, Herron, N & McCarron, E M 1993 Photoconductivity in insulating YBa2Cu3O6+x: From Mott-Hubbard insulator to Fermi glass via oxygen dopingPhys. Rev.B 48 7545–7553
[270] Alexandrov, A S & Reynolds, K 2007 Angle-resolved photoemission spectroscopy of band tails in lightly doped cupratesPhys. Rev.B 76 132–506
[271] Riggs, S C, Vafek, O, Kemper, J B, Betts, J B, Migliori, A, Balakirev, F F, Hardy, W N, Liang, R, Bonn, D A & Boebinger, G S 2011 Heat capacity through the magnetic-field-induced resistive transition in an underdoped high-temperature superconductorNature Phys. 7 332–335
[272] Silva Neto, M B, 2011 Anisotropy of acceptor states in lightly doped cuprate superconductorsJ. Phys.: Condens. Matter 23 365–601
[273] Bascones, E, Rice, T M, Shorikov, A O, Lukoyanov, A V & Anisimovm, V I 2005 Optical conductivity of ortho-II YBa2Cu3O6.5Phys. Rev.B 71 012–505
[274] Zhai, Z, Parimi, P V, Sokoloff, J B, Sridhar, S & Erb, A 2001 Onset of dielectric modes at 110 K and 60 K due to local lattice distortions in nonsuperconducting YBa2Cu3O6.0 crystalsPhys. Rev.B 63 092–508
[275] Behrooz, A & Zettl, A 1989 Normal state a.c. conductivity of YBa2Cu3O7−σSol. St. Commun. 70 1059–1063
[276] Peierls, R 1933 Zur Theorie des Diamagnetismus von LeitungselektronenZ. Physik 80 763–791
[277] Fisher, R A, Kim, S, Lacy, S E, Phillips, N E, Morris, D E, Markelz, A G, Wei, J Y T & Ginley, D S 1988 Specific-heat measurements on superconducting Bi-Ca-Sr-Cu and Tl-Ca-Ba-Cu oxides: absence of a linear term in the specific heat of Bi-Ca-Sr-Cu oxidesPhys. Rev.B 38 11942–11945
[278] Loram, J W, Cooper, J R, Wheatley, J M, Mirza, K A & Liu, R S 1992 Critical and Gaussian fluctuation effects in the specific heat and conductivity of high-Tc superconductorsPhil. Mag.B 65 1405–1417
[279] Inderhees, S E, Salamon, M B, Goldenfeld, N, Rice, J P, Pazol, B G & Ginzberg, D M 1988 Specific heat of single crystals of YBa2Cu3O7−σ: Fluctuation effects in a bulk superconductorPhys. Rev. Lett. 60 1178–1181
[280] Junod, A, Eckert, D, Triscone, G, Lee, V Y & Muller, J 1989 Specific heat (1−330 K), Meissner effect and magnetic susceptibility of Tl2Ba2Ca2Cu3O10,Tl2Ba2CaCu2O8 and Tl2Ba2CuO6 ceramic samplesPhysicaC 159 215–225
[281] Schnelle, W, Braun, E, Broicher, H, Domel, R, Ruppel, S, Braunisch, W, Harnischmacher, J & Wohlleben, D 1990 Fluctuation specific heat and thermal expansion of YBaCuOand DyBaCuOPhysicaC 168 465–474
[282] Salamon, M B, Inderhees, S E, Rice, J P & Ginsberg, D M 1990 Heat capacity of untwinned YBa2Cu3O7−x in magnetic fields: Dimensional cross-over near TcPhysicaA 168 283–290
[283] Alexandrov, A S & Ranninger, J 1992 Charged bose-liquid characteristics in high-Tc superconductorsSol. State Commun. 81 403–406
[284] Junod, A 1996 in Studies of High Temperature Superconductors ed. Narlikar, A (New York: Nova Science) 19 p 1
[285] Revaz, B, Junod, A & Erb, A 1998 Specific heat peaks observed up to 16 T on the melting line of vortex matter in DyBa2Cu3O7Phys. Rev.B 58 11153–11156
[286] Roulin, M, Junod, A & Walker, E 1998 Observation of second-order transitions below Tc in the specific heat of YBa2Cu3Ox: case for the melting of a vortex glassPhysicaC 296 137–152
[287] Alexandrov, A S, Beere, W H, Kabanov, V V & Liang, W Y 1997 Contrasting effects of magnetic field on thermodynamic and resistive transitions in high-Tc cupratesPhys. Rev. Lett. 79 1551–1554
[288] Tsuei, C C & Kirtley, J R 2000 Pairing symmetry in cuprate superconductorsRev. Mod. Phys. 72 969–1016
[289] Annett, J, Goldenfeld, N & Legget, A J 1996 Constraints on the pairing state of the cuprate superconductorsJ. Low Temp. Phys. 105 473–482
[290] Abrikosov, A A 1995 Parity of the order parameter in high-temperature superconductors with respect to a π/2 rotationPhys. Rev.B 52 R15738-R15740
[291] Hizhnyakov, V & Sigmund, E 1996 Anisotropic pairing caused by unscreened longrange interactionsPhys. Rev.B 53 5163–5165
[292] Shen, Z X, Lanzara, A, Ishihara, S & Nagaosa, N 2002 Role of the electron-phonon interaction in the strongly correlated cuprate superconductorsPhil Mag.B 82 134–91368
[293] Kulic, M L 2006 Importance of the electron-phonon interaction with the forward scattering peak for superconducting pairing in cupratesJ. Supercond. Novel Magnet. 19 213–249
[294] Klironomos, F D & Tsai, S W 2006 Phonon-mediated tuning of instabilities in the Hubbard model at half-fillingPhys. Rev.B 74 205109
[295] Schnell, I, Mazin, I I & Liu, A Y 2006 Unconventional superconducting pairing symmetry induced by phononsPhys. Rev.B 74 184–503
[296] Hague, J P 2006 d-wave superconductivity from electron-phonon interactionsPhys. Rev.B 73 060-503(R)
[297] Bardeen, J & Pines, D 1955 Electron-phonon interaction in metalsPhys. Rev. 99 1140–1150
[298] Migliori, A, Visscher, W M, Wong, S, Brown, S E, Tanaka, I, Kojima, H & Allen, P BComplete elastic constants and giant softening of c66 in superconducting La1.86Sr0.14CuO4 1990Phys. Rev. Lett. 64 2458–2461
[299] Chang, F, Ford, P J, Saunders, G A, Jiaqiang, L, Almond, D P, Chapman, B, Cankurtaran, M, Poeppel, R B & Goretta, K C 1993 Anisotropic elastic and nonlinear acoustic properties of very dense textured Bi2Sr2CaCu2O8+ySupercon. Sci. Technol. 6 484–489
[300] Landau, L D & Lifshitz, E M 1977 Quantum Mechanics (Oxford: Pergamon Press) pp 59, 237.
[301] Alexandrov, A S 2000 d-wave bipolaronic stripes in cupratesInt. J. Mod. Phys.B 14 3298–3305
[302] Alexandrov, A S 2004 Superlight bipolarons and a checkerboard d-wave condensate in cupratesJ. Supercond. Novel Magnet. 17 53–57
[303] Andreev, A F 2004 Electron pairs for HTSCPis'ma Zh. Eksp. Teor. Fiz. 79 100–103 [2004 JETP Letters 79 88-90]
[304] Quintanilla, J, Gyorffy, B L, Annett, J F & Wallington, J P 2002 Cooper pairing with finite angular momentum via a central attraction: From the BCS to the Bose limitsPhys. Rev.B 66 214–526
[305] Kubo, Y, Shimakawa, Y, Manako, T, & Igarashi, H 1991 Transport and magnetic properties of Tl2Ba2CuO6+σ showing a σ-dependent gradual transition from an 85-K superconductor to a nonsuperconducting metalPhys. Rev.B 43 7875–7882
[306] Hussey, N E, Cooper, R A, Xu, X, Wang, Y, Mouzopoulou, I, Vignolle, B, & Proust, C 2011 Dichotomy in the T-linear resistivity in hole-doped cupratesPhil. Trans. R. Soc.A 369 1626–1639
[307] Niedermayer, Ch, Bernhard, C, Binninger, U, Gluckler, H, Talion, J L, Ansaldo, E J & Budnick, J I 1993 Muon spin rotation study of the correlation between Tc and ns/m* in overdoped Tl2Ba2CuO6+σPhys. Rev. Lett. 71 1764–1767
[308] Alexandrov, A S and Bratkovsky, A M 2010 Key pairing interaction in layered doped ionic insulatorsPhys. Rev. Lett. 105 226–408
[309] Kliewer, K L & Fuchs, R 1969 Lindhard dielectric functions with a finite electron lifetimePhys. Rev. 181 552–558
[310] Mermin, N D 1970 Lindhard dielectric function in the relaxation-time approximationPhys. Rev.B 1 2362–2363
[311] Ando, T 1982 Effect of level broadening on the polarizability in a two-dimensional systemJ. Phys. Soc. Japan 51 3215–3218
[312] Stern, F 1967 Polarizability of a two-dimensional electron gasPhys. Rev. Lett. 18 546–548
[313] Alexandrov, A S & Giles, R T 1999 d-wave Bose-Einstein condensation and the London penetration depth in superconducting cupratesPhysicaC 325 35–40
[314] Hardy, W N, Bonn, D A, Morgan, D C, Liang, R & Zhang, K 1993 Precision measurements of the temperature dependence of λ in YBa2Cu3O6.95: Strong evidence for nodes in the gap functionPhys. Rev. Lett. 70 3999–4002
[315] Xiang, T C, Panagopoulos, C and Cooper, J R 1998 Low temperature superfluid response of high-Tc superconductorsInt. J. Mod. Phys.B 12 1007–1032
[316] Walter, H, Prusseit, W, Semerad, R, Kinder, H, Assmann, W, Huber, H, Burkhardt, H, Rainer, D & Sauls, J A 1998 Low-temperature anomaly in the penetration depth of YBa2Cu3O7 films: Evidence for Andreev bound states at surfacesPhys. Rev. Lett. 80 3598–3601
[317] Alexandrov, A S, Bratkovsky, A M, Mott, N F & Salje, E K H 1993 Near-infrared absorption of YBa2Cu307−σ: Evidence for Bose-Einstein condensation of small bipolaronsPhysicaC 215 359–370
[318] Dewing, H L & Salje, E K H 1992 The effect of the superconducting phase transition on the near-infrared absorption of YBa2Cu3O7−σSupercond. Sci. Technol. 5 50–53
[319] Molegraaf, H J A, Presura, C, van der Marel, D, Kes, P H & Li, M, 2002 Superconductivity-induced transfer of in-plane spectral weight in Bi2Sr2CaCu2O8+σScience 295 2239–2241
[320] Santander-Syro, A F, Lobo, R P S M, Bontemps, N, Lopera, W, Girata, D, Konstantinovic, Z, Li, Z Z & Raffy, H 2004 In-plane electrodynamics of the superconductivity in Bi2Sr2CaCu2O8+σ: Energy scales and spectral weight distributionPhys. Rev.B 70 134504
[321] Carbone, F, Kuzmenko, A B, Molegraaf, H J A, van Heumen, E, Lukovac, V, Marsiglio, F, van der Marel, D, Haule, K, Kotliar, G, Berger, H, Kes, P H & Li, M 2006 Doping dependence of the redistribution of optical spectral weight in Bi2Sr2CaCu2O8+σPhys. Rev.B 74 064510
[322] Basov, D N, Averitt, R D, van der Marel, D, Dressel, M & Haule, K 2011 Electrodynamics of correlated electron materialsRev. Mod. Phys. 83 471–541
[323] Charnukha, A, Popovich, P, Matiks, Y, Sun, D L, Lin, C T, Yaresko, A N, Keimer, B & Boris, A V 2011 Superconductivity-induced optical anomaly in an iron arsenideNature Commun. 2 219
[324] Hirsch, J H 1992 Superconductors that change color when they become superconductingPhysicaC 201 347–361
[325] Maldague, P F 1977 Optical spectrum of a Hubbard chainPhys. Rev.B 16 243–72446
[326] Bozovic, I, Logvenov, G, Verhoeven, M A J, Caputo, P, Goldobin, E & Beasley, M R 2004 Giant proximity effect in cuprate superconductorsPhys. Rev. Lett. 93 157002 and references therein
[327] Abbamonte, P, Venema, L, Rusydi, A, Sawatzky, G A, Logvenov, G & Bozovic, I 2002 A structural probe of the doped holes in cuprate superconductorsScience 297 581–584
[328] Alexandrov, A S 2007 Theory of giant and nil proximity effects in cuprate semiconductorsPhys. Rev.B 75 132–501
[329] Gross, E P 1961 Structure of a quantized vortex in boson systemsNuovo Cimento 20 454
[330] Pitaevskii, L P 1961 Vortex lines in an imperfect Bose gasZh. Eksp. Teor. Fiz. 40, 646 (1961) [1961 Soviet Phys. JETP 13 451-454]
[331] Lang, K M, Madhavan, V, Hoffman, J E, Hudson, E W, Eisaki, H, Uchida, S & Davis, J C 2002 Imaging the granular structure of high-Tc superconductivity in underdoped Bi2Sr2CaCu2O8+σNature 415 412–416
[332] Howald, C, Fournier, P & Kapitulnik, A 2001 Inherent inhomogeneities in tunneling spectra of Bi2Sr2CaCu2O8−x crystals in the superconducting statePhys. Rev.B 64 100504(R)
[333] Machida, T, Kamijo, Y, Harada, K, Noguchi, T, Saito, R, Kato, T & Sakata, H 2006 Appearance of new energy gap and periodic local density-of-states modulation in Bi2Sr1.6La0.4CuO6+σJ. Phys. Soc. Jpn. 75 083–708
[334] McElroy, K, Lee, D H, Hoffman, J E, Lang, K M, Lee, J, Hudson, E W, Eisaki, H, Uchida, S & Davis, J C 2005 Coincidence of checkerboard charge order and antinodal state decoherence in strongly underdoped superconducting Bi2Sr2CaCu2O8+σPhys. Rev. Lett. 94 197005
[335] Gomes, K K, Pasupathy, A N, Pushp, A, Ono, S, Ando, Y & Yazdani, A 2007 Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+σNature 447 569–572
[336] Pan, S H, O'Neal, J P, Badzey, R L, Chamon, C, Ding, H, Engelbrecht, J R, Wang, Z, Eisaki, H, Uchida, S, Gupta, A K, Ng, K W, Hudson, E W, Lang, K M & Davis, J C 2001 Microscopic electronic inhomogeneity in the high-Tc superconductor Bi2Sr2CaCu2O8+xNature 413 282–285
[337] Kato, T, Okitsu, S & Sakata, H 2005 Inhomogeneous electronic states of La2−x SrxCuO4 probed by scanning tunneling spectroscopyPhys. Rev.B 72 144–518
[338] Kato, T, Maruyama, T, Okitsu, S & Sakata, H 2008 Doping dependence of two energy scales in the tunneling spectra of superconducting La2−x SrxCuO4J. Phys. Soc. Jpn. 77 054710
[339] Krasnov, V M, Yurgens, A, Winkler, D, Delsing, P & Claeson, T 2000 Evidence for coexistence of the superconducting gap and the pseudogap in Bi-2212 from intrinsic tunneling spectroscopyPhys. Rev. Lett. 84 5860–5963
[340] Suzuki, M & Watanabe, T 2000 Discriminating the superconducting gap from the pseudogap in Bi2Sr2CaCu2O8+σ by interlayer tunneling spectroscopyPhys. Rev. Lett. 85 4787–4790
[341] Zhu, X B, Zhao, S P, Wei, Y F, Yang, H F, Gu, C Z, Yu, H W & Ren, Y F 2007 Intrinsic tunneling spectroscopy of near optimally doped Bi2Sr2CaCu2O8+σ superconductors in magnetic fieldPhysicaC 460-462 963–964
[342] Krasnov, V M 2009 Temperature dependence of the bulk energy gap in underdoped Bi2Sr2CaCu2O8+σ: Evidence for the mean-field superconducting transitionPhys. Rev.B 79 214–510
[343] Yurgens, A, Winkler, D, Claeson, T, Ono, S & Ando, Y 2003 Intrinsic tunneling spectra of Bi2(Sr2−xLax)CuO6+σPhys. Rev. Lett. 90 147005
[344] Renner, Ch, Revaz, B, Genoud, J Y, Kadowaki, K & Fischer, O 1998 Pseudogap precursor of the superconducting gap in under- and overdoped Bi2Sr2CaCu2O8+σPhys. Rev. Lett. 80 149–152
[345] Miyakawa, N, P, Guptasarma, P, Zasadzinski, J F, Hinks, D G & Gray, K E 1998 Strong dependence of the superconducting gap on oxygen doping from tunneling measurements on Bi2Sr2CaCu2O8+σPhys. Rev. Lett. 80 157–160
[346] Vedeneev, S I, Jansen, A G M, Samuely, P, Stepanov, V A, Tsvetkov, A A & Wyder, P 1994 Tunneling in the ab plane of the high-Tc superconductor Bi2Sr2CaCu2O8+σ in high magnetic fields 1994Phys Rev.B 49 9823–9830
[347] Vedeneev, S I 1998 Tunneling investigations of single crystals of the single-layer cuprate Bi2Sr2CuOz in high magnetic fieldsPis'ma Zh. Exsp. Teor. Fiz. 68 217–222 [1998 JETP Lett. 68 230-235]
[348] Rantner, W & Wen, X G 2000 Tunneling density of states of high Tc superconductors: d-wave BCS model versus SU(2) slave-boson modelPhys. Rev. Lett. 85 3692–3695
[349] Won, H & Maki, K 1994 d-wave superconductor as a model of high-Tc superconductorsPhys. Rev.B 49 1397–1402
[350] Katterwe, S O, Rydh, A & Krasnov, V M 2008 Doping-induced change in the inter-layer transport mechanism of Bi2Sr2CaCu2O8+σ near the superconducting transition temperaturePhys. Rev. Lett. 101 087003
[351] Phillips, J C 1989 Physics of High-Tc Superconductors (New York: Academic Press) 1–391
[352] Alexandrov, A S & Mott, N F 1993 Do pairs exist above Tc?Supercond. Sci. Technol. 6 215–224
[353] Bruckel, T, Capellmann, H, Just, W, Kemmler-Sach, S, Kiemel, R & Schaefer, W 1987 Search for magnetic fluctuations in YBa2Cu3O7Europhys. Lett. 4 1189–1194
[354] Müller, K A 2012 The impact of ESR (EPR) on the understanding of the cuprates and their superconductivityEPR Newsletter 22 5–6
[355] Alexandrov, A S 2000 Unified theory of colossal magnetoresistance in manganites and high temperature superconductivity in cupratesPhysicaC 341-348 107–110
[356] Merz, M, Nucker, N, Schweiss, P, Schuppler, S, Chen, C T, Chakarian, V, Freeland, J, Idzerda, Y U, Klaser, M, Müller-Vogt, G & Wolf, Th 1998 Site-specific X-ray absorption spectroscopy of Y1−xCaxBa2Cu3O7−y: Overdoping and role of apical oxygen for high temperature superconductivityPhys. Rev. Lett. 80 5192–5195
[357] Ju, H L, Sohn, H C & Krishnan, K M 1997 Evidence for O2p hole-driven conductivity in La1−xSrxMnO3 (0 ≤ x ≤ 0.7) and La0.7Sr0.3MnOz thin filmsPhys. Rev. Lett. 79 3230–3233
[358] Saitoh, T, Bocquet, A E, Mizokawa, T, Namatame, H, Fujimori, A, Abbate, M, Takeda, Y & Takano, M 1995 Electronic structure of La1−xSrxMnO3 studied by photoemission and X-ray-absorption spectroscopyPhys. Rev.B 51 13942–13951
[359] Mannella, N, Yang, W, Zhou, X J, Zheng, H, Mitchell, J F, Zaanen, J, Devereaux, T P, Nagaosa, N, Hussain, Z & Shen, Z X 2005 Nodal quasiparticle in pseudogapped colossal magnetoresistive manganitesNature 438 474–478
[360] Jonker, G H & van Santen, J H 1950 Ferromagnetic compounds of manganese with perovskite structurePhysica 16 337–349
[361] van Santen, J H & Jonker, G H 1950 Electrical conductivity of ferromagnetic compounds of manganese with perovskite structurePhysica 16 599–600
[362] von Helmolt, R, Wecker, J, Holzapfel, B, Schultz, L & Samwer, K 1993 Giant negative magnetoresistance in perovskite-like La2/3Ba1/3MnOx ferromagnetic filmsPhys. Rev. Lett. 71 2331–2333
[363] Jin, S, Tiefel, T H, McCormack, M, Fastnacht, R A, Ramesh, R & Chen, L H 1994 Thousandfold change in resistivity in magnetoresistive La-Ca-Mn-O filmsScience 264 413–415
[364] Zener, C 1951 Interaction between the d-shells in the transition metals. II. Ferromagnetic compounds of manganese with perovskite structurePhys. Rev. 82 403–405
[365] Millis, A.J., P.B., Littlewood, P B & Shraiman, B.I. 1995 Double exchange alone does not explain the resistivity of La1−x SrxMnO3Phys. Rev. Lett. 74 5144–5147
[366] Tyson, T A, Mustre de Leon, J, Conradson, S D, Bishop, A R, Neumeier, J J, Roder, H & Zang, J 1996 Evidence for a local lattice distortion in Ca-doped LaMnO3Phys. Rev.B 53 13985–13998
[367] Shimakawa, Y, Kubo, Y & Manako, T 1996 Giant magnetoresistance in Ti2Mn2O7 with the pyrochlore structureNature 379 53–55
[368] Ramirez, A P, Cava, R J & Krajewski, J 1997 Colossal magnetoresistance in Cr-based chalcogenide spinelsNature 386 156–159
[369] Ramirez, A P Colossal magnetoresistance 1997 J. Phys.: Condens. Matter 9 817–18199
[370] Zhao, G M 2000 Double exchange and the cause of ferromagnetism in doped manganitesPhys. Rev.B 62 11639–11643
[371] Alexandrov, A S & Bratkovsky, A M 1999 Carrier density collapse and colossal magnetoresistance in doped manganitesPhys. Rev. Lett. 82 141–144
[372] Alexandrov, A S & Bratkovsky, A M 1999 Theory of colossal magnetoresistance in doped manganitesJ. Phys, Condens. Matter 11 1989–2005
[373] Alexandrov, A S, Zhao, G M, Keller, H, Lorenz, B, Wang, Y S & Chu, C W 2001 Evidence for polaronic Fermi liquid in manganitesPhys. Rev.B 64 140–404
[374] Mannella, N, Yang, W L, Tanaka, K, Zhou, X J, Zheng, H, Mitchell, J F, Zaanen, J, Devereaux, T P, Nagaosa, N, Hussain, Z & Shen, Z X 2007 Polaron coherence condensation as the mechanism for colossal magnetoresistance in layered manganitesPhys. Rev.B 76 233102
[375] Wang, L M, Yang, H C & Horng, H E 2001 Electrical transport and carrier density collapse in doped manganite thin filmsPhys. Rev.B 64 224–423
[376] Alexandrov, A S, Bratkovsky, A M & Kabanov, V V 2006 Phase coexistence and resistivity near the ferromagnetic transition of manganitesPhys. Rev. Lett. 96 117003
[377] Egilmez, M, Chow, K H, Jung, J, Fan, I, Mansourl, A I & Salman, Z 2008 Metal-insulator transition, specific heat, and grain-boundary-induced disorder in Sm0.55Sr0.45MnO3Appl. Phys. Lett. 92 132505-13508
[378] Westerburg, W, Martin, F, van Bentum, P J M, Perenboom, J A A J & Jakob, G 2000 Charge-carrier density collapse in La0.67Ca0.33MnO3 and La0.67Sr0.33MnO3 epitaxial thin filmsEur. Phys. J.B 14 509–513
[379] Perring, T G, Aeppli, G, Moritomo, Y & Tokura, Y 1997 Antiferromagnetic short range order in a two-dimensional manganite exhibiting giant magnetoresistancePhys. Rev. Lett. 78 3197–3200
[380] Vasiliu-Doloc, L, Rosenkranz, S, Osborn, R, Sinha, S K, Lynn, J W, Mesot, J, Seeck, O H, Preosti, G, Fedro, A J & Mitchell, J F 1999 Charge melting and polaron collapse in La1.2Sr1.8Mn2O7Phys. Rev. Lett. 83 4393–4396
[381] Dai, P, Fernandez-Baca, J A, Wakabayashi, N, Plummer, E W, Tomioka, Y & Tokura, Y 2000 Short-range polaron correlations in the ferromagnetic La1−xCaxMnO3Phys. Rev. Lett. 85 2553–2556
[382] Nelson, C S, Zimmermann, M V, Kim, Y J, Hill, J P, Gibbs, D, Kiryukhin, V, Koo, T Y, Cheong, S W, Casa, D, Keimer, B, Tomioka, Y, Tokura, Y, Gog, T & Venkataraman, C T 2001 Correlated polarons in dissimilar perovskite manganites 2001Phys. Rev.B. 64 174–405
[383] Zhao, G M, Conder, K, Keller, H & Müller, K A 1996 Giant oxygen isotope shift in the magnetoresistive perovskite La1−xCaxMnO3+yNature 381 676–678
[384] Zhao, G M, Wang, Y S, Kang, D J, Prellier, W, Rajeswari, M, Keller, H, Venkatesan, T, Chu, C W & Greene, R L 2000 Evidence for the immobile bipolaron formation in the paramagnetic state of the magnetoresistive manganitesPhys. Rev.B 62 R11949
[385] Chuang, Y D, Gromko, A D, Dessau, D S, Kimura, T & Tokura, Y 2001 Fermi surface nesting and nanoscale fluctuating charge/orbital ordering in colossal magnetoresistive oxidesScience 292 1509–1513
[386] Gordon, J E, Marcenat, C, Franck, J P, Isaac, I, Zhang, G W, Lortz, R, Meingast, C, Bouquet, F, Fisher, R A & Phillips, N E 2002 Specific heat and thermal expansion of La0.65Ca0.35MnO3: Magnetic-field dependence, isotope effect, and evidence for a first-order phase transitionPhys. Rev.B 65 024441
[387] Adams, C P, Lynn, J W, Smolyaninova, V N, Biswas, A, Greene, R L, Ratcliff, W, Cheong, S W, Mukovskii, Y M & Shulyatev, D A 2004 First-order nature of the ferromagnetic phase transition in (La-Ca)MnO3 near optimal dopingPhys. Rev.B 70 134–414
[388] Green, D O J 2011 Mapping colossal magnetoresistance phase transitions with the charge-carrier density collapse model arXiv:11G5.2507
[389] Tournier-Colletta, C, Cardenas, L, Fagot-Revurat, Y, Kierren, B, Tejeda, A, Malterre, D, Le Fevre, P & Bertran, F 2010 Bipolaronic insulator on alkali/Si(111):B-2√3 × 2√3 R30° interfacesPhys. Rev.B 82 165429
[390] Enderby, J E & Barnes, A C 1990 Liquid semiconductorsRep. Prog. Phys. 53 85–179
[391] Edwards, P P, Rao, C N R, Kumar, N & Alexandrov, A S 2006 The possibility of a liquid superconductorChemPhysChem 7 2015–2021
[392] Lindemann, F A 1910 Z. Phys. 11 609–615.
[393] Ahmed, N A G, Calderwood, J H, Frohlich, H & Smith, C W 1975 Evidence for collective magnetic effects in an enzyme likelihood of room temperature superconductive regionsPhys. Lett.A 53 129–130
[394] Zurek, E, Edwards, P P & Hoffmann, R 2009 A molecular perspective on lithium-ammonia solutionsAngew. Chem. Int. Ed. 48 8198–8232
[395] Alexandrov, A S 1988 New theory of strong-coupling superconductors and high-temperature superconductivity of metallic oxidesPhys. Rev.B 38 925–927
[396] Gadermaier, C, Alexandrov, A S, Kabanov, V V, Kusar, P, Mertelj, T, Yao, X, Manzoni, C, Brida, D, Cerullo, G & Mihailovic, D 2010 Electron-phonon coupling in high-temperature cuprate superconductors determined from electron relaxation ratesPhys. Rev. Lett. 105 257001
[397] Gadermaier, C, Kabanov, V V, Alexandrov, A S, Stojchevska, L, Mertelj, T, Manzoni, C, Cerullo, G, Zhigadlo, N D, Karpinski, J, Cai, Y Q, Yao, X, Toda, Y, Oda, M, Sugai, S & Mihailovic, D 2012 High superconducting critical temperatures depend universally on the electron-phonon interaction strength arXiv:1205.4978
[398] Phillips, J C, Bishop, A R and Saxena, A 2003 Pseudogaps, dopants, and strong disorder in cuprate high-temperature superconductorsRep. Prog. Phys. 66 211–12182
[399] Hague, J P, Kornilovitch, P E & Alexandrov, A S 2008 Trapping of lattice polarons by impuritiesPhys. Rev.B 78 092–302
[400] Poccia, N, Fratini, M, A Ricci, A, Campi, G, L Barba, L, Vittorini-Orgeas, A, Bianconi, G, Aeppli, G & Bianconi, A 2011 Evolution and control of oxygen order in a cuprate superconductorNature Materials 10 733–736
[401] Phillips, J C 2010 Hard-wired dopant networks and the prediction of high transition temperatures in ceramic superconductorsAdv. Condens. Matter Phys. 2010 250–891
[402] Eagles, D M 2011 Modification of a charged-Bose-gas model for observed room-temperature superconductivity in narrow channels through films of oxidized atactic polypropyleneInt. J. Mod. Phys.B 25 1845–1875
