Hostname: page-component-77c89778f8-gq7q9 Total loading time: 0 Render date: 2024-07-16T11:11:25.001Z Has data issue: false hasContentIssue false

Calculations of Resistivity and Superconducting Tc in Transition Metals

Published online by Cambridge University Press:  25 February 2011

P. B. Allen
Affiliation:
Dept. of Physics, SUNY, Stony Brook, NY 11794
T. P. Beaulac
Affiliation:
Dept. of Physics, SUNY, Stony Brook, NY 11794
F. S. Khan
Affiliation:
Dept. of Physics, SUNY, Stony Brook, NY 11794
W. H. Butler
Affiliation:
Oak Ridge National Laboratory, Oak Ridge, TN 37830
F. J. Pinski
Affiliation:
Oak Ridge National Laboratory, Oak Ridge, TN 37830
J. C. Swihart
Affiliation:
Oak Ridge National Laboratory, Oak Ridge, TN 37830
Get access

Abstract

A survey is given of various electron-phonon effects which have been vcalculated for the metals Nb, Mo, Ta, Pd, and Cu. These effects include the mass enhancement γ, superconducting Tc, electrical and thermal resistivity, Hall coefficient, magnetoresistance, and the successfully tested predictions of linewidths yQ of phonons. The calculations use local density approximations (LDA) energy bands, experimental phonons, and the rigid muffin tin (RMT) approximation. Mesh size noise is less than 1% and the Bloch-Boltzmann integral equation has been solved to unprecedented accuracy.

Type
Articles
Copyright
Copyright © Materials Research Society 1986

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Bloch, F., Z. Phys. 52, 555 (1928).Google Scholar
2. Ziman, J.M., Electrons and Phonons (Oxford Univ. Press, Oxford 1980).Google Scholar
3. Eliashberg, G.M., Zh. Eksp. Teor. Fiz. 38, 966 (1960) [Soviet Physics - JETP 11, 696 (1960)] D.J. Scalapino, J.R. Schrieffer, and J.W. Wilkins, Phys. Rev. 148, 263 (1966).Google Scholar
4. Migdal, A.B., Zh. Eksp. Teor. Fiz. 34, 1438 (1958)[Soviet Physics - JETP 7, 996 (1958)].Google Scholar
5. Glötzel, D., Rainer, D., and Schober, H.R., Z. Phys. B 35, 317 (1979).Google Scholar
6. Mattheiss, L.F., Wood, J.H., and Switendick, A.C., in Methods in Computational Physics, edited by Alder, B.J. et al., V.8, Energy Bands in Solids (Academic Press, N.Y. 1968, p.63). For Ta, the bands are self-consistent.Google Scholar
7. Sinha, S.K., Phys. Rev. 169, 477 (1968).Google Scholar
8. Lee, M.J.G. and Heine, V., Phys. Rev. B 5, 3839 (1971).CrossRefGoogle Scholar
9. Gaspari, G.D. and Gyorffy, B.L., Phys. Rev. Lett. 28, 801 (1972).CrossRefGoogle Scholar
10. Yamashita, J. and Asano, S., Prog. Theor. Phys. 51, 317 (1974).Google Scholar
11. Chakraborty, B., Pickett, W.E., and Allen, P.B., Phys. Rev. B 14, 3227 (1976).CrossRefGoogle Scholar
12. Bass, J., in Landolt-Börnstein Tables, New Series, Gp III v 15a Metals: Electronic and Transport Phenomena (Springer-Berlin 1982.)Google Scholar
13. White, G.K. and Woods, S.B., Phil. Trans. Roy. Soc. London A 251, 273 (1959).Google Scholar
14. Matula, R.A., J. Phys. Chem. Ref. Data 8, 1147 (1979).CrossRefGoogle Scholar
15. Dugdale, J.S. and Basinski, Z.S., Phys. Rev. 157, 552 (1967).CrossRefGoogle Scholar
16. Lengeler, B., Schilling, W., and Wenzl, H., J. Low Temp. Phys. 2, 59 (1970).CrossRefGoogle Scholar
17. Dugdale, J.S. and Firth, L.D., J. Phys. C 2, 1272 (1969).Google Scholar
18. Pickett, W.E., Comments on Sol. State Phys. 12, 1 (1985); W.E. Pickett, Comments on Sol. State Phys. 12, 1 (1985); in press.Google Scholar
19. A CPA-based calculation of resistivity in AgPd alloys which includes anisotropy has been reported by Butler, W.H. and Stocks, G.M., Phys. Rev. B 29, 4217 (1984).Google Scholar