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Half-Heusler topological insulators

Published online by Cambridge University Press:  15 October 2014

Binghai Yan
Affiliation:
Max Planck Institute for Chemical Physics of Solids, Germany; binghai.yan@cpfs.mpg.de
Anne de Visser
Affiliation:
Van der Waals-Zeeman Institute, Faculty of Science, University of Amsterdam, The Netherlands; a.devisser@uva.nl
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Abstract

Ternary semiconducting or metallic half-Heusler compounds with an atomic composition 1:1:1 are widely studied for their flexible electronic properties and functionalities. Recently, a new material property of half-Heusler compounds was predicted based on electronic structure calculations: the topological insulator. In topological insulators, the metallic surface states are protected from impurity backscattering due to spin-momentum locking. This opens up new perspectives in engineering multifunctional materials. In this article, we introduce half-Heusler materials from the crystallographic and electronic structure point of view. We present an effective model Hamiltonian from which the topological state can be derived, notably from a non-trivial inverted band structure. We discuss general implications of the inverted band structure with a focus on the detection of the topological surface states in experiments by reviewing several exemplary materials. Special attention is given to superconducting half-Heusler materials, which have attracted ample attention as a platform for non-centrosymmetric and topological superconductivity.

Type
Research Article
Copyright
Copyright © Materials Research Society 2014 

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References

Hasan, M.Z., Kane, C.L., Rev. Mod. Phys. 82, 3045 (2010).CrossRefGoogle Scholar
Qi, X.-L., Zhang, S.-C., Rev. Mod. Phys. 83, 1057 (2011).CrossRefGoogle Scholar
Moore, J.E., Nature 464, 194 (2010).CrossRefGoogle Scholar
Bernevig, B.A., Hughes, T.L., Zhang, S.C., Science 314, 1757 (2006).CrossRefGoogle Scholar
Koenig, M., Wiedmann, S., Bruene, C., Roth, A., Buhmann, H., Molenkamp, L., Qi, X.L., Zhang, S.C., Science 318, 766 (2007).Google Scholar
Moore, J.E., Balents, L., Phys. Rev. B: Condens. Matter 75, 121306 (2007).CrossRefGoogle Scholar
Fu, L., Kane, C.L., Mele, E.J., Phys. Rev. Lett. 98, 106803 (2007).CrossRefGoogle Scholar
Hsieh, D., Qian, D., Wray, L., Xia, Y., Hor, Y.S., Cava, R.J., Hasan, M.Z., Nature 452, 970 (2008).CrossRefGoogle Scholar
Zhang, H., Liu, C.-X., Qi, X.-L., Dai, X., Fang, Z., Zhang, S.-C., Nat. Phys. 5, 438 (2009).CrossRefGoogle Scholar
Xia, Y., Qian, D., Hsieh, D., Wray, L., Pal, A., Lin, H., Bansil, A., Grauer, D., Hor, Y.S., Cava, R.J., Hasan, M.Z., Nat. Phys. 5, 398 (2009).CrossRefGoogle Scholar
Taskin, A.A., Ren, Z., Sasaki, S., Segawa, K., Ando, Y., Phys. Rev. Lett. 107, 016801 (2011).Google Scholar
Ando, Y., J. Phys. Soc. Jpn. 82, 102001 (2013).CrossRefGoogle Scholar
Heusler, F., Starck, W., Haupt, E., Verh. DPG 5, 220 (1903).Google Scholar
Graf, T., Felser, C., Parkin, S., Prog. Solid State Chem. 39, 1 (2011).Google Scholar
Chadov, S., Qi, X.L., Kübler, J., Fecher, G.H., Felser, C., Zhang, S.C., Nat. Mater. 9, 541 (2010).CrossRefGoogle Scholar
Lin, H., Wray, L.A., Xia, Y., Xu, S., Jia, S., Cava, R.J., Bansil, A., Hasan, M.Z., Nat. Mater. 9, 546 (2010).Google Scholar
Goll, G., Marz, M., Hamann, A., Tomanic, T., Grube, K., Yoshino, T., Takabatake, T., Physica B 403, 1065 (2008).CrossRefGoogle Scholar
Butch, N.P., Syers, P., Kirshenbaum, K., Hope, A.P., Paglione, J., Phys. Rev. B: Condens. Matter 84, 220504(R) (2011).CrossRefGoogle Scholar
Tafti, F., Fujii, T., Juneau-Fecteau, A., de Cotret, S.R., Doiron-Leyraud, N., Asamitsu, A., Taillefer, L., Phys. Rev. B: Condens. Matter 87, 184504 (2013).CrossRefGoogle Scholar
Pan, Y., Nikitin, A.M., Bay, T.V., Huang, Y.K., Paulsen, C., Yan, B.H., de Visser, A., Europhys. Lett. 104, 27001 (2013).CrossRefGoogle Scholar
Alicea, J., Rep. Prog. Phys. 75, 076501 (2012).Google Scholar
Kuriyama, K., Kushida, K., J. Appl. Phys. 87, 3168 (2000).CrossRefGoogle Scholar
Rowe, D.M., Materials, Preparation, and Characterization in Thermoelectrics (CRC Press, Illustrations, USA, 2012), pp. 913.Google Scholar
Dai, X., Hughes, T.L., Qi, X.-L., Fang, Z., Zhang, S.-C., Phys. Rev. B: Condens. Matter 77, 125319 (2008).CrossRefGoogle Scholar
Bruene, C., Liu, C.X., Novik, E.G., Hankiewicz, E.M., Buhmann, H., Chen, Y.L., Qi, X.L., Shen, Z.X., Zhang, S.C., Molenkamp, L.W., Phys. Rev. Lett. 106, 126803 (2011).CrossRefGoogle Scholar
Yan, B., Jansen, M., Felser, C., Nat. Phys. 9, 709 (2013).CrossRefGoogle Scholar
Yan, B., Müchler, L., Felser, C., Phys. Rev. Lett. 109, 116406 (2012).Google Scholar
Fu, L., Kane, C.L., Phys. Rev. B: Condens. Matter 76, 045302 (2007).Google Scholar
Xiao, D., Yao, Y., Feng, W., Wen, J., Zhu, W., Chen, X.Q., Stocks, G.M., Zhang, Z., Phys. Rev. Lett. 105, 096404 (2010).CrossRefGoogle Scholar
Al-Sawai, W., Lin, H., Markiewicz, R., Wray, L., Xia, Y., Xu, S.Y., Hasan, M., Bansil, A., Phys. Rev. B: Condens. Matter 82, 125208 (2010).CrossRefGoogle Scholar
Feng, W., Xiao, D., Zhang, Y., Yao, Y., Phys. Rev. B: Condens. Matter 82, 235121 (2010).CrossRefGoogle Scholar
Vidal, J., Zhang, X., Yu, L., Luo, J.W., Zunger, A., Phys. Rev. B: Condens. Matter 84, 041109 (2011).CrossRefGoogle Scholar
Wang, X.T., Dai, X.F., Jia, H.Y., Wang, L.Y., Liu, X.F., Cui, Y.T., Liu, G.D., Phys. Lett. A 378, 1662 (2014).CrossRefGoogle Scholar
Pyykkö, P., Annu. Rev. Phys. Chem. 63, 45 (2013).CrossRefGoogle Scholar
Roushan, P., Seo, J., Parker, C.V., Hor, Y.S., Hsieh, D., Qian, D., Richardella, A., Hasan, M.Z., Cava, R.J., Yazdani, A., Nature 460, 1106 (2009).CrossRefGoogle Scholar
Abrikosov, A.A., Europhys. Lett. 49, 789 (2000).Google Scholar
Liu, C., Lee, Y., Kondo, T., Mun, E.D., Caudle, M., Harmon, B.N., Bud’ko, S.L., Canfield, P.C., Kaminski, A., Phys. Rev. B: Condens. Matter 83, 205133 (2011).CrossRefGoogle Scholar
Shekhar, C., Ouardi, S., Nayak, A.K., Fecher, G.H., Schnelle, W., Felser, C., Phys. Rev. B: Condens. Matter 86, 155314 (2012).CrossRefGoogle Scholar
Shekhar, C., Nicklas, M., Nayak, A.K., Ouardi, S., Schnelle, W., Fecher, G.H., Felser, C., Kobayashi, K., J. Appl. Phys. 113, 17E142 (2013).CrossRefGoogle Scholar
Wang, W., Du, Y., Xu, G., Zhang, X., Liu, E., Liu, Z., Shi, Y., Chen, J., Wu, G., Zhang, X.-X., Scientific Reports 3, 2181 (2013).CrossRefGoogle Scholar
Wosnitza, J., Goll, G., Bianchi, A.D., Bergk, B., Kozlova, N., Opahle, I., Elgazzar, S., Richter, M., Stockert, O., v Löhneysen, H., Yoshino, T., Takabatake, T., New J. Phys. 8, 174 (2006).CrossRefGoogle Scholar
Yan, B., Zhang, S.-C., Rep. Prog. Phys. 75, 096501 (2012).CrossRefGoogle Scholar
Chu, R.-L., Shan, W.-Y., Lu, J., Shen, S.-Q., Phys. Rev. B: Condens. Matter 83, 075110 (2011).CrossRefGoogle Scholar
Wu, S.-C., Yan, B., Felser, C., e-print arXiv:1404.6085 (2014).Google Scholar
Virot, F., Hayn, R., Richter, M., van den Brink, J., Phys. Rev. Lett. 111, 146803 (2013).CrossRefGoogle Scholar
Yao, S.H., Zhou, B., Lu, M.H., Liu, Z.K., Chen, Y.B., Analytis, J.G., Brüne, C., Dang, W.H., Mo, S.-K., Shen, Z.X., Fisher, I.R., Molenkamp, L.W., Peng, H.L., Hussain, Z., Chen, Y.L., Phys. Status Solidi RRL 7, 130 (2013).Google Scholar
Sato, M., Phys. Rev. B: Condens. Matter 79, 214526 (2009).CrossRefGoogle Scholar
Hor, Y.S., Williams, A.J., Checkelsky, J.G., Roushan, P., Seo, J., Xu, Q., Zandbergen, H.W., Yazdani, A., Ong, N.P., Cava, R.J., Phys. Rev. Lett. 104, 057001 (2010).CrossRefGoogle Scholar
Sasaki, S., Ren, Z., Taskin, A.A, Segawa, K., Fu, L., Ando, Y., Phys. Rev. Lett. 109, 217004 (2012).CrossRefGoogle Scholar
Bay, T.V., Jackson, M., Paulsen, C., Baines, C., Amato, A., Orvis, T., Aronson, M.C., Huang, Y.K., de Visser, A., Solid State Commun. 183, 13 (2014).CrossRefGoogle Scholar
Werthamer, N.R., Helfand, E., Hohenberg, P.C., Phys. Rev. 147, 295 (1966).CrossRefGoogle Scholar
Bay, T.V., Naka, T., Huang, Y.K., de Visser, A., Phys. Rev. B: Condens. Matter 86, 064515 (2012).CrossRefGoogle Scholar
Scharnberg, K., Klemm, R.A., Phys. Rev. B: Condens. Matter 22, 5233 (1980).CrossRefGoogle Scholar
Bauer, E., Sigrist, M., Eds., Non Centrosymmetric Superconductors (Lecture Notes in Physics), vol.847 (Springer, Berlin, 2012).CrossRefGoogle Scholar
Goraus, J., Ślebarski, A., Fijałkowski, M., J. Phys. Condens. Matter 25, 176002 (2013).CrossRefGoogle Scholar
Xu, G., Wang, W., Zhang, X., Du, Y., Liu, E., Wang, S., Wu, G., Liu, Z., Zhang, X.X., Scientific Reports 4, 5709 (2014).CrossRefGoogle Scholar