1932

Abstract

This article reviews recent theoretical and experimental work on a new class of topological material—topological Kondo insulators, which develop through the interplay of strong correlations and spin-orbit interactions. The history of Kondo insulators is reviewed along with the theoretical models used to describe these heavy fermion compounds. The Fu-Kane method of topological classification of insulators is used to show that hybridization between the conduction electrons and localized electrons in these systems gives rise to interaction-induced topological insulating behavior. Finally, some recent experimental results are discussed, which appear to confirm the theoretical prediction of the topological insulating behavior in samarium hexaboride, where the long-standing puzzle of the residual low-temperature conductivity has been shown to originate from robust surface states.

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2016-03-10
2025-02-11
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Literature Cited

  1. Hasan MZ, Kane CL. 1.  2010. Rev. Mod. Phys. 82:3046 [Google Scholar]
  2. Moore JE. 2.  2010. Nature 464:194–98 [Google Scholar]
  3. Qi XL, Zhang SC. 3.  2011. Rev. Mod. Phys. 83:1057–110 [Google Scholar]
  4. Kane CL, Mele EJ. 4.  2005. Phys. Rev. Lett. 95:146802 [Google Scholar]
  5. Moore JE, Balents L. 5.  2007. Phys. Rev. B 75:121306(R) [Google Scholar]
  6. Fu L, Kane CL, Mele EJ. 6.  2007. Phys. Rev. Lett. 98:106803 [Google Scholar]
  7. Roy R. 7.  2009. Phys. Rev. B 79:195321 [Google Scholar]
  8. Bernevig BA, Hughes TL, Zhang SC. 8.  2006. Science 314:1757–61 [Google Scholar]
  9. König M, Wiedmann S, Brüne C, Roth A, Buhmann H. 9.  et al. 2007. Science 318:766–70 [Google Scholar]
  10. Hsieh D, Qian D, Wray L, Xia Y, Hor YS. 10.  et al. 2008. Nature 452:970–74 [Google Scholar]
  11. Hewson AC. 11.  1993. The Kondo Problem to Heavy Fermions Cambridge, UK: Cambridge Univ. Press [Google Scholar]
  12. Coleman P. 12.  2007. Handb. Magn. Adv. Magn. Mater. 1:95–48 [Google Scholar]
  13. Read N, Newns D. 13.  1983. J. Phys. C 16:3274 [Google Scholar]
  14. Coleman P. 14.  1987. Phys. Rev. B 35:5072 [Google Scholar]
  15. Auerbach A, Levin K. 15.  1986. Phys. Rev. Lett. 57:877 [Google Scholar]
  16. Millis AJ, Lee AP. 16.  1987. Phys. Rev. B 35:3394–414 [Google Scholar]
  17. Coleman P. 17.  1987. Phys. Rev. Lett. 59:1026 [Google Scholar]
  18. Menth A, Buehler E, Geballe TH. 18.  1969. Phys. Rev. Lett. 22:295 [Google Scholar]
  19. Aeppli G, Fisk Z. 19.  1992. Comm. Condens. Matter Phys. 16:155 [Google Scholar]
  20. Fisk Z, Sarrao JL, Cooper SL, Nyhus P, Boebinger GS. 20.  et al. 1996. Phys. B-Condens. Matter 223-224:409–12 [Google Scholar]
  21. Tsunetsugu H, Sigrist M, Ueda K. 21.  1997. Rev. Mod. Phys. 69:809 [Google Scholar]
  22. Riseborough P. 22.  2000. Adv. Phys. 49:257 [Google Scholar]
  23. Fu L, Kane C. 23.  2007. Phys. Rev. B 76:45302 [Google Scholar]
  24. Dzero M, Sun K, Galitski V, Coleman P. 24.  2010. Phys. Rev. Lett. 104:106408 [Google Scholar]
  25. Wolgast S, Kurdak Ç, Sun K, Allen JW, Kim DJ, Fisk Z. 25.  2013. Phys. Rev. B 88:180405 [Google Scholar]
  26. Kim DJ, Thomas S, Grant T, Botimer J, Fisk Z, Xia J. 26.  2014. Sci. Rep. 3:3150 [Google Scholar]
  27. Maple MB, Wohlleben D. 27.  1971. Phys. Rev. Lett. 27:511 [Google Scholar]
  28. Iga F, Kasaya M, Kasuya T. 28.  1988. J. Magn. Magn. Mater. 76–77:156 [Google Scholar]
  29. Meisner GP, Torikachvili MS, Yang KN, Maple MB, Guertin RP. 29.  1985. J. Appl. Phys. 57:3073 [Google Scholar]
  30. Hundley MF, Canfield PC, Thompson JD, Fisk Z, Lawrence JM. 30.  1990. Phys. Rev. B. 42:6842 [Google Scholar]
  31. Paschen S, Winkler H, Nezu T, Kriegisch M, Hilscher G. 31.  et al. 2010. J. Phys. 200:012153 [Google Scholar]
  32. Jaccarino V, Wertheim GK, Wernick JH, Walker CR, Arajs S. 32.  1967. Phys. Rev 160:476–82 [Google Scholar]
  33. DiTusa JF, Friemelt K, Bucher E, Aeppli G, Ramirez AP. 33.  1997. Phys. Rev. Lett. 831:78 [Google Scholar]
  34. Takabatake T, Nagasawa M, Fujii H, Kido G, Nohara M. 34.  et al. 1992. Phys. Rev. 45:5740 [Google Scholar]
  35. Izawa K, Suzuki T, Fujita T, Takabatake T, Nakamoto G. 35.  et al. 1999. Phys. Rev. 59:2599 [Google Scholar]
  36. Ikeda H, Miyake K. 36.  1996. J. Phys. Soc. Jpn. 65:1769 [Google Scholar]
  37. Moreno J, Coleman P. 37.  2000. Phys. Rev. Lett. 84:342 [Google Scholar]
  38. Hirst L. 38.  1970. Phys. Kondens. Mater 11:255 [Google Scholar]
  39. Mott N. 39.  1974. Philos. Mag. 30:403–16 [Google Scholar]
  40. Varma C, Yafet Y. 40.  1976. Phys. Rev. B 13:2950 [Google Scholar]
  41. Varma C. 41.  1976. Rev. Mod. Phys. 48:219 [Google Scholar]
  42. Doniach S. 42.  1977. Phys. B 91:231 [Google Scholar]
  43. Martin RM, Allen JW. 43.  1979. J. Appl. Phys. 50:7561 [Google Scholar]
  44. Schrieffer JR, Wolff P. 44.  1966. Phys. Rev. 149:491 [Google Scholar]
  45. Lacroix C, Cyrot M. 45.  1979. Phys. Rev. B 20:1969–76 [Google Scholar]
  46. Barnes SE. 46.  1976. J. Phys. F 6:1375 [Google Scholar]
  47. Coleman P. 47.  1984. Phys. Rev. B 29:3035 [Google Scholar]
  48. Read N, Newns DM. 48.  1983. J. Phys. C 29:L1055 [Google Scholar]
  49. Millis AJ, Lavagna M, Lee PA. 49.  1987. Phys. Rev. B 36:864–67 [Google Scholar]
  50. Brandow BH. 50.  1986. Phys. Rev. B 33:215–38 [Google Scholar]
  51. Georges A, Kotliar G, Krauth W, Rozenberg M. 51.  1996. Rev. Mod. Phys. 68:13–125 [Google Scholar]
  52. Cox D, Grewe N. 52.  1988. Z. Phys. B 71:273 [Google Scholar]
  53. Jarrell M. 53.  1995. Phys. Rev. B 51:7429 [Google Scholar]
  54. Vidhyadhiraja NS, Smith VE, Logan DE, Krishnamurthy HR. 54.  2003. J. Phys. Condens. Matter 15:4045 [Google Scholar]
  55. Laughlin RB. 55.  1981. Phys. Rev. B 23:5632–733 [Google Scholar]
  56. Haldane FDM. 56.  1988. Phys. Rev. Lett. 61:2015–18 [Google Scholar]
  57. Thouless D, Kohmoto M, Nightingale M, Den Nijs M. 57.  1982. Phys. Rev. Lett. 49:405–8 [Google Scholar]
  58. Murakami S, Nagaosa N, Zhang S. 58.  2003. Science 301:1348–51 [Google Scholar]
  59. Allen JW, Batlogg B, Wachter P. 59.  1979. Phys. Rev. B 20:4807–13 [Google Scholar]
  60. Cooley JC, Aronson MC, Lacerda A, Fisk Z, Canfield PC, Guertin RP. 60.  1995. Phys. Rev. B 52:7322–27 [Google Scholar]
  61. Dzero M, Sun K, Coleman P, Galitski V. 61.  2012. Phys. Rev. B 85:045130 [Google Scholar]
  62. Xu N, Biswas PK, Dil JH, Dhaka RS, Landolt G. 62.  et al. 2014. Nat. Commun. 5:4566 [Google Scholar]
  63. Martin R, Allen J. 63.  1981. Classification of states at the Fermi energy in mixed valence systems. Valence Fluctuations in Solids LM Falicov, W Hanke, MP Maple Amsterdam: North Holland [Google Scholar]
  64. Martin RM. 64.  1982. Phys. Rev. Lett. 48:362–65 [Google Scholar]
  65. McQueen PG, Hess DW, Serene JW. 65.  1993. Phys. Rev. Lett. 71:129–32 [Google Scholar]
  66. Werner J, Assaad FF. 66.  2013. Phys. Rev. B 88:035113 [Google Scholar]
  67. Vollhardt D, Wolfle P. 67.  2013. The Superfluid Phases of Helium 3 Mineola, New York: Dover [Google Scholar]
  68. Balian R, Werthamer N. 68.  1963. Phys. Rev. 131:1–12 [Google Scholar]
  69. Legner M, Rüegg A, Sigrist M. 69.  2014. Phys. Rev. B 89:085110 [Google Scholar]
  70. Alexandrov V, Coleman P, Erten O. 70.  2015. Phys. Rev. Lett. 114:177202 [Google Scholar]
  71. Legner M, Rüegg A, Sigrist M. 71.  2015. Phys. Rev. Lett. 115:156405 [Google Scholar]
  72. Baruselli PP, Vojta M. 72.  2015. Phys. Rev. Lett. 115:156404 [Google Scholar]
  73. Dzero M. 73.  2012. Eur. Phys. J. B 85:297 [Google Scholar]
  74. Tran MT, Takimoto T, Kim KS. 74.  2012. Phys. Rev. B 85:125128 [Google Scholar]
  75. Alexandrov V, Dzero M, Coleman P. 75.  2013. Phys. Rev. Lett. 111:226403 [Google Scholar]
  76. Yanase A, Harima H. 76.  1992. Prog. Theor. Phys. Suppl. 108:19–25 [Google Scholar]
  77. Antonov VN, Harmon BN, Yaresko AN. 77.  2002. Phys. Rev. B 66:165209 [Google Scholar]
  78. Takimoto T. 78.  2011. J. Phys. Soc. Jpn. 80:123710 [Google Scholar]
  79. Takegahara K, Aoki Y, Yanase A. 79.  1980. J. Phys. C: Solid State Phys. 13:583 [Google Scholar]
  80. Cooley JC, Aronson MC, Fisk Z, Canfield PC. 80.  1995. Phys. Rev. Lett. 74:1629–32 [Google Scholar]
  81. Sluchanko NE, Ġlushkov VV, Gorshunov BP, Demishev SV, Kondrin MV. 81.  et al. 2000. Phys. Rev. B 61:9906–9 [Google Scholar]
  82. Kim DJ, Grant T, Fisk Z. 82.  2012. Phys. Rev. Lett. 109:096601 [Google Scholar]
  83. Zhang X, Butch NP, Syers P, Ziemak S, Greene RL, Paglione J. 83.  2013. Phys. Rev. X 3:011011 [Google Scholar]
  84. McEuen PL, Szafer A, Richter CA, Alphenaar BW, Jain JK. 84.  et al. 1990. Phys. Rev. Lett. 64:2062–65 [Google Scholar]
  85. Phelan WA, Koohpayeh SM, Cottingham P, Freeland JW, Leiner JC. 85.  et al. 2014. Phys. Rev. X 4:031012 [Google Scholar]
  86. Lu F, Zhao J, Weng H, Fang Z, Dai X. 86.  2013. Phys. Rev. Lett. 110:096401 [Google Scholar]
  87. Neupane M, Alidoust N, Xu SY, Kondo T, Ishida Y. 87.  et al. 2013. Nat. Commun. 4:2991 [Google Scholar]
  88. Xu N, Shi X, Biswas PK, Matt CE, Dhaka RS. 88.  et al. 2013. Phys. Rev. B 88:121102 [Google Scholar]
  89. Jiang J, Li S, Zhang T, Sun Z, Chen F. 89.  et al. 2013. Nat. Commun. 4:3010 [Google Scholar]
  90. Zhu ZH, Nicolaou A, Levy G, Butch NP, Syers P. 90.  et al. 2013. Phys. Rev. Lett. 111:216402 [Google Scholar]
  91. Denlinger JD, Allen JW, Kang J-S, Sun K, Kim J-W. 91.  et al. 2015. J. Phys. Soc. Jpn. 84:024722 [Google Scholar]
  92. Hsieh D, Xia Y, Qian D, Wray L, Dil JH. 92.  et al. 2009. Nature 460:1101–5 [Google Scholar]
  93. Ruan W, Ye C, Guo M, Chen F, Chen X. 93.  et al. 2014. Phys. Rev. Lett. 112:136401 [Google Scholar]
  94. Kim DJ, Xia J, Fisk Z. 94.  2014. Nat. Mater. 13:466–70 [Google Scholar]
  95. Li G, Xiang Z, Yu F, Asaba T, Lawson B. 95.  et al. 2014. Science 346:1208–12 [Google Scholar]
  96. Altshuler BL, Aronov AA. 96.  1985. Electron-Electron Interactions in Disordered Conductors AL Efros, M Pollak 1–159 New York: Elsevier [Google Scholar]
  97. Hikami S, Larkin A, Nagaoka Y. 97.  1980. Prog. Theor. Phys. 63:707 [Google Scholar]
  98. Nakajima Y, Syers P, Wang X, Wang R, Paglione J. 98.  2016. Nat. Phys. In press. doi:10.1038/nphys3555 [Google Scholar]
  99. Tan BS, Hsu YT, Zeng B, Hatnean MC, Harrison N. 99.  et al. 2015. Science 349:287–90 [Google Scholar]
  100. Kondo J. 100.  1964. Prog. Theor. Phys. 32:37–49 [Google Scholar]
  101. Cooley JC, Aronson M, Fisk Z, Canfield PC. 101.  1995. Phys. Rev. Lett. 74:1629–32 [Google Scholar]
  102. Barla A, Derr J, Sanchez JP, Salce B, Lapertot G. 102.  et al. 2005. Phys. Rev. Lett. 94:166401 [Google Scholar]
  103. Altshuler BL, Aleiner IL, Yudson VI. 103.  2013. Phys. Rev. Lett. 111:086401 [Google Scholar]
  104. Roy B, Sau JD, Dzero M, Galitski V. 104.  2014. Phys. Rev. B 90:155314 [Google Scholar]
  105. Roy B, Hofmann J, Stanev V, Sau JD, Galitski V. 105.  2015. Phys. Rev. B 92:245431 [Google Scholar]
  106. Dzero M, Sun K, Coleman P, Galitski V. 106.  2012. Phys. Rev. B 85:045130 [Google Scholar]
  107. Hatnean MC, Lees MR, Paul DM, Balakrishnan G. 107.  2013. Sci. Rep. 3:3071 [Google Scholar]
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