1932

Abstract

It is commonly believed that a noninteracting disordered electronic system can undergo only the Anderson metal-insulator transition. It has been suggested, however, that a broad class of systems can display disorder-driven transitions distinct from Anderson localization that have manifestations in the disorder-averaged density of states, conductivity, and other observables. Such transitions have received particular attention in the context of recently discovered 3D Weyl and Dirac materials but have also been predicted in cold-atom systems with long-range interactions, quantum kicked rotors, and all sufficiently high-dimensional systems. Moreover, such systems exhibit unconventional behavior of Lifshitz tails, energy-level statistics, and ballistic-transport properties. Here, we review recent progress and the status of results on non-Anderson disorder-driven transitions and related phenomena.

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2018-03-10
2025-02-17
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Literature Cited

  1. Anderson PW. 1.  1958. Phys. Rev. 109:1492 [Google Scholar]
  2. Basko DM, Aleiner IL, Altshuler BL. 2.  2006. Ann. Phys. 321:1126 [Google Scholar]
  3. Abrikosov AA. 3.  1988. Fundamentals of the Theory of Metals Oxford: Elsevier [Google Scholar]
  4. Abrikosov AA, Gorkov LP, Dzyaloshinski IE. 4.  1975. Methods of Quantum Field Theory in Statistical Physics New York: Dover [Google Scholar]
  5. Efetov KB. 5.  1999. Supersymetry in Disorder and Chaos New York: Cambridge Univ. Press [Google Scholar]
  6. Fradkin E. 6.  1986.a Phys. Rev. B 33:3263 [Google Scholar]
  7. Fradkin E. 7.  1986.b Phys. Rev. B 33:3257 [Google Scholar]
  8. Young SM, Zaheer S, Teo JCY, Kane CL, Mele EJ, Rappe AM. 8.  2012. Phys. Rev. Lett. 108:140405 [Google Scholar]
  9. Wang Z, Sun Y, Chen XQ, Franchini C, Xu G. 9.  et al. 2012. Phys. Rev. B 85:195320 [Google Scholar]
  10. Liu ZK, Zhou B, Zhang Y, Wang ZJ, Weng HM. 10.  et al. 2014.a Science 343:864 [Google Scholar]
  11. Liu ZK, Jiang J, Zhou B, Wang ZJ, Zhang Y. 11.  et al. 2014.b Nat. Mat. 13:677 [Google Scholar]
  12. Wan X, Turner AM, Vishwanath A, Savrasov SY. 12.  2011. Phys. Rev. B 83:205101 [Google Scholar]
  13. Huang SM, Xu SY, Belopolski I, Lee CC, Chang G. 13.  et al. 2015. Nat. Commun. 6:7373 [Google Scholar]
  14. Xu SY, Belopolski I, Alidoust N, Neupane M, Bian G. 14.  et al. 2015.a Science 349:6248 [Google Scholar]
  15. Xu SY, Belopolski I, Sanchez DS, Zhang C, Chang G. 15.  et al. 2015.b Sci. Adv. 1:1501092 [Google Scholar]
  16. Xu SY, Alidoust N, Belopolski I, Yuan Z, Bian G. 16.  et al. 2015.c Nat. Phys. 11:748 [Google Scholar]
  17. Lv BQ, Weng HM, Fu BB, Wang XP, Miao H. 17.  et al. 2015. Phys. Rev. X 5:031013 [Google Scholar]
  18. Shindou R, Murakami S. 18.  2009. Phys. Rev. B 79:045321 [Google Scholar]
  19. Ryu S, Nomura K. 19.  2012. Phys. Rev. B 85:155138 [Google Scholar]
  20. Goswami P, Chakravarty S. 20.  2011. Phys. Rev. Lett. 107:196803 [Google Scholar]
  21. Kobayashi K, Ohtsuki T, Imura KI, Herbut IF. 21.  2014. Phys. Rev. Lett. 112:016402 [Google Scholar]
  22. Ominato Y, Koshino M. 22.  2014. Phys. Rev. B 89:054202 [Google Scholar]
  23. Syzranov SV, Radzihovsky L, Gurarie V. 23.  2015. Phys. Rev. Lett. 114:166601 [Google Scholar]
  24. Syzranov SV, Gurarie V, Radzihovsky L. 24.  2015. Phys. Rev. B 91:035133 [Google Scholar]
  25. Sbierski B, Pohl G, Bergholtz EJ, Brouwer PW. 25.  2014. Phys. Rev. Lett. 113:026602 [Google Scholar]
  26. Pixley JH, Goswami P, Das Sarma S. 26.  2015. Phys. Rev. Lett. 115:076601 [Google Scholar]
  27. Pixley JH, Goswami P, Das Sarma S. 27.  2016. Phys. Rev. B 93:085103 [Google Scholar]
  28. Chen CZ, Song J, Jiang H, Sun Q, Wang Z, Xie XC. 28.  2015. Phys. Rev. Lett. 115:246603 [Google Scholar]
  29. Liu S, Ohtsuki T, Shindou R. 29.  2016. Phys. Rev. Lett. 116:066401 [Google Scholar]
  30. Sbierski B, Bergholtz EJ, Brouwer PW. 30.  2015. Phys. Rev. B 92:115145 [Google Scholar]
  31. Shapourian H, Hughes TL. 31.  2016. Phys. Rev. B 93:075108 [Google Scholar]
  32. Bera S, Sau JD, Roy B. 32.  2016. Phys. Rev. B 93:201302 [Google Scholar]
  33. Syzranov SV, Ostrovsky PM, Gurarie V, Radzihovsky L. 33.  2016. Phys. Rev. B 93:155113 [Google Scholar]
  34. Pixley JH, Huse DA, Das Sarma S. 34.  2016.a Phys. Rev. X 6:021042 [Google Scholar]
  35. Roy B, Das Sarma S. 35.  2016. Phys. Rev. B 93:119911 [Google Scholar]
  36. Roy B, Juričić V, Das Sarma S. 36.  2016. Sci. Rep. 6:32446 [Google Scholar]
  37. Syzranov SV, Gurarie V, Radzihovsky L. 37.  2016. Ann. Phys. 373:694 [Google Scholar]
  38. Louvet T, Carpentier D, Fedorenko AA. 38.  2016. Phys. Rev. B 94:220201R) [Google Scholar]
  39. Pixley JH, Huse DA, Das Sarma S. 39.  2016.b Phys. Rev. B 94:121107 [Google Scholar]
  40. Wegner F. 40.  1981. Z. Phys. B 44:9 [Google Scholar]
  41. Suslov IM. 41.  1994. Sov. Phys. J. Exp. Theoret. Phys. 79:307 [Google Scholar]
  42. Nandkishore R, Huse DA, Sondhi SL. 42.  2014. Phys. Rev. B 89:245110 [Google Scholar]
  43. Skinner B. 43.  2014. Phys. Rev. B 90:060202R) [Google Scholar]
  44. Gärttner M, Syzranov SV, Rey AM, Gurarie V, Radzihovsky L. 44.  2015. Phys. Rev. B 92:041406R) [Google Scholar]
  45. Richerme P, Gong ZX, Lee A, Senko C, Smith J. 45.  et al. 2014. Nat. Lett. 511:198 [Google Scholar]
  46. Islam R, Senko C, Campbell WC, Korenblit S, Smith J. 46.  et al. 2013. Science 340:583 [Google Scholar]
  47. Jurcevic P, Lanyon BP, Hauke P, Hempel C, Zoller P. 47.  et al. 2014. Nature 511:202 [Google Scholar]
  48. Jurcevic P, Hauke P, Maier C, Hempel C, Lanyon BP. 48.  et al. 2015. Phys. Rev. Lett. 115:100501 [Google Scholar]
  49. Britton JW, Sawyer BC, Keith AC, Wang CCJ, Freericks JK. 49.  et al. 2012. Nat. Lett. 484:489 [Google Scholar]
  50. Moore FL, Robinson JC, Bharucha C, Williams PE, Raizen MG. 50.  1994. Phys. Rev. Lett. 73:2974 [Google Scholar]
  51. Chabé J, Lemarié G, Grémaud B, Delande D, Szriftgiser P, Garreau JC. 51.  2008. Phys. Rev. Lett. 101:255702 [Google Scholar]
  52. Lemarié G, Chabé J, Szriftgiser P, Garreau JC, Grémaud B, Delande D. 52.  2009. Phys. Rev. A 80:043626 [Google Scholar]
  53. Grempel DR, Prange RE, Fishman S. 53.  1984. Phys. Rev. A 29:1639 [Google Scholar]
  54. Casati G, Guarneri I, Shepelyansky DL. 54.  1989. Phys. Rev. Lett. 62:345 [Google Scholar]
  55. Markos P. 55.  2006. Acta Phys. Slovaca 56:561 [Google Scholar]
  56. García-García AM, Cuevas E. 56.  2007. Phys. Rev. B 75:174203 [Google Scholar]
  57. Ueoka Y, Slevin K. 57.  2014. J. Phys. Soc. Jpn. 83:084711 [Google Scholar]
  58. Zharekeshev IK, Kramer B. 58.  1998. Ann. Phys. (Leipzig) 7:442 [Google Scholar]
  59. Slevin K, Ohtsuki T. 59.  2016. J. Phys. Soc. Jpn. 85:104712 [Google Scholar]
  60. Aleiner IL, Efetov KB. 60.  2006. Phys. Rev. Lett. 97:236801 [Google Scholar]
  61. Ostrovsky PM, Gornyi IV, Mirlin AD. 61.  2006. Phys. Rev. B 74:235443 [Google Scholar]
  62. Gell-Mann M, Low FE. 62.  1954. Phys. Rev. 95:1300 [Google Scholar]
  63. Wilson KG. 63.  1965. Phys. Rev. 140:B445 [Google Scholar]
  64. Sachdev S. 64.  2005. Quantum Phase Transitions Cambridge, UK: Cambridge Univ. Press [Google Scholar]
  65. Dotsenko VikS, Dotsenko VlS. 65.  1983. Adv. Phys. 32:129 [Google Scholar]
  66. Ludwig AWW, Fisher MPA, Shankar R, Grinstein G. 66.  1994. Phys. Rev. B 50:7526 [Google Scholar]
  67. Bocquet M, Serban D, Zirnbauer M. 67.  2000. Nucl. Phys. B 578:628 [Google Scholar]
  68. Altland A, Simons BD, Zirnbauer MR. 68.  2002. Phys. Rep. 359:283 [Google Scholar]
  69. Guruswamy S, LeClair A, Ludwig A. 69.  2000. Nucl. Phys. B 583:475 [Google Scholar]
  70. Efetov KB, Larkin AI, Khmelnitskii DE. 70.  1980. Sov. Phys. J. Exp. Theoret. Phys. 52:568 [Google Scholar]
  71. Belitz D, Kirkpatrick TR. 71.  1994. Rev. Mod. Phys. 66:261 [Google Scholar]
  72. Kamenev A. 72.  2011. Field Theory of Non-Equilibrium Systems Cambridge, UK: Cambridge Univ. Press [Google Scholar]
  73. de Gennes PG. 73.  1979. Scaling Concepts in Polymer Physics Ithaca, NY: Cornell Univ. Press [Google Scholar]
  74. Singh KK. 74.  1975. Phys. Rev. B 12:2819 [Google Scholar]
  75. Singh KK. 75.  1978. Phys. Rev. B 17:324 [Google Scholar]
  76. Uzunov DI. 76.  1981. Phys. Lett. 87A:11 [Google Scholar]
  77. Radzihovsky L, Park J, Weichman P. 77.  2004. Phys. Rev. Lett. 92:160402 [Google Scholar]
  78. Romans MWJ, Duine RA, Sachdev S, Stoof HTC. 78.  2004. Phys. Rev. Lett. 93:020405 [Google Scholar]
  79. Radzihovsky L, Weichman PB, Park JI. 79.  2008. Ann. Phys. 323:2376 [Google Scholar]
  80. Nikolić P, Sachdev S. 80.  2007. Phys. Rev. A 75:033608 [Google Scholar]
  81. Veillette MY, Sheehy DE, Radzihovsky L. 81.  2007. Phys. Rev. A 75:043614 [Google Scholar]
  82. Gurarie V, Radzihovsky L. 82.  2007. Ann. Phys. 322:2 [Google Scholar]
  83. Syzranov SV, Moor A, Efetov KB. 83.  2012. Phys. Rev. Lett. 108:256601 [Google Scholar]
  84. Syzranov SV, Yevtushenko OM, Efetov KB. 84.  2012. Phys. Rev. B 86:241102R) [Google Scholar]
  85. Gross DJ, Neveu A. 85.  1974. Phys. Rev. D 10:3235 [Google Scholar]
  86. Wetzel W. 86.  1985. Phys. Lett. B 153:297 [Google Scholar]
  87. Ludwig AWW. 87.  1987. Nucl. Phys. B 285:97 [Google Scholar]
  88. Bondi A, Curci G, Paffuti G, Rossi P. 88.  1990. Ann. Phys. 199:268 [Google Scholar]
  89. Gracey JA. 89.  1990. Nucl. Phys. B 341:403 [Google Scholar]
  90. Tracas ND, Vlachos ND. 90.  1990. Phys. Lett. 236:333 [Google Scholar]
  91. Luperini C, Rossi P. 91.  1991. Ann. Phys. 212:371 [Google Scholar]
  92. Kivel NA, Stepanenko AS, Vasilev AN. 92.  1994. Nucl. Phys. B 424:619 [Google Scholar]
  93. Ludwig AWW, Wiese KJ. 93.  2003. Nucl. Phys. B 661:577 [Google Scholar]
  94. Gracey JA, Luthe T, Schröder Y. 94.  2016. Phys. Rev. D 94:125028 [Google Scholar]
  95. Schuessler A, Ostrovsky PM, Gornyi IV, Mirlin AD. 95.  2009. Phys. Rev. B 79:075405 [Google Scholar]
  96. Mott N. 96.  1987. J. Phys. C: Solid State Phys. 20:3075 [Google Scholar]
  97. Mott NF. 97.  1967. Adv. Phys. 16:49 [Google Scholar]
  98. Bulka B, Schreiber M, Kramer B. 98.  1987. Z. Phys. B 66:21 [Google Scholar]
  99. Ryu S, Schnyder A, Furusaki A, Ludwig A. 99.  2010. New J. Phys. 12:065010 [Google Scholar]
  100. Nielsen HB, Ninomiya M. 100.  1981. Nucl. Phys. B 185:20 [Google Scholar]
  101. Lu HZ, Shen SQ. 101.  2015. Phys. Rev. B 92:035203 [Google Scholar]
  102. Burkov AA, Hook MD, Balents L. 102.  2011. Phys. Rev. B 84:235126 [Google Scholar]
  103. Hosur P, Parameswaran SA, Vishwanath A. 103.  2012. Phys. Rev. Lett. 108:046602 [Google Scholar]
  104. Altland A, Bagrets D. 104.  2015. Phys. Rev. Lett. 114:257201 [Google Scholar]
  105. Altland A, Bagrets D. 105.  2016. Phys. Rev. B 93:075113 [Google Scholar]
  106. Sbierski B, Decker KSC, Brouwer PW. 106.  2016. Phys. Rev. B 94:220202R) [Google Scholar]
  107. Evers F, Mirlin AD. 107.  2008. Rev. Mod. Phys. 80:1355 [Google Scholar]
  108. Wegner F. 108.  1980. Z. Phys. B 36:209 [Google Scholar]
  109. Foster MS. 109.  2012. Phys. Rev. B 85:085122 [Google Scholar]
  110. Chou YZ, Foster MS. 110.  2014. Phys. Rev. B 89:165136 [Google Scholar]
  111. Lifshitz IM. 111.  1963. Sov. Phys. J. Exp. Theoret. Phys. 17:1159 [Google Scholar]
  112. Zittartz J, Langer JS. 112.  1966. Phys. Rev. 148:741 [Google Scholar]
  113. Halperin BI, Lax M. 113.  1966. Phys. Rev. Lett. 148:722 [Google Scholar]
  114. Lifshits IM, Gredeskul SA, Pastur LA. 114.  1988. Introduction to the Theory of Disordered Systems New York: Wiley [Google Scholar]
  115. Yaida S. 115.  2016. Phys. Rev. B 93:075120 [Google Scholar]
  116. Levitov LS. 116.  1990.a Ann. Phys. 5:507 [Google Scholar]
  117. Levitov LS. 117.  1990.b Phys. Rev. Lett. 64:547 [Google Scholar]
  118. Levitov LS. 118.  1989. Europhys. Lett. 9:83 [Google Scholar]
  119. Ominato Y, Koshino M. 119.  2015. Phys. Rev. B 91:035202 [Google Scholar]
  120. Das Sarma S, Hwang EH, Min H. 120.  2015. Phys. Rev. B 91:035201 [Google Scholar]
  121. Lundgren R, Laurell P, Fiete GA. 121.  2014. Phys. Rev. B 90:165115 [Google Scholar]
  122. Ramakrishnan N, Milletari M, Adam S. 122.  2015. Phys. Rev. B 92:245120 [Google Scholar]
  123. Rodionov YI, Syzranov SV. 123.  2015. Phys. Rev. B 91:195107 [Google Scholar]
  124. Pesin DA, Mishchenko EG, Levchenko A. 124.  2015. Phys. Rev. B 92:174202 [Google Scholar]
  125. Klier J, Gornyi IV, Mirlin A. 125.  2015. Phys. Rev. B 92:205113 [Google Scholar]
  126. Lan Z, Goldman N, Bermudez A, Lu W, Öhberg P. 126.  2011. Phys. Rev. B 84:165115 [Google Scholar]
  127. Jiang JH. 127.  2012. Phys. Rev. A 85:033640 [Google Scholar]
  128. Anderson BM, Juzeliūnas G, Galitski VM, Spielman IB. 128.  2012. Phys. Rev. Lett. 108:235301 [Google Scholar]
  129. Dubček T, Kennedy CJ, Lu L, Ketterle W, Soljačić M, Buljan H. 129.  2015. Phys. Rev. Lett. 114:225301 [Google Scholar]
  130. Ganeshan S, Das Sarma S. 130.  2015. Phys. Rev. B 91:125438 [Google Scholar]
  131. Liu B, Li X, Yin L, Liu WV. 131.  2015. Phys. Rev. Lett. 114:045302 [Google Scholar]
  132. Lepori L, Fulga IC, Trombettoni A, Burrello M. 132.  2016.a Phys. Rev. B 94:085107 [Google Scholar]
  133. Lepori L, Fulga IC, Trombettoni A, Burrello M. 133.  2016.b Phys. Rev. A 94:053633 [Google Scholar]
  134. Syzranov SV, Wall ML, Zhu B, Gurarie V, Rey AM. 134.  2015. Nat. Commun. 7:13543 [Google Scholar]
  135. Kallin C, Berlinsky J. 135.  2016. Rep. Prog. Phys. 79:054502 [Google Scholar]
  136. Yano K, Sakakibara T, Tayama T, Yokoyama M, Amitsuka H. 136.  et al. 2008. Phys. Rev. Lett. 100:017004 [Google Scholar]
  137. Kasahara Y, Shishido H, Shibauchi T, Haga Y, Matsuda TD. 137.  et al. 2009. New J. Phys. 11:055061 [Google Scholar]
  138. Schemm ER, Baumbach RE, Tobash PH, Ronning F, Bauer ED, Kapitulnik A. 138.  2015. Phys. Rev. B 91:140506R) [Google Scholar]
  139. Kang J, Fernandes RM. 139.  2015. Phys. Rev. B 92:054504 [Google Scholar]
  140. Moon EG, Kim YB. 140.  2014. arXiv:1409.0573 [cond-mat.str-el]
  141. Xie LS, Schoop LM, Seibel EM, Gibson QD, Xie W, Cava RJ. 141.  2015. Appl. Phys. Lett. Mat. 3:083602 [Google Scholar]
  142. Abou-Chacra R, Anderson PW, Thouless DJ. 142.  1973. J. Phys. C: Solid State Phys. 6:1734 [Google Scholar]
  143. Mirlin AD, Fyodorov YV. 143.  1991. Nucl. Phys. B 366:507 [Google Scholar]
  144. Mirlin AD, Fyodorov YV. 144.  1994. Phys. Rev. Lett. 72:526 [Google Scholar]
  145. Mard HJ, Hoyos JA, Miranda E, Dobrosavljević V. 145.  2014. arXiv1412.3793v2
  146. Tikhonov KS, Mirlin AD, Skvortsov MA. 146.  2016. Phys. Rev. B 94:220203R) [Google Scholar]
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