Chiral anomaly and transport in Weyl metals

Journal of Physics Condensed Matter

Volumn 27, Issue 11, 2015, Pages

  Burkov, A A ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Dirac semimetal; topological insulator; Weyl semimetal

Indexed keywords

FERROMAGNETIC MATERIALS; FERROMAGNETISM; MAGNETORESISTANCE; TOPOLOGY;

ANOMALOUS HALL EFFECTS; FIRST BRILLOUIN ZONE; INTRINSIC CONTRIBUTION; NEGATIVE MAGNETO-RESISTANCE; TOPOLOGICAL INSULATORS; TOPOLOGICAL PROPERTIES; TRANSPORT CHARACTERISTICS; UNIVERSAL PROPERTIES;

METALS;

EID: 84924042225     PISSN: 09538984     EISSN: 1361648X     Source Type: Journal    
DOI: 10.1088/0953-8984/27/11/113201     Document Type: Article

References (89)

1. Kane C L and Mele E J 2005 Phys. Rev. Lett. 95 146802
2. Kane C L and Mele E J 2005 Phys. Rev. Lett. 95 226801
3. Bernevig B A, Hughes T L and Zhang S-C 2006 Science 314 1757
4. Moore J E and Balents L 2007 Phys. Rev. B 75 121306
5. Fu L, Kane C L and Mele E J 2007 Phys. Rev. Lett. 98 106803
6. König M, Wiedmann S, Brüne C, Roth A, Buhmann H, Molenkamp L, Qi X-L and Zhang S-C 2007 Science 318 766
7. Xia Y et al 2009 Nat. Phys. 5 398
8. Hasan M Z and Kane C L 2010 Rev. Mod. Phys. 82 3045
9. Qi X-L and Zhang S-C 2011 Rev. Mod. Phys. 83 1057
10. Wan X, Turner A M, Vishwanath A and Savrasov S Y 2011 Phys. Rev. B 83 205101
11. Yang K-Y, Lu Y-M and Ran Y 2011 Phys. Rev. B 84 075129
12. Burkov A A and Balents L 2011 Phys. Rev. Lett. 107 127205
13. Xu G, Weng H-M, Wang Z-J, Dai X and Fang Z 2011 Phys. Rev. Lett. 107 186806
14. Volovik G E 2003 The Universe in a Helium Droplet (Oxford: Clarendon)
15. Volovik G E 2007 Lect. Notes Phys. 718 31
16. Herring C 1937 Phys. Rev. 52 365
17. Abrikosov A A and Beneslavskii S D 1971 Sov. Phys. - JETP 32 699
18. Lifshitz E M and Pitaevskii L P 2004 Statistical Physics, Part 2 (Oxford: Butterworth-Heinemann)
19. Hořava P 2005 Phys. Rev. Lett. 95 016405
20. Chen Y, Bergman D L and Burkov A A 2013 Phys. Rev. B 88 125110
21. Young S M, Zaheer S, Teo J C Y, Kane C L and Mele E J 2012 Phys. Rev. Lett. 108 140405
22. Witczak-Krempa W and Kim Y B 2012 Phys. Rev. B 85 045124
23. Moon E-G, Xu C, Kim Y B and Balents L 2013 Phys. Rev. Lett. 111 206401
24. Witczak-Krempa W, Chen G, Kim Y B and Balents L 2014 Annu. Rev. Condens. Matter Phys. 5 57
25. Wang Z-J, Sun Y, Chen X-Q, Franchini C, Xu G, Weng H-M, Dai X and Fang Z 2012 Phys. Rev. B 85 195320
26. Wang Z J, Weng H-M, Wu Q-S, Dai X and Fang Z 2013 Phys. Rev. B 88 125427
27. Borisenko S, Gibson Q, Evtushinsky D, Zabolotnyy V, Büchner B and Cava R J 2014 Phys. Rev. Lett. 113 027603
28. Liu Z K et al 2014 Science 343 864
29. Neupane M et al 2014 Nat. Commun. 5 3786
30. Murakami S 2007 New J. Phys. 9 356
31. Sato T, Segawa K, Kosaka K, Souma S, Nakayama K, Eto K, Minami T, Ando Y and Takahashi T 2011 Nat. Phys. 7 840
32. Novak M, Sasaki S, Segawa K and Ando Y 2014 arXiv:1408.2183
33. Ludwig A W W, Fisher M P A, Shankar R and Grinstein G 1994 Phys. Rev. B 50 7526
34. Klinkhamer F R and Volovik G E 2005 Int. J. Mod. Phys. A 20 2795
35. Nagaosa N, Sinova J, Onoda S, MacDonald A H and Ong N P 2010 Rev. Mod. Phys. 82 1539
36. Xiao D, Chang M-C and Niu Q 2010 Rev. Mod. Phys. 82 1959
37. Fu L and Kane C L 2007 Phys. Rev. B 76 045302
38. Burkov A A, Hook M D and Balents L 2011 Phys. Rev. B 84 235126
39. Kohmoto M, Halperin B I and Wu Y-S 1992 Phys. Rev. B 45 13488
40. Potter A C, Kimchi I and Vishwanath A 2014 Nat. Commun. 5 5161
41. Fukushima K, Kharzeev D E and Warringa H J 2008 Phys. Rev. D 78 074033
42. Adler S 1969 Phys. Rev. 177 2426
43. Bell J S and Jackiw R 1969 Nuovo Cimento A 60 4
44. Nielsen H B and Ninomiya M 1983 Phys. Lett. B 130 389
45. Ryu S, Moore J E and Ludwig A W W 2012 Phys. Rev. B 85 045104
46. Furusaki A, Nagaosa N, Nomura K, Ryu S and Takayanagi T 2013 C. R. Phys. 14 871
47. Wen X G 2013 Phys. Rev. D 88 045013
48. Fujikawa K 1979 Phys. Rev. Lett. 42 1195
49. Zyuzin A A and Burkov A A 2012 Phys. Rev. B 86 115133
50. Středa P 1982 J. Phys. C 15 L717
51. Burkov A A 2014 Phys. Rev. B 89 155104
52. Vazifeh M M and Franz M 2013 Phys. Rev. Lett. 111 027201
53. Chen Y, Wu S and Burkov A A 2013 Phys. Rev. B 88 125105
54. Sinova J, Culcer D, Niu Q, Sinitsyn N A, Jungwirth T and MacDonald A H 2004 Phys. Rev. Lett. 92 126603
55. Mishchenko E G, Shytov A V and Halperin B I 2004 Phys. Rev. Lett. 93 226602
56. Inoue J, Bauer G E W and Molenkamp L 2004 Phys. Rev. B 70 041303
57. Inoue J, Kato T, Ishikawa Y, Itoh H, Bauer G E W and Molenkamp L 2006 Phys. Rev. Lett. 97 046604
58. Onoda S, Sugimoto N and Nagaosa N 2006 Phys. Rev. Lett. 97 126602
59. Sinitsyn N A, MacDonald A H, Jungwirth T, Dugaev V K and Sinova J 2007 Phys. Rev. B 75 045315
60. Kovalev A A, Sinova J and Tserkovnyak Y 2010 Phys. Rev. Lett. 105 036601
61. Yang S A, Pan H, Yao Y and Niu Q 2011 Phys. Rev. B 83 125122
62. Burkov A A 2014 Phys. Rev. Lett. 113 187202
63. Biswas R R and Ryu S 2014 Phys. Rev. B 89 014205
64. Son D T and Spivak B Z 2013 Phys. Rev. B 88 104412
65. Son D T and Yamamoto N 2012 Phys. Rev. Lett. 109 181602
66. Burkov A A 2014 Phys. Rev. Lett. 113 247203
67. Altland A and Simons B 2010 Condensed Matter Field Theory (Cambridge: Cambridge University Press)
68. Zyuzin A A, Wu S and Burkov A A 2012 Phys. Rev. B 85 165110
69. Li Q, Kharzeev D E, Zhang C, Huang Y, Pletikovic I, Fedorov A V, Zhong R D, Schneeloch J A, Gu G D and Valla T 2014 arXiv:1412.6543
70. Aji V 2012 Phys. Rev. B 85 241101
71. Liu C-X, Ye P and Qi X-L 2013 Phys. Rev. B 87 235306
72. Parameswaran S A, Grover T, Abanin D A, Pesin D A and Vishwanath A 2014 Phys. Rev. X 4 031035
73. Panfilov I, Burkov A A and Pesin D A 2014 Phys. Rev. B 89 245103
74. Lundgren R, Laurell P and Fiete G A 2014 Phys. Rev. B 90 165115
75. Hosur P, Parameswaran S A and Vishwanath A 2012 Phys. Rev. Lett. 108 046602
76. Grushin A G 2012 Phys. Rev. D 86 045001
77. Huang Z, Arovas D P and Balatsky A V 2013 New J. Phys. 15 123019
78. Goswami P and Tewari S 2013 Phys. Rev. B 88 245107
79. Hosur P and Qi X-L 2013 C. R. Phys. 14 857
80. Zhou J, Chang H-R and Xiao D 2015 Phys. Rev. B 91 035114
81. Zyuzin A A and Zyuzin V A 2014 arXiv:1410.2704
82. Chang M-C and Yang M-F 2014 arXiv:1411.1479
83. Witczak-Krempa W, Knap M and Abanin D 2014 Phys. Rev. Lett. 113 136402
84. Gorbar E V, Miransky V A, Shovkovy I A and Sukachov P O 2014 Phys. Rev. B 90 115131
85. Sekine A and Nomura K 2014 J. Phys. Soc. Japan 83 094710
86. Ramamurthy S T and Hughes T L 2014 arXiv:1405.7377
87. Meng T and Balents L 2012 Phys. Rev. B 86 054505
88. Cho G-Y, Bardarson J H, Lu Y-M and Moore J E 2012 Phys. Rev. B 86 214514
89. Wei H, Chao S-P and Aji V 2014 Phys. Rev. B 89 014506