Weyl semimetal with broken time reversal and inversion symmetries

Physical Review B - Condensed Matter and Materials Physics

Volumn 85, Issue 16, 2012, Pages

  Zyuzin, A A ^a   Wu, Si ^a   Burkov, A A ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84860263311     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.85.165110     Document Type: Article

References (31)

1. X. Wan, A. M. Turner, A. Vishwanath, and S. Y. Savrasov, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.205101 83, 205101 (2011).
2. L. Balents, Physics 1943-2879 10.1103/Physics.4.36 4, 36 (2011).
3. K.-Y. Yang, Y.-M. Lu, and Y. Ran, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.075129 84, 075129 (2011).
4. A. A. Burkov and L. Balents, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.127205 107, 127205 (2011).
5. A. A. Burkov, M. D. Hook, and L. Balents, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.235126 84, 235126 (2011).
6. W. Witczak-Krempa and Y.-B. Kim, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.045124 85, 045124 (2012).
7. G. Xu, H. Weng, Z. Wang, X. Dai, and Z. Fang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.186806 107, 186806 (2011).
8. G. B. Halász and L. Balents, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.035103 85, 035103 (2012).
9. P. Hosur, S. A. Parameswaran, and A. Vishwanath, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.046602 108, 046602 (2012).
10. V. Aji, e-print arXiv: 1108.4426.
11. G. E. Volovik, The Universe in a Helium Droplet (Clarendon Press, Oxford, 2003).
12. G. E. Volovik, Lect. Notes Phys. 0075-8450 10.1007/3-540-70859-6-3 718, 31 (2007).
13. G. E. Volovik, e-print arXiv: 1111.4627.
14. S. Murakami, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/9/356 9, 356 (2007). (Pubitemid 47511005)
15. Strictly speaking, this type of topological protection is imperfect, in the sense that node mixing is possible by a perturbation, which has a nonzero Fourier component at the momentum, separating the Weyl nodes. In practice, this is not a significant restriction. The main type of perturbation that will be present in experimental systems is disorder potential. This will, in general, have a nonzero Fourier component at any momentum. However, as long as this Fourier component has a zero mean, as one would expect for a random potential, it will not open a gap.
16. H. B. Nielsen and N. Ninomiya, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(81)90361-8 185, 20 (1981);
17. H. B. Nielsen and N. Ninomiya, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(81)90524-1 193, 173 (1981).
18. S. M. Carroll, G. B. Field, and R. Jackiw, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.41.1231 41, 1231 (1990).
19. R. Jackiw and V. A. Kostelecký, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.3572 82, 3572 (1999).
20. M. Pérez-Victoria, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.2518 83, 2518 (1999).
21. F. R. Klinkhamer and G. E. Volovik, Int. J. Mod. Phys. A IMPAEF 0217-751X 10.1142/S0217751X05020902 20, 2795 (2005). (Pubitemid 41002166)
22. A. Vilenkin, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.22.3080 22, 3080 (1980).
23. K. Fukushima, D. E. Kharzeev, and H. J. Warringa, Phys. Rev. D 1550-7998 10.1103/PhysRevD.78.074033 78, 074033 (2008).
24. Y. L. Chen, J.-H. Chu, J. G. Analytis, Z. K. Liu, K. Igarashi, H.-H. Kuo, X. L. Qi, S. K. Mo, R. G. Moore, D. H. Lu, M. Hashimoto, T. Sasagawa, S. C. Zhang, I. R. Fisher, A. Hussain, and Z. X. Shen, Science SCIEAS 0036-8075 10.1126/science.1189924 329, 659 (2010).
25. C.-Z. Chang, J.-S. Zhang, M.-H. Liu, Z.-C. Zhang, X. Feng, K. Li, L.-L. Wang, X. Chen, X. Dai, Z. Fang, X.-L. Qi, S.-C. Zhang, Y. Wang, K. He, X.-C. Ma, and Q.-K. Xue, e-print arXiv: 1108.4754.
26. G. Dresselhaus, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.100.580 100, 580 (1955).
27. P. Středa, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/15/22/005 15, L717 (1982).
28. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 61.2015 61, 2015 (1988).
29. S. Adler, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.177.2426 177, 2426 (1969).
30. J. S. Bell and R. Jackiw, Nuovo Cimento 60A, 4 (1969).
31. H. B. Nielsen and M. Ninomiya, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(83)91529-0 130, 389 (1983).