Disorder effects in the anomalous Hall effect induced by Berry curvature

Physical Review B - Condensed Matter and Materials Physics

Volumn 72, Issue 4, 2005, Pages

  Sinitsyn, N A ^a   Niu, Qian ^a   Sinova, Jairo ^b   Nomura, Kentaro ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33749233443     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.72.045346     Document Type: Article

References (38)

1. R. Karplus and J. M. Luttinger, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.95.1154 95, 1154 (1954).
2. F. Goos and H. Hänchen, Ann. Phys. (Leipzig) 1, 333 (1947);
3. F. I. Fedorov, Dokl. Akad. Nauk SSSR DANKAS 0002-3264 105, 465 (1955).
4. M. Onoda, S. Murakami, and N. Nagaosa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.083901 93, 083901 (2004).
5. K. Yu. Bliokh and V. D. Freilikher, cond-mat/0405384, Phys. Rev. B (to be published).
6. T. Jungwirth, Q. Niu, and A. H. MacDonald, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.207208 88, 207208 (2002).
7. G. Sundaram and Q. Niu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.14915 59, 14915 (1999).
8. V. S. Liberman and B. Ya. Zel'dovich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.5199 46, 5199 (1992).
9. J. M. Luttinger, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.112.739 112, 739 (1958).
10. W. Kohn and J. M. Luttinger, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.108.590 108, 590 (1957).
11. J. Smit, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/S0031-8914(55) 92596-9 21, 877 (1955);
12. J. Smit, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/S0031-8914(58) 93541-9 24, 39 (1958).
13. L. Berger, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.17.1453 17, 1453 (1978).
14. L. Berger, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.8.2351 8, 2351 (1973).
15. L. Berger, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.2.4559 2, 4559 (1970).
16. A. Crépieux and P. Bruno, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.014416 64, 014416 (2001).
17. V. K. Dugaev, A. Crépieux, and P. Bruno, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.104411 64, 104411 (2001).
18. S. K. Lyo and T. Holstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.29.423 29, 423 (1972).
19. Z. Fang, N. Nagaosa, K. S. Takahashi, A. Asamitsu, R. Mathieu, T. Ogasawara, H. Yamada, M. Kawasaki, Y. Tokura, and K. Terakura, Science SCIEAS 0036-8075, 302N5642, 92 (2003).
20. S. H. Chun, M. B. Salamon, Y. Lyanda-Geller, P. M. Goldbart, and P. D. Han, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.757 84, 757 (2000).
21. Y. Yao, L. Kleinman, A. H. MacDonald, J. Sinova, T. Jungwirth, D. S. Wang, E. Wang, and Q. Niu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.037204 92, 037204 (2004).
22. E. N. Adams and E. I. Blount, J. Phys. Chem. Solids JPCSAW 0022-3697 10.1016/0022-3697(59)90004-6 10, 286 (1959).
23. P. Nozieres and C. Lewiner, J. Phys. (France) JOPQAG 0302-0738 34, 901 (1973).
24. J.-N. Chazalviel, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.11.3918 11, 3918 (1975).
25. G. H. Wannier, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.117.432 117, 432 (1960).
26. M. G. Vavilov and I. L. Aleiner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.035303 69, 035303 (2004).
27. J. Sinova, D. Culcer, Q. Niu, N. A. Sinitsyn, T. Jungwirth, and A. H. MacDonald, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.126603 92, 126603 (2004);
28. Shuichi Murakami, Naoto Nagaosa, and Shou-Cheng Zhang, Science SCIEAS 0036-8075 10.1126/science.1087128 301, 1348 (2003).
29. J. I. Inoue, G. E. W. Bauer, and L. W. Molenkamp, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.041303 70, 041303 (2004).
30. K. Nomura, J. Sinova, T. Jungwirth, Q. Niu, and A. H. MacDonald, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.041304 71, 041304 (2005).
31. E. G. Mishchenko, A. V. Shytov, and B. I. Halperin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.226602 93, 226602 (2004).
32. Compare, for example, with Fig. 1 in O. Costa de Beauregard, C. Imbert, and Y. Levy, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.15.3553 15, 3553 (1977).
33. D. Culcer, A. MacDonald, and Q. Niu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.045327 68, 045327 (2003).
34. D. Culcer, J. Sinova, N. A. Sinitsyn, T. Jungwirth, A. H. MacDonald, and Q. Niu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.046602 93, 046602 (2004).
35. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 93.206602 93, 206602 (2004).
36. P. Bruno, V. K. Dugaev, and M. Taillefumier, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.096806 93, 096806 (2004).
37. S. Murakami, N. Nagaosa, and S.-C. Zhang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.235206 69, 235206 (2004).
38. V. K. Dugaev, P. Bruno, M. Taillefumier, B. Canals, and C. Lacroix, cond-mat/0502386.