Phase-space Berry phases in chiral magnets: Dzyaloshinskii-Moriya interaction and the charge of skyrmions

Physical Review B - Condensed Matter and Materials Physics

Volumn 88, Issue 21, 2013, Pages

  Freimuth, Frank ^a   Bamler, Robert ^b   Mokrousov, Yuriy ^a   Rosch, Achim ^b  

^a FORSCHUNGSZENTRUM JÜLICH   (Germany)

^b UNIVERSITY OF COLOGNE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84890645430     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.88.214409     Document Type: Article

References (48)

1. I. Dzyaloshinsky, J. Phys. Chem. Solids JPCSAW 0022-3697 10.1016/0022-3697(58)90076-3 4, 241 (1958).
2. T. Moriya, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.120.91 120, 91 (1960).
3. S. Mühlbauer, B. Binz, F. Jonietz, C. Pfleiderer, A. Rosch, A. Neubauer, R. Georgii, and P. Böni, Science SCIEAS 0036-8075 10.1126/science.1166767 323, 915 (2009).
4. X. Z. Yu, Y. Onose, N. Kanazawa, J. H. Park, J. H. Han, Y. Matsui, N. Nagaosa, and Y. Tokura, Nature(London) NATUAS 0028-0836 10.1038/nature09124 465, 901 (2010).
5. T. Schulz, R. Ritz, A. Bauer, M. Halder, M. Wagner, C. Franz, C. Pfleiderer, K. Everschor, M. Garst, and A. Rosch, Nat. Phys. 1745-2473 10.1038/nphys2231 8, 301 (2012).
6. K. Everschor, M. Garst, B. Binz, F. Jonietz, S. Mühlbauer, C. Pfleiderer, and A. Rosch, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86. 054432 86, 054432 (2012).
7. X. Z. Yu, N. Kanazawa, W. Z. Zhang, T. Nagai, T. Hara, K. Kimoto, Y. Matsui, Y. Onose, and Y. Tokura, Nat. Commun. 2041-1723 10.1038/ncomms1990 3, 988 (2012).
8. S. E. Barrett, G. Dabbagh, L. N. Pfeiffer, K. W. West, and R. Tycko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.5112 74, 5112 (1995).
9. H. A. Fertig, L. Brey, R. Cote, and A. H. MacDonald, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.50.11018 50, 11018 (1994).
10. S. L. Sondhi, A. Karlhede, S. A. Kivelson, and E. H. Rezayi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.47.16419 47, 16419 (1993).
11. D.-H. Lee and C. L. Kane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.1313 64, 1313 (1990).
12. L. Brey, H. A. Fertig, R. Cote, and A. H. MacDonald, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.2562 75, 2562 (1995).
13. M. V. Berry, Proc. R. Soc. London, Ser. A 1364-5021 10.1098/rspa.1984. 0023 392, 45 (1984).
14. G. Sundaram and Q. Niu, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.59.14915 59, 14915 (1999).
15. D. Xiao, M.-C. Chang, and Q. Niu, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.82.1959 82, 1959 (2010).
16. N. Nagaosa, J. Sinova, S. Onoda, A. H. MacDonald, and N. P. Ong, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.82.1539 82, 1539 (2010).
17. M. Lee, Y. Onose, Y. Tokura, and N. P. Ong, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.172403 75, 172403 (2007).
18. 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).
19. X. Wang, J. R. Yates, I. Souza, and D. Vanderbilt, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.74.195118 74, 195118 (2006). (Pubitemid 44791141)
20. S. Lowitzer, D. Ködderitzsch, and H. Ebert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.266604 105, 266604 (2010).
21. J. Weischenberg, F. Freimuth, J. Sinova, S. Blügel, and Y. Mokrousov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.106601 107, 106601 (2011).
22. I. Turek, J. Kudrnovský, and V. Drchal, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.014405 86, 014405 (2012).
23. A. Neubauer, C. Pfleiderer, B. Binz, A. Rosch, R. Ritz, P. G. Niklowitz, and P. Böni, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102. 186602 102, 186602 (2009).
24. N. Kanazawa, Y. Onose, T. Arima, D. Okuyama, K. Ohoyama, S. Wakimoto, K. Kakurai, S. Ishiwata, and Y. Tokura, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.156603 106, 156603 (2011).
25. S. X. Huang and C. L. Chien, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.267201 108, 267201 (2012).
26. R. Cheng and Q. Niu, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86. 245118 86, 245118 (2012).
27. F. Freimuth, S. Blügel, and Y. Mokrousov, arXiv: 1308.5983.
28. D. Xiao, J. Shi, and Q. Niu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.137204 95, 137204 (2005). (Pubitemid 43272649)
29. P. J. Morrison, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.70. 467 70, 467 (1998). (Pubitemid 128061897)
30. A. Liechtenstein, M. Katsnelson, V. Antropov, and V. Gubanov, J. Magn. Magn. Mater. JMMMDC 0304-8853 10.1016/0304-8853(87)90721-9 67, 65 (1987). (Pubitemid 17583667)
31. F. Freimuth, S. Blügel, and Y. Mokrousov, arXiv: 1305.4873.
32. B.-J. Yang and N. Nagaosa, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.245123 84, 245123 (2011).
33. X.-L. Qi, T. L. Hughes, and S.-C. Zhang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.195424 78, 195424 (2008).
34. T. Adams, S. Mühlbauer, C. Pfleiderer, F. Jonietz, A. Bauer, A. Neubauer, R. Georgii, P. Böni, U. Keiderling, K. Everschor, M. Garst, and A. Rosch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.217206 107, 217206 (2011).
35. A. A. Mostofi, J. R. Yates, Y.-S. Lee, I. Souza, D. Vanderbilt, and N. Marzari, Comput. Phys. Commun. 10.1016/j.cpc.2007.11.016 178, 685 (2008).
36. F. Freimuth, Y. Mokrousov, D. Wortmann, S. Heinze, and S. Blügel, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.035120 78, 035120 (2008).
37. Y. Ishikawa, G. Shirane, J. A. Tarvin, and M. Kohgi, Phys. Rev. B 1098-0121 10.1103/PhysRevB.16.4956 16, 4956 (1977).
38. See http://www.flapw.de
39. V. L. Moruzzi, J. F. Janak, and A. R. Williams, Calculated Electronic Properties of Metals (Pergamon, New York, 1978).
40. T. Jeong and W. E. Pickett, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.70.075114 70, 075114 (2004).
41. A. A. Mostofi, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/j.cpc.2007.11.016 178, 685 (2008).
42. J. R. Yates, X. Wang, D. Vanderbilt, and I. Souza, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.195121 75, 195121 (2007).
43. N. Marzari, A. A. Mostofi, J. R. Yates, I. Souza, and D. Vanderbilt, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.84.1419 84, 1419 (2012).
44. F. W. Warner, Foundations of Differentiable Manifolds and Lie Groups (Springer, New York, 1971).
45. M. Göckeler and T. Schücker, Differential Geometry, Gauge Theories, and Gravity (Cambridge University Press, Cambridge, UK, 1989).
46. J. Milnor and J. D. Stasheff, Characteristic Classes. (Princeton University Press, Princeton, NJ, 1974).
47. J. Rammer and H. Smith, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.58.323 58, 323 (1986).
48. S. Ryu, A. P. Schnyder, A. Furusaki, and A. W. W. Ludwig, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/6/065010 12, 065010 (2010).