Correlated band theory of spin and orbital contributions to Dzyaloshinskii-Moriya interactions

Physical Review B - Condensed Matter and Materials Physics

Volumn 82, Issue 10, 2010, Pages

  Katsnelson, M I ^a   Kvashnin, Y O ^b,c   Mazurenko, V V ^b,c   Lichtenstein, A I ^c  

^a RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

^b URAL FEDERAL UNIVERSITY   (Russian Federation)

^c UNIVERSITY OF HAMBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77957598666     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.100403     Document Type: Article

References (42)

1. I. Dzyaloshinsky, J. Phys. Chem. Solids 4, 241 (1958). 10.1016/0022-3697(58)90076-3
2. T. Moriya, Phys. Rev. 120, 91 (1960) 10.1103/PhysRev.120.91
3. T. Moriya, in Magnetism, edited by, G. T. Rado, and, H. Suhl, (Academic Press, New York, 1963), Vol. I, p. 86.
4. S. V. Vonsovsky, Magnetism (Wiley, New York, 1974), Vol. 2.
5. A. J. Bray and M. A. Moore, J. Phys. C 15, 3897 (1982). 10.1088/0022-3719/15/18/007
6. M. I. Katsnelson, V. V. Dobrovitski, and B. N. Harmon, Phys. Rev. B 59, 6919 (1999). 10.1103/PhysRevB.59.6919
7. H. A. De Raedt, A. H. Hams, V. V. Dobrovitski, M. Al-Saqer, M. I. Katsnelson, and B. N. Harmon, J. Magn. Magn. Mater. 246, 392 (2002). 10.1016/S0304-8853(02)00111-7 (Pubitemid 34536823)
8. H. De Raedt, S. Miyashita, K. Michielsen, and M. Machida, Phys. Rev. B 70, 064401 (2004). 10.1103/PhysRevB.70.064401
9. S.-W. Cheong and M. Mostovoy, Nature Mater. 6, 13 (2007). 10.1038/nmat1804 (Pubitemid 46043268)
10. M. Bode, M. Heide, K. von Bergmann, P. Ferriani, S. Heinze, G. Bihlmayer, A. Kubetzka, O. Pietzsch, S. Blügel, and S. Wiesendanger, Nature (London) 447, 190 (2007). 10.1038/nature05802 (Pubitemid 46763084)
11. E. Y. Vedmedenko, L. Udvardi, P. Weinberger, and R. Wiesendanger, Phys. Rev. B 75, 104431 (2007). 10.1103/PhysRevB.75.104431
12. L. Udvardi, A. Antal, L. Szunyogh, A. Buruzs, and P. Weinberger, Physica B 403, 402 (2008). 10.1016/j.physb.2007.08.060 (Pubitemid 350297765)
13. M. Heide, G. Bihlmayer, and S. Blügel, Phys. Rev. B 78, 140403 (R) (2008). 10.1103/PhysRevB.78.140403
14. M. V. Eremin, D. V. Zakharov, H.-A. Krug von Nidda, R. M. Eremina, A. Shuvaev, A. Pimenov, P. Ghigna, J. Deisenhofer, and A. Loidl, Phys. Rev. Lett. 101, 147601 (2008). 10.1103/PhysRevLett.101.147601
15. P. W. Anderson, Phys. Rev. 115, 2 (1959). 10.1103/PhysRev.115.2
16. T. Yildirim, A. B. Harris, A. Aharony, and O. Entin-Wohlman, Phys. Rev. B 52, 10239 (1995). 10.1103/PhysRevB.52.10239
17. I. Solovyev, N. Hamada, and K. Terakura, Phys. Rev. Lett. 76, 4825 (1996). 10.1103/PhysRevLett.76.4825
18. V. P. Antropov, M. I. Katsnelson, and A. I. Lichtenstein, Physica B 237-238, 336 (1997). 10.1016/S0921-4526(97)00203-2
19. M. I. Katsnelson and A. I. Lichtenstein, Phys. Rev. B 61, 8906 (2000). 10.1103/PhysRevB.61.8906
20. L. Udvardi, L. Szunyogh, K. Palotás, and P. Weinberger, Phys. Rev. B 68, 104436 (2003). 10.1103/PhysRevB.68.104436
21. A. Antal, B. Lazarovits, L. Udvardi, L. Szunyogh, B. Újfalussy, and P. Weinberger, Phys. Rev. B 77, 174429 (2008). 10.1103/PhysRevB.77.174429
22. V. V. Mazurenko and V. I. Anisimov, Phys. Rev. B 71, 184434 (2005). 10.1103/PhysRevB.71.184434 (Pubitemid 43292162)
23. A. I. Liechtenstein, M. I. Katsnelson, V. P. Antropov, and V. A. Gubanov, J. Magn. Magn. Mater. 67, 65 (1987). 10.1016/0304-8853(87)90721-9 (Pubitemid 17583667)
24. B. Heide, G. Bihlmayer, and S. Blügel, Physica B 404, 2678 (2009). 10.1016/j.physb.2009.06.070
25. M. I. Katsnelson and A. I. Lichtenstein, Eur. Phys. J. B 30, 9 (2002). 10.1140/epjb/e2002-00352-1 (Pubitemid 135698266)
26. V. I. Anisimov, D. E. Kondakov, A. V. Kozhevnikov, I. A. Nekrasov, Z. V. Pchelkina, J. W. Allen, S.-K. Mo, H.-D. Kim, P. Metcalf, S. Suga, A. Sekiyama, G. Keller, I. Leonov, X. Ren, and D. Vollhardt, Phys. Rev. B 71, 125119 (2005). 10.1103/PhysRevB.71.125119 (Pubitemid 40771086)
27. V. I. Anisimov, F. Aryasetiawan, and A. I. Lichtenstein, J. Phys.: Condens. Matter 9, 767 (1997). 10.1088/0953-8984/9/4/002
28. A. I. Lichtenstein and M. I. Katsnelson, Phys. Rev. B 57, 6884 (1998). 10.1103/PhysRevB.57.6884
29. G. Kotliar, S. Y. Savrasov, K. Haule, V. S. Oudovenko, O. Parcollet, and C. A. Marianetti, Rev. Mod. Phys. 78, 865 (2006). 10.1103/RevModPhys.78.865
30. See supplementary material at http://link.aps.org/supplemental/10.1103/ PhysRevB.82.100403 for the rotation of the orbital part of the total moment operator in Wannier function basis.
31. G. M. Stocks, B. Ujfalussy, X. D. Wang, D. M. C. Nicholson, W. A. Shelton, Y. Wang, A. Canning, and B. L. Gyorffy, Philos. Mag. B 78, 665 (1998). 10.1080/13642819808206775
32. D. Coffey, T. M. Rice, and F. C. Zhang, Phys. Rev. B 44, 10112 (1991). 10.1103/PhysRevB.44.10112
33. N. E. Bonesteel, T. M. Rice, and F. C. Zhang, Phys. Rev. Lett. 68, 2684 (1992). 10.1103/PhysRevLett.68.2684
34. T. Thio, T. R. Thurston, N. W. Preyer, P. J. Picone, M. A. Kastner, H. P. Jenssen, D. R. Gabbe, C. Y. Chen, R. J. Birgeneau, and A. Aharony, Phys. Rev. B 38, 905 (1988). 10.1103/PhysRevB.38.905
35. D. Coffey, K. S. Bedell, and S. A. Trugman, Phys. Rev. B 42, 6509 (1990). 10.1103/PhysRevB.42.6509
36. I. V. Solovyev, A. I. Liechtenstein, and K. Terakura, Phys. Rev. Lett. 80, 5758 (1998). 10.1103/PhysRevLett.80.5758
37. O. K. Andersen and T. Saha-Dasgupta, Phys. Rev. B 62, R16219 (2000). 10.1103/PhysRevB.62.R16219 (Pubitemid 32372694)
38. N. Marzari and D. Vanderbilt, Phys. Rev. B 56, 12847 (1997). 10.1103/PhysRevB.56.12847
39. I. V. Solovyev, Z. V. Pchelkina, and V. I. Anisimov, Phys. Rev. B 75, 045110 (2007). 10.1103/PhysRevB.75.045110
40. F. Freimuth, Y. Mokrousov, D. Wortmann, S. Heinze, and S. Blügel, Phys. Rev. B 78, 035120 (2008). 10.1103/PhysRevB.78.035120
41. M. A. Kastner, R. J. Birgeneau, T. R. Thurston, P. J. Picone, H. P. Jenssen, D. R. Gabbe, M. Sato, K. Fukuda, S. Shamoto, Y. Endoh, K. Yamada, and G. Shirane, Phys. Rev. B 38, 6636 (1988). 10.1103/PhysRevB.38.6636
42. V. I. Anisimov, M. A. Korotin, I. A. Nekrasov, Z. V. Pchelkina, and S. Sorella, Phys. Rev. B 66, 100502 (R) (2002). 10.1103/PhysRevB.66.100502