Density-operator theory of orbital magnetic susceptibility in periodic insulators

Physical Review B - Condensed Matter and Materials Physics

Volumn 84, Issue 6, 2011, Pages

  Gonze, X ^a   Zwanziger, J W ^b  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^b DALHOUSIE UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80052359898     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.84.064445     Document Type: Article

References (29)

1. R. M. Martin, Electronic Structure. Basic Theory and Practical Methods (Cambridge University Press, Cambridge, 2004), Chap. 19.
2. S. Baroni, S. de Gironcoli, A. Dal Corso, and P. Giannozzi, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.515 73, 515 (2001);
3. X. Wu, D. Vanderbilt, and D. R. Hamann, Phys. Rev. B RMPHAT 1098-0121 10.1103/PhysRevB.72.035105 72, 035105 (2005), see also references therein. (Pubitemid 41506678)
4. X. Gonze and C. Lee, Phys. Rev. B RMPHAT 1098-0121 10.1103/PhysRevB.55. 10355 55, 10355 (1997).
5. N. Spaldin, R. W. Cheong, and R. Ramesh, Phys. Today PHTOAD 0031-9228 10.1063/1.3502547 63, 38 (2010).
6. W. Cai and G. Galli, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.186402 92, 186402 (2004);
7. E. Lee E., W. Cai, and G. Galli, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2007.05.022 226, 1310 (2007).
8. R. D. King-Smith and D. Vanderbilt, Phys. Rev. B JCTPAH 1098-0121 10.1103/PhysRevB.47.1651 47, 1651 (1993);
9. D. Vanderbilt and R. D. King-Smith, ibid. JCTPAH 1098-0121 10.1103/PhysRevB.48.4442 48, 4442 (1993);
10. R. Resta, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.66.899 66, 899 (1994). (Pubitemid 24821630)
11. R. W. Nunes and X. Gonze, Phys. Rev. B RMPHAT 1098-0121 10.1103/PhysRevB.63.155107 63, 155107 (2001);
12. I. Souza, J. Iñiguez, and D. Vanderbilt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.117602 89, 117602 (2002);
13. P. Umari and A. Pasquarello, ibid. PRLTAO 0031-9007 10.1103/PhysRevLett. 89.157602 89, 157602 (2002).
14. M. Veithen, X. Gonze, and Ph. Ghosez, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.71.125107 71, 125107 (2005). (Pubitemid 40777618)
15. F. Mauri and S. G. Louie, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.4246 76, 4246 (1996).
16. F. Mauri, B. G. Pfrommer, and S. G. Louie, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.5300 77, 5300 (1996);
17. C. J. Pickard and F. Mauri, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.63.245101 63, 245101 (2001).
18. M. d'Avezac, N. Marzari, and F. Mauri, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.76.165122 76, 165122 (2007).
19. C. J. Pickard and F. Mauri, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.086403 88, 086403 (2002).
20. D. Sebastiani and M. Parrinello, J. Phys. Chem. A JPCAFH 1089-5639 10.1021/jp002807j 105, 1951 (2001). (Pubitemid 32259487)
21. T. Thonhauser, D. Ceresoli, D. Vanderbilt, and R. Resta, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.137205 95, 137205 (2005); (Pubitemid 41505589)
22. D. Ceresoli, T. Thonhauser, D. Vanderbilt, and R. Resta, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.74.024408 74, 024408 (2006). (Pubitemid 44061124)
23. A. M. Essin, A. M. Turner, J. E. Moore, and D. Vanderbilt, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.81.205104 81, 205104 (2010).
24. E. I. Blount, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.126.1636 126, 1636 (1962) and references therein;
25. R. M. White, Phys. Rev. B PHRVAO 1098-0121 10.1103/PhysRevB.10.3426 10, 3426 (1974).
26. J. Zak, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.134.A1602 134, A1602 (1964).
27. R. McWeeny, Phys. Rev. B PHRVAO 0031-899X 10.1103/PhysRev.126.1028 126, 1028 (1962);
28. M. Lazzeri and F. Mauri, ibid. PHRVAO 1098-0121 10.1103/PhysRevB.68. 161101 68, 161101 (R) (2003).
29. J. Shi, G. Vignale, Di Xiao, and Q. Niu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.197202 99, 197202 (2007). (Pubitemid 350099146)