Nonlinear response of Bloch electrons in infinite dimensions

Physical Review B - Condensed Matter and Materials Physics

Volumn 71, Issue 8, 2005, Pages

  Turkowski, V ^a   Freericks, J K ^a  

^a GEORGETOWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CRYSTAL STRUCTURE; ELECTRIC FIELD; ELECTRON TRANSPORT; ELECTRONICS; MATHEMATICAL ANALYSIS;

EID: 16344380457     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.085104     Document Type: Article

References (46)

1. R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957).
2. D. A. Greenwood, Proc. Phys. Soc. London 71, 585 (1958).
3. S. K. Sarker, J. H. Davies, F. S. Khan, and J. W. Wilkins, Phys. Rev. B 33, 7263 (1986).
4. F. S. Khan, J. H. Davies, and J. W. Wilkins, Phys. Rev. B 36, 2578 (1987).
5. P. Lipavský, F. S. Khan, F. Abdolsalami, and J. W. Wilkins, Phys. Rev. B 43, 4885 (1991).
6. P. Lipavský, F. S. Khan, A. Kalvová, and J. W. Wilkins, Phys. Rev. B 43, 6650 (1991).
7. P. Lipavský, F. S. Khan, and J. W. Wilkins, Phys. Rev. B 43, 6665 (1991).
8. L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, New York, 1962).
9. L. V. Keldysh, Zh. Eksp. Teor. Fiz. 47, 1945 (1964).
10. L. V. Keldysh, Sov. Phys. JETP 20, 1018 (1965).
11. G. Baym, Progress in Nonequilibrium Green's Functions, adited by M. Bonitz (World Scientific, River Edge, NJ, 2000), p. 17.
12. L. V. Keldysh, Progress in Nonequilibrium Green's Functions II, edited by M. Bonitz and D. Semkat (World Scientific, River Edge, NJ, 2003), p. 4.
13. J. Rammer and H. Smith, Rev. Mod. Phys. 58, 323 (1986).
14. A. P. Jauho and J. W. Wilkins, Phys. Rev. Lett. 49, 762 (1982).
15. A. P. Jauho and J. W. Wilkins, Phys. Rev. B 29, 1919 (1984).
16. J. H. Davies and J. W. Wilkins, Phys. Rev. B 38, 1667 (1988).
17. G. H. Wannier, Rev. Mod. Phys. 34, 645 (1962).
18. W. Metzner and D. Vollhardt, Phys. Rev. Lett. 62, 324 (1989).
19. U. Brandt and C. Mielsch, Z. Phys. B: Condens. Matter 75, 365 (1989).
20. U. Brandt and C. Mielsch, Z. Phys. B: Condens. Matter 79, 295 (1990).
21. U. Brandt and C. Mielsch, Z. Phys. B: Condens. Matter 82, 37 (1991).
22. M. Jarrell, Phys. Rev. Lett. 69, 168 (1992).
23. M. J. Rozenberg, X. Y. Zhang, and G. Kotliar, Phys. Rev. Lett. 69, 1236 (1992).
24. R. Bulla, Phys. Rev. Lett. 83, 136 (1999).
25. M. Jarrell, H. Akhlaghpour, and T. Pruschke, Phys. Rev. Lett. 70, 1670 (1993).
26. T. Pruschke, R. Bulla, and M. Jarrell, Phys. Rev. B 61, 12 799 (2000).
27. J. K. Freericks, M. Jarrell, and D. J. Scalapino, Phys. Rev. B 48, 6302 (1993).
28. D. Meyer, A. C. Hewson, and R. Bulla, Phys. Rev. Lett. 89, 196401 (2002).
29. A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996).
30. J. K. Freericks and V. Zlatić, Rev. Mod. Phys. 75, 1333 (2003).
31. S. Savrasov, G. Kotliar, and E. Abrahams, Nature (London) 410, 793 (2001).
32. X. Dai, S. Y. Savrasov, G. Kotliar, A. Migliori, H. Ledbetter, and E. Abrahams, Science 300, 953 (2003).
33. K. Held, G. Keller, V. Eyert, D. Vollhardt, and V. I. Anisimov, Phys. Rev. Lett. 86, 5345 (2001).
34. I. Yang, S. Y. Savrasov, and G. Kotliar, Phys. Rev. Lett. 87, 216405 (2001).
35. G. Kotliar and D. Vollhardt, Phys. Today 57, 53 (2004).
36. P. Schmidt and H. Monien, cond-mat/0202046.
37. P. Schmidt, Diplome thesis, University of Bonn, 2002.
38. A. P. Jauho and K. Johnsen, Phys. Rev. Lett. 76, 4576 (1996).
39. E. Müller-Hartmann, Z. Phys. B: Condens. Matter 74, 507 (1989).
40. E. Müller-Hartmann, Z. Phys. B: Condens. Matter 76, 211 (1989).
41. E. Müller-Hartmann, Int. J. Mod. Phys. B 3, 2169 (1989).
42. N. W. Ashcroft and N. D. Mermin, Solid State Physics (Holt, Rinehart and Winston, Philadelphia, 1976).
43. Y. V. Sharvin, Zh. Eksp. Teor. Fiz. 48, 984 (1965).
44. Y. V. Sharvin, Sov. Phys. JETP 21, 655 (1965).
45. E. P. Wigner, Phys. Rev. 40, 749 (1932).
46. R. Bertoncini and A. P. Jauho, Phys. Rev. B 44, 3655 (1991).