Dynamical mean-field theory of the small polaron

Physical Review B - Condensed Matter and Materials Physics

Volumn 56, Issue 8, 1997, Pages 4494-4512

  Ciuchi, S ^a   de Pasquale, F ^b   Fratini, S ^b  

^a UNIVERSITY OF L'AQUILA   (Italy)

^b UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001606835     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.56.4494     Document Type: Article

References (59)

1. S. V. Tiablikov, Zh. Eksp. Teor. Fiz. 23, 381 (1952).
2. T. Holstein, Ann. Phys. (Leipzig) 8, 325 (1959).
3. 8, 343 (1959).
4. Lattice Effects in High Temperature Superconductors, edited by Y. Bar-Yam, J. Mustre de Leon, and A. R. Bishop (World Scientific, Singapore, 1992).
5. A. J. Millis, P. B. Littlewood, and B. I. Shraiman, Phys. Rev. Lett. 74, 5144 (1995).
6. T. A. Tyson, J. Mustre de Leon, S. D. Conradson, A. R. Bishop, J. J. Neumeier, H. Röder, and Jun Zang, Phys. Rev. B 53, 13 985 (1996).
7. Y. Yamada, O. Hino, S. Nohdo, R. Kanao, T. Inami, and S. Katano, Phys. Rev. Lett. 77, 904 (1996).
8. Y. H. Kim, C. M. Foster, A. J. Heeger, S. Cox, and G. Stucky, Phys. Rev. B 38, 6478 (1988).
9. C. Taliani, R. Zambone, G. Raum, F. C. Matacotta, and K. I. Pokhadnya, Solid State Commun. 66, 487 (1988).
10. S. Lupi, P. Calvani, M. Capizzi, P. Maselli, W. Sadowski, and E. Walker, Phys. Rev. B 45, 12 470 (1992).
11. P. Calvani, M. Capizzi, S. Lupi, P. Maselli, A. Paolone, and P. Roy, 53, 2756 (1996).
12. A. Bianconi, M. Missori, H. Oyanagi, H. Yamaguchi, D. H. Ha, Y. Nishiara, and S. Della Longa, Europhys. Lett. 31, 411 (1995).
13. L. D. Landau and S. I. Pekar, Zh. Eksp. Teor. Fiz. 16, 341 (1946).
14. I. G. Lang and Yu. A. Firsov, Zh. Eksp. Teor. Fiz. 43, 1843 (1962) [Sov. Phys. JETP 16, 1301 (1963)].
15. A. S. Alexandrov and J. Ranninger, Phys. Rev. B 45, 13 109 (1992).
16. Physica C 198, 360 (1992).
17. A. A. Gogolin, Phys. Status Solidi B 109, 95 (1982).
18. A. S. Alexandrov and H. Capellmann, Phys. Rev. B 43, 2042 (1991).
19. T. D. Lee, F. Low, and D. Pines, Phys. Rev. 90, 297 (1953).
20. D. Emin, Adv. Phys. 22, 57 (1973).
21. D. Emin and T. Holstein, Phys. Rev. Lett. 36, 323 (1976).
22. D. Feinberg, S. Ciuchi, and F. de Pasquale, Int. J. Mod. Phys. B 4, 1317 (1990).
23. F. de Pasquale, S. Ciuchi, J. Bellissard, and D. Feinberg, Rev. Solid State Sci. 2, 443 (1988).
24. V. V. Kabanov and O. Yu. Mashtakov, Phys. Rev. B 47, 6060 (1993).
25. H. de Raedt and Ad Lagendijk, Phys. Rev. B 30, 1671 (1984).
26. A. Georges and G. Kotliar, Phys. Rev. B 45, 6479 (1992).
27. M. Jarrell, Phys. Rev. Lett. 69, 168 (1992).
28. P. G. J. Van Dongen and D. Vollhardt, Phys. Rev. Lett. 65, 1663 (1990).
29. A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996).
30. S. Ciuchi, F. de Pasquale, C. Masciovecchio, and D. Feinberg, Europhys. Lett. 24, 575 (1993).
31. S. Ciuchi, F. de Pasquale, C. Masciovecchio, and D. Feinberg, in Superconductivity and Strongly Correlated Electron Systems, edited by C. Noce, A. Romano, and G. Scarpetta (World Scientific, Singapore, 1994), p. 58.
32. J. K. Freericks, Phys. Rev. B 50, 748 (1994).
33. J. K. Freericks, M. Jarrell, and D. J. Scalapino, Phys. Rev. B 48, 6302 (1993).
34. J. K. Freericks and M. Jarrell, Phys. Rev. Lett. 75, 2570 (1995).
35. A. J. Millis, R. Mueller, and B. I. Shraiman, Phys. Rev. B 54, 5389 (1996).
36. S. Ciuchi, F. de Pasquale, and D. Feinberg, Europhys. Lett. 30, 151 (1995).
37. H. de Raedt and Ad Lagendijk, Phys. Rev. Lett. 49, 1522 (1982).
38. Phys. Rev. B 27, 6097 (1983).
39. F. Marsiglio, Phys. Lett. A 180, 280 (1993).
40. Physica C 244, 21 (1995).
41. M. Capone, M. Grilli, and W. Stephan (unpublished).
42. T. Hotta and Y. Takada, Phys. Rev. Lett. 76, 3180 (1996).
43. G. D. Mahan, Many-Particle Physics (Plenum Press, New York, 1990), Chaps. 4 and 6, and references cited therein.
44. W. Metzner and D. Vollhardt, Phys. Rev. Lett. 62, 324 (1989).
45. S. Engelsberg and J. R. Schrieffer, Phys. Rev. 131, 993 (1963).
46. E. Cappelluti and L. Pietronero, Phys. Rev. B 53, 932 (1996).
47. E. Cappelluti (private communication).
48. E. V. L. de Mello and J. Ranninger (unpublished).
49. E. Muller-Hartmann, Z. Phys. B 74, 507 (1989).
50. E. N. Economou, Green’s Functions in Quantum Physics (Springer Verlag, Berlin, 1983).
51. M. Cini and A. D’Andrea, J. Phys. C 21, 193 (1988).
52. V. S. Viswanath and G. Müller, The Recursion Method (Springer-Verlag, Berlin, 1994).
53. A. B. Migdal, Zh. Eksp. Teor. Fiz. 34, (1958) [Sov. Phys. JETP 7, 996 (1958)].
54. D. Vollhardt, in Correlated Electron Systems, edited by V. J. Emery (World Scientific, Singapore, 1992).
55. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover Publications, New York, 1972).
56. R. P. Feynman, Statistical Mechanics: A Set of Lectures (Addison-Wesley, Redwood City, 1972).
57. B. Gerlach and H. Löwen, Phys. Rev. B 35, 4291 (1987).
58. H. Löwen, 37, 8661 (1988).
59. See, for example, the review F. Yonezawa and K. Morigaki, Prog. Theor. Phys. Suppl. 53, 3 (1973).