Variational approach for the holstein molecular-crystal model

Physical Review B - Condensed Matter and Materials Physics

Volumn 60, Issue 22, 1999, Pages 15163-15172

  Cataudella, V ^a   Filippis, G D ^a   Iadonisi, G ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000090208     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.60.15163     Document Type: Article

References (58)

1. J. P. Falk, M. A. Kastner, and R. J. Birgenau, Phys. Rev. B 48, 4043 (1993);
2. Xiang-Xin Bi and Peter C. Eklund, Phys. Rev. Lett. 70, 2625 (1993);
3. K. H. Kim, J. H. Jung, and T. W. Noh, cond-mat/9804167 (unpublished);P. Calvani, in Models and Phenomenology for Conventional and High-temperature Superconductivity, Proceedings of the International School of Physics “Enrico Fermi,” Course CXXXVI, Varenna, 1997, edited by G. Iadonisi, J. R. Schrieffer, and M. L. Chiofalo (IOS Press, Amsterdam, 1998).
4. Guo-meng- Zhao, K. Conder, H. Keller, and K. A. Muller, Nature (London) 381, 676 (1996);
5. Nature (London)Guo-Meng- Zhao, M. B. Hunt, H. Keller, and K. A. Muller, 385, 236 (1997);
6. K. H. Kim, J. Y. Gu, H. S. Choi, G. W. Park, and T. W. Noh, Phys. Rev. Lett. 77, 1877 (1996);
7. Phys. Rev. Lett.S. J. L. Billinge, R. G. Di Francesco, G. H. Kwei, J. J. Neumeier, and J. D. Thompson, 77, 715 (1996);
8. Phys. Rev. Lett.A. J. Millis, P. B. Littlewood, and B. I. Shraiman, 74, 5144 (1995);
9. J. M. De Teresa, M. R. Ibarra, P. A. Algarabel, C. Ritter, C. Marquina, J. Blasco, J. Garcia, A. del Moral, and Z. Arnold, Nature (London) 386, 256 (1997);
10. Nature (London)J. B. Goodenough and J. S. Zhou, 386, 229 (1997);
11. Nature (London)J. S. Zhou, W. Archibald, and J. B. Goodenough, 381, 770 (1996).
12. A. Lanzara, N. L. Saini, M. Brunelli, F. Natali, A. Bianconi, P. G. Radaelli, and S. W. Cheong, Phys. Rev. Lett. 81, 878 (1998).
13. A. Bianconi, N. L. Saini, A. Lanzara, M. Missori, T. Rossetti, H. Oyanagi, H. Yamaguchi, K. Oka, and T. Ito, Phys. Rev. Lett. 76, 3412 (1996).
14. T. Holstein, Ann. Phys. (N.Y.) 8, 325 (1959);
15. Ann. Phys. (N.Y.)T. Holstein8, 343 (1959);
16. D. Emin, Adv. Phys. 22, 57 (1973);
17. for recent reviews on the polarons, see A. S. Alexandrov and N. F. Mott, Rep. Prog. Phys. 57, 1197 (1994).
18. A. B. Migdal, Zh. Éksp. Teor. Fiz. 34, 1438 (1958) [Sov. Phys. JETP 7, 996 (1958)].
19. F. Marsiglio, Physica C 244, 21 (1995);
20. I. J. Lang and Yu. A. Firsov, Zh. Éksp. Teor. Fiz. 43, 1843 (1962) [Sov. Phys. JETP 16, 1301 (1963)];Yu. A. Firsov, Polarons (Nauka, Moscow, 1975);
21. A. A. Gogolin, Phys. Status Solidi 109, 95 (1982);
22. W. Stephan, Phys. Rev. B 54, 8981 (1996).
23. H. de Raedt and Ad Lagendijk, Phys. Rev. B 27, 6097 (1983);
24. Phys. Rev. BH. de RaedtAd Lagendijk30, 1671 (1984).
25. P. E. Kornilovitch, Phys. Rev. Lett. 81, 5382 (1998).
26. J. Ranninger and U. Thibblin, Phys. Rev. B 45, 7730 (1992);
27. Phys. Rev. BE. de Mello and J. Ranninger, 55, 14 872 (1997);
28. A. Kongeter and M. Wagner, J. Chem. Phys. 92, 4003 (1990);
29. M. Capone, W. Stephan, and M. Grilli, Phys. Rev. B 56, 4484 (1997);
30. Phys. Rev. BA. S. Alexandrov, V. V. Kabanov, and D. K. Ray, 49, 9915 (1994);
31. Phys. Rev. BG. Wellein and H. Fehske, 56, 4513 (1997);
32. H. Fehske, J. Loos, and G. Wellein, Z. Phys. B: Condens. Matter 104, 619 (1997).
33. S. Ciuchi, F. de Pasquale, S. Fratini, and D. Feinberg, Phys. Rev. B 56, 4494 (1997);
34. S. Ciuchi, F. de Pasquale, and D. Feinberg, Physica C 235-240, 2389 (1994).
35. S. R. White, Phys. Rev. B 48, 10 345 (1993);
36. Phys. Rev. BE. Jeckelmann and S. R. White, 57, 6376 (1998).
37. A. H. Romero, D. W. Brown, and K. Lindenberg, Phys. Rev. B 59, 13 728 (1999);
38. A. H. RomeroD. W. BrownK. LindenbergJ. Comp. Physiol. 109, 6540 (1998);
39. A. H. RomeroD. W. BrownK. Lindenbergcond-mat/9809025(unpublished);
40. A. H. RomeroD. W. BrownK. Lindenbergcond-mat/9710321(unpublished).
41. G. Iadonisi, V. Cataudella, and D. Ninno, Phys. Status Solidi B 203, 411 (1997);
42. G. Iadonisi, V. Cataudella, G. De Filippis, and D. Ninno, Europhys. Lett. 41, 309 (1998);
43. Y. Lepine and Y. Frongillo, Phys. Rev. B 46, 14 510 (1992).
44. H. Lowen, Phys. Rev. B 37, 8661 (1988);
45. B. Gerlach and H. Lowen, Rev. Mod. Phys. 63, 63 (1991).
46. S. I. Pekar, Zh. Eksp. Teor. Fiz. 16, 335 (1946);
47. Ad Lagendijk and H. de Raedt, Phys. Lett. 108A, 91 (1985). In these two references the adiabatic approximation is developed within the Frohlich and Holstein model, respectively.
48. Y. Toyozawa, Prog. Theor. Phys. 26, 29 (1961).
49. H. Frohlich, H. Pelzer, and S. Zienau, Philos. Mag. 41, 221 (1950);
50. H. Frohlich, in Polarons and Excitons, edited by C. G. Kuper and G. A. Whitfield (Oliver and Boyd, Edinburg, 1963), p. 1.
51. T. D. Lee, F. Low, and D. Pines, Phys. Rev. 90, 297 (1953).
52. E. Haga, Prog. Theor. Phys. 13, 555 (1955);
53. D. M. Larsen, Phys. Rev. 144, 697 (1966).
54. S. Engelsberg and J. R. Schrieffer, Phys. Rev. 131, 993 (1963).
55. D. M. Eagles, Phys. Rev. 145, 645 (1966);
56. D. M. EaglesJ. Phys. C 17, 637 (1984);
57. D. M. EaglesPhys. Rev. 181, 1278 (1969).
58. D. Emin, Phys. Rev. B 48, 13 691 (1993).