Small bipolarons in the 2-dimensional Holstein-Hubbard model. I. The adiabatic limit

European Physical Journal B

Volumn 11, Issue 1, 1999, Pages 41-58

  Proville, L ^a,b   Aubry, S ^a  

^a CEA SACLAY   (France)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

71.10.Fd Lattice fermion models (Hubbard model, etc.); 71.38.+i Polarons and electron phonon interactions

Indexed keywords

EID: 0002059037     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510050915     Document Type: Article

References (35)

1. J. Bardeen, L.N. Cooper, J.R. Schrieffer, Phys. Rev. 106, 162-164 (1957); 108, 1175-1204 (1957).
2. J. Bardeen, L.N. Cooper, J.R. Schrieffer, Phys. Rev. 106, 162-164 (1957); 108, 1175-1204 (1957).
3. A.B. Migdal, Zh. Eksperim. Fiz. 34, 1438 (1958); Sov. Phys.-JETP 7, 996 (1958).
4. A.B. Migdal, Zh. Eksperim. Fiz. 34, 1438 (1958); Sov. Phys.-JETP 7, 996 (1958).
5. W.L. McMillan, Phys. Rev. 167, 331 (1968).
6. J.G. Bednorz, K.A. Müller, Z. Phys. B 64, 1796 (1986).
7. K.A. Müller, G. Benedek, Phase Separations in Cuprate Superconductors (World Scientific Pub., the Science and Culture series, 1993).
8. J.R. Waldram, Superconductivity of Metals and Cuprates (IOP Publishing Ltd, 1996).
9. c Superconductors and related Materials (Cambridge University Press, 1995).
10. L. Landau, Phys. Z. Sowjetunion 3, 664 (1933).
11. A.S. Alexandrov, J. Ranninger, S. Robaszkiewicz, Phys. Rev. B 33, 4526-4552 (1986).
12. D. Emin, T. Holstein, Phys. Rev. Lett. 36, 4526 (1976); D. Emin, Phys. Today (June 1982), pp. 34.
13. D. Emin, T. Holstein, Phys. Rev. Lett. 36, 4526 (1976); D. Emin, Phys. Today (June 1982), pp. 34.
14. B.K. Chakraverty, J. Ranninger, D. Feinberg, Phys. Rev. Lett. 81, 433-436 (1998).
15. S. Aubry, P. Quemerais, in Low Dimensional Electronic Properties of Molybdenum Bronzes and Oxides, edited by C. Schlenker (Kluwer, Academic Publishers Group, 1989), pp. 295-405.
16. S. Aubry, G. Abramovici, J.L. Raimbault, J. Stat. Phys. 67, 675-780 (1992).
17. S. Aubry, J. Phys. France IV 3, C2-349 (1993).
18. S. Aubry in reference [5], 304-334.
19. S. Aubry in reference [7], 271-308.
20. L. Proville, S. Aubry (in preparation).
21. L. Proville, Structures polaroniques et bipolaroniques dans le modèle de Holstein Hubbard adiabatique à deux électrons et ses extensions (Ph.D thesis, University Paris XI, 1998).
22. L. Proville, S. Aubry, Physica D 113, 307-317 (1998).
23. S. Aubry, Physica D 86, 284-296 (1995).
24. G. Kalosakas, S. Aubry, G. Tsironis, Phys. Rev. B 58, 3094-3104 (1998).
25. P.Y. Le Daëron, Transition Metal-Isolant dans les chaines de Peierls (Ph.D thesis, University Paris XI, 1983).
26. J.L. Marin, S. Aubry, Nonlinearity 9, 1501-1528 (1997).
27. C. Baesens, R.S. MacKay, Nonlinearity 7, 59-84 (1994).
28. R.S. MacKay, S. Aubry, Nonlinearity 7, 1623-43 (1994).
29. P.W. Anderson, G. Baskaran, Z. Zou, T. Hsu. Phys. Rev. Lett. 58, 2790-2793 (1987).
30. S. Aubry, T. Cretegny, Physica D 119, 34-46 (1998).
31. T. Cretegny, Ph.D thesis, ENS Lyon, 1998; T. Cretegny, S. Aubry (in preparation).
32. T. Cretegny, Ph.D thesis, ENS Lyon, 1998; T. Cretegny, S. Aubry (in preparation).
33. D. Pines, Physica C 282, 273-278 (1997).
34. C. Baesens, R. MacKay, J. Phys. A: Math. Gen. 31, 10065-10085 (1998).
35. Spectres de vibration et symétrie des cristaux, H. Poulet, J-P. Mathieu, edited by Gordon and Breach (Paris, 1970).