Melting of a Wigner crystal in an ionic dielectric

European Physical Journal B

Volumn 14, Issue 1, 2000, Pages 99-113

  Fratini, S ^a   Quemerais P ^a  

^a LABORATOIRE DE CRISTALLOGRAPHIE   (France)

Author keywords

71.10. w Theories and models of many electron systems; 71.30.+h Metal insulator transitions and other electronic transitions; 71.38.+i Polarons and electron phonon interactions

Indexed keywords

EID: 0042123030     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510050111     Document Type: Article

References (51)

1. A.S. Alexandrov, N.F. Mott, Rep. Prog. Phys. 57, 1197 (1994).
2. G. Mahan, in Polarons in Ionic Crystals and Polar semiconductors, edited by J. Devreese (1972).
3. L.F. Lemmens, J.T. Devreese, F. Brosens, Phys. Stat. Sol. B 82, 439 (1997).
4. G. de Filippis, V. Cataudella, G. Iadonisi, Eur. Phys. J. B 8, 339 (1999); G. Iadonisi, G. Capone, V. Cataudella, G. de Filippis, Phys. Rev. B 53, 13497 (1996).
5. G. de Filippis, V. Cataudella, G. Iadonisi, Eur. Phys. J. B 8, 339 (1999); G. Iadonisi, G. Capone, V. Cataudella, G. de Filippis, Phys. Rev. B 53, 13497 (1996).
6. E. Wigner, Phys. Rev. 46, 1002 (1934).
7. P. Quémerais, Mod. Phys. Lett. B 9, 1665 (1995).
8. A.A. Remova, B.Ya. Shapiro, Physica C 160, 202 (1989).
9. We call "external" any doping charge added to the host material.
10. L.D. Landau, Phys. Z. Sowjetunion 3, 664 (1933).
11. H. Frohlich, Adv. Phys. 3, 325 (1954).
12. V.L. Vinetskii, M.S. Giterman, Soviet. Phys. JETP 6, 1796 (1958); G. Verbist, F.M. Peeters, J.T. Devreese, Phys. Rev. B 43, 2712 (1991); F. Bassani, M. Geddo, G. Iadonisi, D. Ninno, Phys. Rev. B 43, 5296 (1991).
13. V.L. Vinetskii, M.S. Giterman, Soviet. Phys. JETP 6, 1796 (1958); G. Verbist, F.M. Peeters, J.T. Devreese, Phys. Rev. B 43, 2712 (1991); F. Bassani, M. Geddo, G. Iadonisi, D. Ninno, Phys. Rev. B 43, 5296 (1991).
14. V.L. Vinetskii, M.S. Giterman, Soviet. Phys. JETP 6, 1796 (1958); G. Verbist, F.M. Peeters, J.T. Devreese, Phys. Rev. B 43, 2712 (1991); F. Bassani, M. Geddo, G. Iadonisi, D. Ninno, Phys. Rev. B 43, 5296 (1991).
15. G.R. Allcock, Adv. Phys. 5, 412 (1956).
16. N.F. Mott, Philos. Mag. 6, 2897 (1961).
17. P. Quémerais, S. Fratini, Mod. Phys. Lett. B 11, 1303 (1997).
18. S. Fratini, P. Quémerais, Mod. Phys. Lett. B 12, 1003 (1998); P. Quémerais, S. Fratini, Int. Journ. Mod. Phys. B 12, 3131 (1998).
19. S. Fratini, P. Quémerais, Mod. Phys. Lett. B 12, 1003 (1998); P. Quémerais, S. Fratini, Int. Journ. Mod. Phys. B 12, 3131 (1998).
20. S. Fratini, Ph.D. dissertation, Grenoble, 1999 (unpublished).
21. S. Fratini, P. Quémerais (in preparation).
22. R.P. Feynman, Phys. Rev. 97, 660 (1955): R.P. Feynman, A.R. Hibbs, Quantum Mechanics and Path Integrals (Mc Graw-Hill, New York, 1965).
23. R.P. Feynman, Phys. Rev. 97, 660 (1955): R.P. Feynman, A.R. Hibbs, Quantum Mechanics and Path Integrals (Mc Graw-Hill, New York, 1965).
24. P. Nozières, D. Pines, Phys. Rev. 111, 442 (1958).
25. W.J. Carr, Phys. Rev 122, 1437 (1961).
26. int was used instead of α1,α2 for the eigenfrequencies of the two-body model.
27. B. Gerlach, H. Löwen, Rev. Mod. Phys. 63, 63 (1991).
28. E. Kartheuser, Polarons in Ionic Crystals and Polar Semiconductors (North Holland, Amsterdam, 1972), pp. 515-550; D. Emin, Phys. Rev. B 48, 13691 (1993); A.E. Myasnikova, E.N. Myasnikov, Phys. Rev. B 56, 5316 (1997).
29. E. Kartheuser, Polarons in Ionic Crystals and Polar Semiconductors (North Holland, Amsterdam, 1972), pp. 515-550; D. Emin, Phys. Rev. B 48, 13691 (1993); A.E. Myasnikova, E.N. Myasnikov, Phys. Rev. B 56, 5316 (1997).
30. E. Kartheuser, Polarons in Ionic Crystals and Polar Semiconductors (North Holland, Amsterdam, 1972), pp. 515-550; D. Emin, Phys. Rev. B 48, 13691 (1993); A.E. Myasnikova, E.N. Myasnikov, Phys. Rev. B 56, 5316 (1997).
31. C.M. Care, N.B. March, Adv. Phys. 24, 101 (1975).
32. D.M. Ceperley, B.J. Alder, Phys. Rev. Lett. 45, 566 (1980); M.D. Jones, D.M. Ceperley, Phys. Rev. Lett. 76, 4572 (1996).
33. D.M. Ceperley, B.J. Alder, Phys. Rev. Lett. 45, 566 (1980); M.D. Jones, D.M. Ceperley, Phys. Rev. Lett. 76, 4572 (1996).
34. T.D. Schultz, Phys. Rev. 116, 526 (1959).
35. c Superconductivity: 10 years after the discovery (Kluwer, London 1997), p. 243; K.A. Muller, G. Zhao, K. Conder, H. Keller, J. Phys. Cond. Mat. 10, L291 (1998).
36. c Superconductivity: 10 years after the discovery (Kluwer, London 1997), p. 243; K.A. Muller, G. Zhao, K. Conder, H. Keller, J. Phys. Cond. Mat. 10, L291 (1998).
37. c Superconductivity: 10 years after the discovery (Kluwer, London 1997), p. 243; K.A. Muller, G. Zhao, K. Conder, H. Keller, J. Phys. Cond. Mat. 10, L291 (1998).
38. M.A. Krivoglatz, S.I. Pekar, Izv. Acad. Nauk. SSSR 21, 1 (1957); Y. Osaka, Progr. Theor. Phys. 22. 437 (1959); D.P.L. Castrignano et al., Phys. Lett. A 104, 364 (1984).
39. M.A. Krivoglatz, S.I. Pekar, Izv. Acad. Nauk. SSSR 21, 1 (1957); Y. Osaka, Progr. Theor. Phys. 22. 437 (1959); D.P.L. Castrignano et al., Phys. Lett. A 104, 364 (1984).
40. M.A. Krivoglatz, S.I. Pekar, Izv. Acad. Nauk. SSSR 21, 1 (1957); Y. Osaka, Progr. Theor. Phys. 22. 437 (1959); D.P.L. Castrignano et al., Phys. Lett. A 104, 364 (1984).
41. The correct value of δ for classical melting is 0.155, as can be deduced from MC simulations [25].
42. C.Y. Chen et al., Phys. Rev. B. 43, 392 (1991).
43. J. Sak, Phys. Rev. B 6, 3981 (1972).
44. F. Peeters, J.T. Devreese, Phys. Rev. B 36, 4442 (1987).
45. In the limit of vanishing e-ph coupling, the melting density appears to be independent on the dimensionality. This is due to the fact that we have considered the same value of δ = 0.25 both in the 3D and in the 2D case. As a consequence, the critical density estimated in the anisotropic case should be considered as a lower bound.
46. In previous references, the value α* = 4.4 that we referred to as "fully anisotropic", was in fact obtained by taking a small but finite value b ≈ 0.01.
47. C.G. Olson et al., Phys. Rev. B 42, 381 (1990); Y.J. Uemura, Phys. Rev. Lett. 62, 2317 (1989).
48. C.G. Olson et al., Phys. Rev. B 42, 381 (1990); Y.J. Uemura, Phys. Rev. Lett. 62, 2317 (1989).
49. A.J. Leggett, Phys. Rev. Lett. 83, 392 (1999); J. Phys. Chem. Solids 59, 1729 (1998).
50. A.J. Leggett, Phys. Rev. Lett. 83, 392 (1999); J. Phys. Chem. Solids 59, 1729 (1998).
51. S.A. Jackson, P.M. Platzman, Surf. Science 113, 401 (1982).