Higher period ordered phases on the Bethe lattice

Physical Review B - Condensed Matter and Materials Physics

Volumn 63, Issue 16, 2001, Pages

  Gruber, Ch ^a   Macris, N ^a   Royer, Ph ^a   Freericks, J K ^b  

^a EPFL   (Switzerland)

^b GEORGETOWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; MATHEMATICAL ANALYSIS; MODEL; PHASE TRANSITION; QUANTUM MECHANICS; TEMPERATURE; THERMODYNAMICS;

EID: 0034885709     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.63.165111     Document Type: Article

References (29)

1. W. Metzner and D. Vollhardt, Phys. Rev. Lett. 62, 324 (1989).
2. A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996).
3. L. M. Falicov and J. C. Kimball, Phys. Rev. Lett. 22, 997 (1969);
4. R. Ramirez, L. M. Falicov, and J. C. Kimball, Phys. Rev. B 2, 3383 (1970).
5. D. I. Khomskii, Usp. Fiz. Nauk. 129, 443 (1979) [Sov. Phys. Usp. 22, 879 (1979)];
6. D. I. Khomskii, in Quantum Theory of Solids, edited by I. M. Lifshits (Mir, Moscow, 1982).
7. A. Sakurai and P. Schottman, Solid State Commun. 27, 991 (1971).
8. T. Kennedy and E. H. Lieb, Physica A 138, 320 (1986).
9. N. Macris and Ch. Gruber, Helv. Phys. Acta 69, 850 (1996);
10. K. Michielsen, Int. J. Mod. Phys. B 7, 2571 (1993).
11. P. Lemberger, J. Phys. A 25, 715 (1992).
12. Ch. Gruber, D. Ueltschi, and J. Jedrzejewski, J. Stat. Phys. 76, 125 (1994).
13. Ch. Gruber, N. Macris, A. Messager, and D. Uetschi, J. Stat. Phys. 86, 57 (1997).
14. J. K. Freericks and L. M. Falicov, Phys. Rev. B 41, 2163 (1990).
15. J. K. Freericks, Ch. Gruber, and N. Macris, Phys. Rev. B 53, 16 189 (1996).
16. M. Barma and V. Subrahmanyan, Phase Transitions 16, 307 (1996).
17. Ch. Gruber, J. Jedrzejewski, and P. Lemberger, J. Stat. Phys. 66, 913 (1996).
18. T. Kennedy, Rev. Math. Phys. 6, 901 (1994).
19. T. Kennedy, J. Stat. Phys. 91, 829 (1998).
20. G. I. Watson, Physica A 246, 253 (1997).
21. U. Brandt and C. Mielsch, Z. Phys. B: Condens. Matter 75, 365 (1989);
22. Z. Phys. B: Condens. MatterU. BrandtC. Mielsch79, 295 (1990);
23. Z. Phys. B: Condens. MatterU. BrandtC. Mielsch82, 37 (1991).
24. J. K. Freericks, Phys. Rev. B 47, 9263 (1993).
25. J. K. Freericks, Ch. Gruber, and N. Macris, Phys. Rev. B 60, 1617 (1999).
26. J. K. Freericks and R. Lemanski, Phys. Rev. B 61, 13 438 (2000).
27. P. G. J. Van Dongen and C. Leinung, Ann. Phys. (Leipzig) 6, 45 (1997).
28. P. G. J. Van Dongen, Phys. Rev. B 45, 2267 (1992).
29. W. Chung and J. K. Freericks, Phys. Rev. B 57, 11 955 (1998)