Thermodynamics of the two-dimensional Falicov-Kimball model: A classical Monte Carlo study

Physical Review B - Condensed Matter and Materials Physics

Volumn 74, Issue 3, 2006, Pages

  Maška, Maciej M ^a   Czajka, Katarzyna ^a  

^a UNIVERSITY OF SILESIA   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746216404     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.74.035109     Document Type: Article

References (57)

1. J. Hubbard, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 276, 238 (1963);
2. J. Hubbard, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 281, 401 (1964).
3. J. G. Bednorz and K. A. Müller, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01303701 64, 188 (1986).
4. P. W. Anderson, Science SCIEAS 0036-8075 10.1016/S0921-4534(97)00266-9 235, 1196 (1987).
5. E. H. Lieb and F. Y. Wu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.20.1445 20, 1445 (1968).
6. Y. Nagaoka, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.147.392 147, 392 (1966).
7. A. Georges and G. Kotliar, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.6479 45, 6479 (1992).
8. M. Jarrell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.168 69, 168 (1992).
9. L. M. Falicov and J. C. Kimball, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.22.997 22, 997 (1969).
10. T. Kennedy and E. H. Lieb, Physica A PHYADX 0378-4371 10.1016/0378-4371(86)90188-3 138, 320 (1986).
11. E. H. Lieb, Physica A PHYADX 0378-4371 10.1016/0378-4371(86)90228-1 140, 240 (1986).
12. J. K. Freericks and R. Lemański, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.13438 61, 13438 (2000).
13. J. K. Freericks, E. H. Lieb, and D. Ueltschi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.106401 88, 106401 (2002).
14. B. M. Letfulov and J. K. Freericks, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.033102 66, 033102 (2002).
15. P. Farkašovský, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.10776 60, 10776 (2000).
16. J. K. Freericks, Ch. Gruber, and N. Macris, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.1617 60, 1617 (1999);
17. J. K. Freericks, Ch. Gruber, and N. Macris, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.16189 53, 16189 (1996).
18. R. Lemański, J. K. Freericks, and G. Banach, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.196403 89, 196403 (2002).
19. R. Lemanski, J. K. Freericks, and G. Banach, J. Stat. Phys. JSTPBS 0022-4715 10.1023/B:JOSS.0000037213.25834.33 116, 699 (2004).
20. K. Haller and T. Kennedy, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1026504524149 102, 15 (2001).
21. G. I. Watson and R. Lemański, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/7/49/016 7, 9521 (1995).
22. P. de Vries, K. Michielson, and H. De Raedt, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01308754 92, 353 (1993).
23. J. K. Freericks and L. M. Falicov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.41.2163 41, 2163 (1990).
24. J. K. Freericks, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.47.9263 47, 9263 (1993).
25. Ch. Gruber, D. Ueltschi, and J. Jdrzejewski, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02188658 76, 125 (1994).
26. R. Łyzwa, Physica A PHYADX 0378-4371 10.1016/0378-4371(93)90153-U 192, 231 (1993).
27. U. Brandt and C. Mielsch, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01321824 75, 365 (1989);
28. U. Brandt and C. Mielsch, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01406598 79, 295 (1990);
29. U. Brandt and C. Mielsch, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01313984 82, 37 (1991).
30. P. G. J. van Dongen and D. Vollhardt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.1663 65, 1663 (1990).
31. W. Metzner and D. Vollhardt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.324 62, 324 (1989).
32. M. H. Hettler, A. N. Tahvildar-Zadeh, M. Jarrell, T. Pruschke, and H. R. Krishnamurthy, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.R7475 58, R7475 (1998).
33. M. H. Hettler, M. Mukherjee, M. Jarrell, and H. R. Krishnamurthy, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.12739 61, 12739 (2000).
34. P. Farkašovský, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 102, 91 (1997).
35. M. M. Maška and K. Czajka, Phys. Status Solidi B PSSBBD 0370-1972 10.1002/pssb.200460067 242, 479 (2005).
36. K. Czajka and M. M. Maška, Physica B PHYBE3 0921-4526 378-380, 275 (2006).
37. M. M. Maška and K. Czajka, Physica B PHYBE3 0921-4526 359-361, 693 (2005).
38. N. Metropolis, A. Rosenbluth, M. Rosenbluth, A. Teller, and E. Teller, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1699114 21, 1087 (1953).
39. A similar approximation has been used, e. q., J. Schliemann, J. König, and A. H. MacDonald, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.165201 64, 165201 (2001).
40. K. Binder and D. W Heermann, Monte Carlo Simulation in Statistical Physics: An Introduction (Springer, Heidelberg) 2002);
41. D. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics (Cambridge University Press, Cambridge, 2005).
42. Ling Chen, J. K. Freericks, and B. A. Jones Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.153102 68, 153102 (2003).
43. M. S. S. Challa, D. P. Landau, and K. Binder, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.34.1841 34, 1841 (1986).
44. P. G. J. van Dongen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45. 2267 45, 2267 (1992).
45. J. Wojtkiewicz, cond-mat/0310043 (unpublished).
46. D. P. Landau, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.21.1285 21, 1285 (1980).
47. D. P. Landau and K. Binder, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.31.5946 31, 5946 (1985).
48. J. L. Morán-López, F. Aguilera-Granja, and J. M. Sanchez, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.3519 48, 3519 (1993).
49. N. F. Mott, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.40.677 40, 677 (1968);
50. Metal Insulator Transitions (Taylor & Francis, London, 1974).
51. G. Grüner, Density Waves in Solids (Addison-Wesley, Reading, MA, 1994).
52. A. E. Carlsson and P. A. Fedders, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.34.3567 34, 3567 (1986);
53. P. Dean, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.44.127 44, 127 (1972).
54. J. K. Freericks, V. M. Turkowski, and V. Zlatić, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.115111 71, 115111 (2005).
55. V. M. Turkowski and J. K. Freericks, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.075108 73, 075108 (2006)
56. V. M. Turkowski and J. K. Freericks, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.209902 73, 209902 (2006).
57. S. R. White, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.44.4670 44, 4670 (1991).