Advertisement

The European Physical Journal B

, Volume 77, Issue 3, pp 393–399 | Cite as

Phase transitions in the spinless Falicov-Kimball model with correlated hopping

  • H. Čenčariková
  • P. FarkašovskýEmail author
Solid State and Materials

Abstract.

The canonical Monte-Carlo is used to study the phase transitions from the low-temperature ordered phase to the high-temperature disordered phase in the two-dimensional half-filled Falicov-Kimball model with correlated hopping. As the low-temperature ordered phase we consider the chessboard phase, the axial striped phase and the segregated phase. It is shown specifically for weak coupling, which is the most interesting regime, that all three phases persist also at finite temperatures (up to the critical temperature τ c ) and that the phase transition at the critical point is of the first order for the chessboard and axial striped phase and of the second order for the segregated phase. In addition, it is found that the critical temperature is reduced with the increasing amplitude of correlated hopping t' in the chessboard phase and it is strongly enhanced by t' in the axial striped and segregated phase.

Keywords

Phase Transition Critical Temperature Thermodynamic Limit Thermal Average Band Case 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    L.M. Falicov, J.C. Kimball, Phys. Rev. Lett. 22, 997 (1969) CrossRefADSGoogle Scholar
  2. 2.
    D.L. Khomskii, Quantum Theory of Solids, edited by I.M. Lifshitz (Mir, Moscow, 1982) Google Scholar
  3. 3.
    T. Portengen, T. Östreich, L.J. Sham, Phys. Rev. Lett. 76, 3384 (1996) CrossRefADSGoogle Scholar
  4. 4.
    C.D. Batista, Phys. Rev. Lett. 89, 166403 (2002) CrossRefADSGoogle Scholar
  5. 5.
    P. Farkašovský, Phys. Rev. B 77, 155130 (2008) CrossRefADSGoogle Scholar
  6. 6.
    J.K. Freericks, L.M. Falicov, Phys. Rev. B. 41, 2163 (1990) CrossRefADSGoogle Scholar
  7. 7.
    Ch. Gruber, D. Ueltschi, J. Jedrzejewski, J. Stat. Phys. 76, 125 (1994) CrossRefADSGoogle Scholar
  8. 8.
    U. Brandt, R. Schmidt, Z. Phys. B 63, 45 (1986) CrossRefADSGoogle Scholar
  9. 9.
    U. Brandt, R. Schmidt, Z. Phys. B 67, 43 (1987) CrossRefMathSciNetADSGoogle Scholar
  10. 10.
    T. Kennedy, E.H. Lieb, Physica A 138, 320 (1986) CrossRefMathSciNetADSGoogle Scholar
  11. 11.
    E.H. Lieb, Physica A 140, 240 (1986) zbMATHCrossRefMathSciNetADSGoogle Scholar
  12. 12.
    Ch. Gruber, J. Iwanski, J. Jedrzejewski, P. Lemberger, Phys. Rev. B 41, 2198 (1994) CrossRefMathSciNetADSGoogle Scholar
  13. 13.
    Ch. Gruber, J. Jedrzejewski, P. Lemberger, J. Stat. Phys. 68, 913 (1992) CrossRefMathSciNetADSGoogle Scholar
  14. 14.
    T. Kennedy, Rev. Math. Phys. 6, 901 (1994) zbMATHCrossRefMathSciNetGoogle Scholar
  15. 15.
    R. Ramirez, L.M. Falicov, J.C. Kimball, Phys. Rev. B. 2, 3383 (1970) CrossRefADSGoogle Scholar
  16. 16.
    U. Brandt, C. Mielsch, Z. Phys. B 75, 365 (1989) CrossRefADSGoogle Scholar
  17. 17.
    U. Brandt, C. Mielsch, Z. Phys. B 79, 295 (1990) CrossRefADSGoogle Scholar
  18. 18.
    U. Brandt, C. Mielsch, Z. Phys. B 82, 37 (1991) CrossRefADSGoogle Scholar
  19. 19.
    see also V. Janiš, Z. Phys. B 83, 227 (1991) CrossRefADSGoogle Scholar
  20. 20.
    P.G.J. van Dongen, D. Vollhardt, Phys. Rev. Lett. 65, 1663 (1992) CrossRefADSGoogle Scholar
  21. 21.
    P.G.J. van Dongen, Phys. Rev. B 45, 2267 (1992) CrossRefADSGoogle Scholar
  22. 22.
    J.K. Freericks, Phys. Rev. B 47, 9263 (1993) CrossRefADSGoogle Scholar
  23. 23.
    J.K. Freericks, Phys. Rev. B 48, 14797 (1993) CrossRefADSGoogle Scholar
  24. 24.
    P. Farkašovský, I. Batko, J. Phys.: Condens. Matter 5, 7131 (1992) CrossRefGoogle Scholar
  25. 25.
    P. Farkašovský, Phys. Rev. B 51, 1507 (1995) CrossRefADSGoogle Scholar
  26. 26.
    P. Farkašovský, Phys. Rev. B 52, R5463 (1995) CrossRefADSGoogle Scholar
  27. 27.
    R. Lyzwa, Physica A 192, 231 (1993) CrossRefADSGoogle Scholar
  28. 28.
    P. Lemberger, J. Phys. A 25, 715 (1992) CrossRefMathSciNetADSGoogle Scholar
  29. 29.
    Ch. Gruber, J.L. Lebowitz, N. Macris, Europhys. Lett. A 21, 389 (1993) CrossRefADSGoogle Scholar
  30. 30.
    Ch. Gruber, J.L. Lebowitz, N. Macris, Phys. Rev. B 48 4312 (1993) Google Scholar
  31. 31.
    J.K. Freericks, E.H. Lieb, D. Ueltschi, Phys. Rev. Lett. 88, 106401 (2002) CrossRefADSGoogle Scholar
  32. 32.
    J.K. Freericks, V. Zlatic, Rev. Mod. Phys. 75, 1333 (2003) CrossRefADSGoogle Scholar
  33. 33.
    R. Lemanski, J.K. Freericks, G. Bannach, J. Stat. Phys. 116, 699 (2004) zbMATHCrossRefADSGoogle Scholar
  34. 34.
    R. Lemanski, J.K. Freericks, G. Bannach, Phys. Rev. Lett. 89, 196403 (2002) CrossRefADSGoogle Scholar
  35. 35.
    J. Wojtkeiwicz, G. Musial, L. Debski, Phys. Stat. Sol. c 3, 199 (2006) CrossRefGoogle Scholar
  36. 36.
    K. Czajka, M.M. Maska, Phys. Stat. Sol b 244, 2427 (2007) CrossRefADSGoogle Scholar
  37. 37.
    M.M. Maska, K. Czajka, Phys. Rev. B 74, 035109 (2006) CrossRefADSGoogle Scholar
  38. 38.
    M. Žonda, P. Farkašovský, H. Čenčariková, Solid State Commun. 149, 45 (2009) CrossRefGoogle Scholar
  39. 39.
    J. Wojtkiewicz, R. Lemanski, Phys. Rev. B 64, 233103 (2001) CrossRefADSGoogle Scholar
  40. 40.
    J. Wojtkiewicz, R. Lemanski, Acta Physica Polonica B 32, 3467 (2001) ADSGoogle Scholar
  41. 41.
    P. Farkašovský, N. Hudáková, J. Phys.: Condens. Matter 14, 499 (2002) CrossRefADSGoogle Scholar
  42. 42.
    H. Čenčariková, P. Farkašovský, Phys. Stat. Sol. b 242, 2061 (2005) CrossRefADSGoogle Scholar
  43. 43.
    M.S. Challa, D.P. Landau, K. Binder, Phys. Rev. B 34, 1841 (1986) CrossRefADSGoogle Scholar
  44. 44.
    H. Čenčariková, P. Farkašovský, Czech. J. Phys. 54, D423 (2004) Google Scholar
  45. 45.
    P. Farkašovský, Phys. Rev. B 54, 11261 (1996) CrossRefADSGoogle Scholar
  46. 46.
    P. Farkašovský, Z. Phys. B 102, 91 (1997) Google Scholar
  47. 47.
    C.A. Macedo, L.G. Azevedo, A.M.C. de Souza, Phys. Rev. B 18, 184441 (2001) CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Institute of Experimental Physics, Slovak Academy of SciencesKošiceSlovakia

Personalised recommendations