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High-temperature expansions for the strongly correlated Falicov-Kimball model

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  • Yang, Y.S.
  • Thompson, C.J.
  • Guttmann, A.J.

Abstract

The possibility of a phase transition in the strongly correlated infinite dimensional spinless Falicov-Kimball model, with hopping interaction scaled by D−1/2, is studied using high-temperature expansions. The Gibbs free energy is expanded to order T−10. From Padé and other methods of analysis, we find no evidence of a non-zero phase transition temperature for any value of the particle density. Our results are consistent with previous analytic predictions.

Suggested Citation

  • Yang, Y.S. & Thompson, C.J. & Guttmann, A.J., 1992. "High-temperature expansions for the strongly correlated Falicov-Kimball model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 184(3), pages 587-597.
    • Handle: RePEc:eee:phsmap:v:184:y:1992:i:3:p:587-597
    DOI: 10.1016/0378-4371(92)90324-J
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    1. Kimball, Warren F., 1969. "“Beggar My Neighbor”: America and the British Interim Finance Crisis, 1940–1941," The Journal of Economic History, Cambridge University Press, vol. 29(4), pages 758-772, December.
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    Cited by:

    1. Gottlob, Aloysius P. & Hasenbusch, Martin, 1993. "Critical behaviour of the 3D XY-model: a Monte Carlo study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 201(4), pages 593-613.

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