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One dimensional continuum Falicov-Kimball model in the strongly correlated limit

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  • Bursill, Robert James

Abstract

In this paper we study the thermodynamics of the one dimensional continuum analogue of the Falicov-Kimball model in the strongly correlated limit using a method developed by Salsburg, Zwanzig and Kirkwood for the Takahashi gas. In the ground state is found that the f electrons form a cluster. The effect of including a Takahashi repulsion between f particles is also studied where it is found that as the repulsion is increased the ground state f electron configuration changes discontinuously from the clustered configuration to a homogeneous or equal spaced configuration analogous to the checkerboard configuration which arises in the lattice Falikov-Kimball model.

Suggested Citation

  • Bursill, Robert James, 1994. "One dimensional continuum Falicov-Kimball model in the strongly correlated limit," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(3), pages 521-543.
    • Handle: RePEc:eee:phsmap:v:206:y:1994:i:3:p:521-543
    DOI: 10.1016/0378-4371(94)90322-0
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    References listed on IDEAS

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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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