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

Robert James Bursill

Physica A: Statistical Mechanics and its Applications, 1994, vol. 206, issue 3, 521-543

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.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:206:y:1994:i:3:p:521-543

DOI: 10.1016/0378-4371(94)90322-0

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