arXiv:cond-mat/9407055·v1·cond-mat
One Dimensional Continuum Falicov-Kimball Model in the Strongly Correlated Limit
R. J. Bursill (Department of Physics, University of Sheffield, Sheffield, S3 7RH, UK)
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 it is found that the electrons form a cluster. The effect of including a Takahashi repulsion between particles is also studied where it is found that as the repulsion is increased the ground state 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 Falicov-Kimball model.
Comments: 17 pages, Standard Latex File (UUencoded Postscript file of figures available upon request. To appear in physica A) MELB-MATHS-PP-1096783, email: r.bursill@sheffield.ac.uk