One Dimensional Continuum Falicov-Kimball Model in the Strongly Correlated Limit
arXiv:cond-mat/9407055 · doi:10.1016/0378-4371(94)90322-0
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.
arXiv comment17 pages, Standard Latex File (UUencoded Postscript file of figures available upon request. To appear in physica A) MELB-MATHS-PP-1096783, email: [email protected]