Ground-state properties of multicomponent Falicov-Kimball-like models I

Janusz Jedrzejewski; Volodymyr Derzhko

doi:10.1016/s0378-4371(02)01326-2

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Ground-state properties of multicomponent Falicov-Kimball-like models I

Janusz Jedrzejewski·Volodymyr Derzhko

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Abstract

We consider a classical lattice gas that consists of more than one "species" of particles (like a spin-3/2 Ising model or the atomic limit of the extended Hubbard model), whose ground-state phase diagram is macroscopically degenerate. This gas is coupled component-wise and in the Falicov-Kimball-like manner to a multicomponent free-fermion gas. We show rigorously that a component-wise coupling of the classical subsystem to the quantum one orders the classical subsystem so that the macroscopic degeneracy is removed.

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Janusz Jedrzejewski, Volodymyr Derzhko. 2003-01-27. Ground-state properties of multicomponent Falicov-Kimball-like models I. https://doi.org/10.1016/s0378-4371(02)01326-2

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