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

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  • Jȩdrzejewski, Janusz
  • Derzhko, Volodymyr

Abstract

We consider a classical lattice gas that consists of more than one “species” of particles (like a spin-32 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.

Suggested Citation

  • Jȩdrzejewski, Janusz & Derzhko, Volodymyr, 2003. "Ground-state properties of multicomponent Falicov–Kimball-like models I," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 317(1), pages 227-238.
    • Handle: RePEc:eee:phsmap:v:317:y:2003:i:1:p:227-238
    DOI: 10.1016/S0378-4371(02)01326-2
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    References listed on IDEAS

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    1. Kennedy, Tom & Lieb, Elliott H., 1986. "An itinerant electron model with crystalline or magnetic long range order," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 138(1), pages 320-358.
    2. Lieb, Elliott H., 1986. "A model for crystallization: A variation on the Hubbard model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(1), pages 240-250.
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