Fermionic systems with charge correlations on the Bethe lattice

Details Fermionic systems with charge correlations on the Bethe lattice Fermionic systems with charge correlations on the Bethe lattice

2007-10-31

arxiv.org/abs/0710.5842v1

Physica C 460-462 (2007) 1053

Physics

Condensed Matter

Strongly Correlated Electrons

2 pages, 4 figures

Scientific paper

10.1016/j.physc.2007.03.213

A fermionic model, built up of q species of localized Fermi particles, interacting by charge correlations, is isomorphic to a spin-q/2 Ising model. However, the equivalence is only formal and the two systems exhibit a different physical behavior. By considering a Bethe lattice with q=1, we have exactly solved the models. There exists a critical temperature below which there is a spontaneous breakdown of the particle-hole symmetry for the first model, and of the spin symmetry for the second. While the spin system is always stable and exhibits a homogeneous ferromagnetic phase below T_{c}, the fermionic system for T

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