Fermionic systems with charge correlations

Details Fermionic systems with charge correlations Fermionic systems with charge correlations

2005-03-31

arxiv.org/abs/cond-mat/0503741v1

Europhys. Lett. 70, 485 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, to be published in Europhysics Letters

Scientific paper

10.1209/epl/i2005-10016-4

In this paper, we show that a system of localized particles, satisfying the Fermi statistics and subject to finite-range interactions, can be exactly solved in any dimension. In fact, in this case it is always possible to find a finite closed set of eigenoperators of the Hamiltonian. Then, the hierarchy of the equations of motion for the Green's functions eventually closes and exact expressions for them are obtained in terms of a finite number of parameters. For example, the method is applied to the two-state model (equivalent to the spin-1/2 Ising model) and to the three-state model (equivalent to the extended Hubbard model in the ionic limit or to the spin-1 Ising model). The models are exactly solved for any dimension d of the lattice. The parameters are self-consistently determined in the case of d=1.

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