Analyticity in Hubbard models

Details Analyticity in Hubbard models Analyticity in Hubbard models

1998-10-23

arxiv.org/abs/cond-mat/9810320v2

Physics

Condensed Matter

Statistical Mechanics

16 pages, LaTeX 2e, 7 figures. To appear in J. Stat. Phys. 95 (May 1999)

Scientific paper

The Hubbard model describes a lattice system of quantum particles with local (on-site) interactions. Its free energy is analytic when \beta t is small, or \beta t^2/U is small; here, \beta is the inverse temperature, U the on-site repulsion and t the hopping coefficient. For more general models with Hamiltonian H = V + T where V involves local terms only, the free energy is analytic when \beta ||T|| is small, irrespectively of V. The Gibbs state exists in the thermodynamic limit, is exponentially clustering and thermodynamically stable. These properties are rigorously established in this paper.

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