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Analyticity in Hubbard models | Daniel Ueltschi
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23 Oct 1998 | Subject: | Statistical Mechanics; Strongly Correlated Electrons | cond-mat.stat-mech cond-mat.str-el | Abstract: | The Hubbard model describes a lattice system of quantum particles with local (on-site) interactions. Its free energy is analytic when eta t is small, or eta t^2/U is small; here, eta 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 eta ||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. | Source: | arXiv, cond-mat/9810320 | Services: | Forum | Review | PDF | Favorites |
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