99-45 Daniel Ueltschi

Analyticity in Hubbard models (106K, LaTeX 2e with 7 PS Figures) Feb 11, 99

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Abstract. 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. There exists a unique Gibbs state showing exponential decay of spatial correlations. These properties are rigorously established in this paper.

Files: 99-45.src( 99-45.comments , 99-45.keywords , U.tex , BHphd.ps , figloops.ps , phd1.ps , phd2.ps , phd3.ps , phdBH.ps , phdhub.ps )