# Analyticity in Hubbard Models

@article{Ueltschi1999AnalyticityIH, title={Analyticity in Hubbard Models}, author={Daniel Ueltschi}, journal={Journal of Statistical Physics}, year={1999}, volume={95}, pages={693-717} }

The Hubbard model describes a lattice system of quantum particles with local (on-site) interactions. Its free energy is analytic when βt is small, or βt2/U is small; here, β 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 β ‖T‖ is small, irrespective of V. There exists a unique Gibbs state showing exponential decay of spatial correlations. These… CONTINUE READING

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