- 99-45 Daniel Ueltschi
- Analyticity in Hubbard models
(106K, LaTeX 2e with 7 PS Figures)
Feb 11, 99
(auto. generated ps),
of related papers
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.