Stability of Insulating Phases in the Hubbard Model: a Cluster Expansion
Abstract
The stability of the insulating regime of the Hubbard model on a d-dimensional lattice, which is characterized by an exponential decay of the Green's functions, is investigated in terms of a cluster expansion. This expansion for the Green's function is organized in terms of connected clustered transfer matrices. An upper bound for the expansion terms is derived for the hopping rate t depending on the coupling constant U as t<U/4d. This implies an upper bound for the decay length of the Green's function.
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