Single-particle green function of the 1D Hubbard model

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Abstract

For the one-dimensional Hubbard model we extended the bosonization technique, away from half filling, in such a way that a general formula is obtained for the zero temperature equal-time single-particle Green function with validity over the whole doping range. With our method we can calculate, for the first time, the one-body Green function in both the Tomonaga-Luttinger and Luther-Emery universality classes, to characterize the crossover between these two behaviors and thus, to describe the Mott transition. The method also gives a tool to determine the coefficients of the correlation functions which cannot be determined with previously used methods.

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