Statistical mechanics of the strongly-correlated Hubbard chain. I. formulation

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, , Citation T Matsubara and C J Thompson 1991 J. Phys. A: Math. Gen. 24 5327 DOI 10.1088/0305-4470/24/22/017

0305-4470/24/22/5327

Abstract

The authors show with the aid of a canonical transformation that separates charge and spin degrees of freedom that the strongly correlated one-dimensional Hubbard model with infinite (U= infinity ) on-site repulsion is related to a corresponding spinless free-fermion lattice model. Thermodynamic properties of the two models are shown to be closely related whereas the single-particle two-site function for the U= infinity model is shown to be related to a modified many site function for the spinless model which involves many-point correlations. The latter is shown to be expressible in terms of the inverse of a certain matrix which should be amenable to numerical and analytical analysis.

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10.1088/0305-4470/24/22/017