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A Jordan-Wigner transformation for the t-J and Hubbard models with holes

S. E. Barnes, S. Maekawa

cond-mat.str-elarXiv:cond-mat/0111204

Abstract

A Jordan-Wigner (JW) transformation for the t-J and Hubbard models is described. Introduced are holon and doublon particles for hole and double occupied sites. There is only a single spin sector particle. Flux tubes occur in a naturel fashion, within a specific gauge, when the method is adapted to two dimensions. In order to accommodate three dimensions ``flux sheets'' are defined. The adaptation of the method to the t-J-model in the context of high Tc is described.

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