Weak Coupling Phase Diagram of the Two Chain Hubbard Model

Leon Balents; Matthew P. A. Fisher

doi:10.1103/physrevb.53.12133

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arXiv · cond-mat/9503045

Weak Coupling Phase Diagram of the Two Chain Hubbard Model

Leon Balents·Matthew P. A. Fisher

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Abstract

We present a general method for determining the phase diagram of systems of a finite number of one dimensional Hubbard--like systems coupled by single--particle hopping with weak interactions. The technique is illustrated by detailed calculations for the two--chain Hubbard model, providing the first controlled results for arbitrary doping and inter-chain hopping. Of nine possible states which could occur in such a spin--$1/2$ ladder, we find seven at weak coupling. We discuss the conditions under which the model can be regarded as a one--dimensional analog of a superconductor.

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Leon Balents, Matthew P. A. Fisher. 1995-03-09. Weak Coupling Phase Diagram of the Two Chain Hubbard Model. https://doi.org/10.1103/physrevb.53.12133

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