Weak Coupling Phase Diagram of the Two Chain Hubbard Model

Details Weak Coupling Phase Diagram of the Two Chain Hubbard Model Weak Coupling Phase Diagram of the Two Chain Hubbard Model

1995-03-09

arxiv.org/abs/cond-mat/9503045v1

Physics

Condensed Matter

5 pages, self-unpacking uuencoded compressed postscript file. Also available on the WWW at http://rheims.itp.ucsb.edu/~balents

Scientific paper

10.1103/PhysRevB.53.12133

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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