N-chain Hubbard model in weak coupling

Article

关键词: VALENCE-BOND STATE;    T-J LADDERS;    RENORMALIZATION-GROUP;    PHASE-DIAGRAM;    LUTTINGER LIQUIDS;    HEISENBERG-CHAINS;    2-LEG LADDERS;    SPIN GAP;    SUPERCONDUCTIVITY;    FERMIONS;   

DOI  :  10.1103/PhysRevB.56.6569

来源: SCIE

【 摘 要 】

We present a systematic weak-coupling renormalization group (RG) technique for studying a collection of N coupled one-dimensional interacting electron systems, focusing on the example of N-leg Hubbard ladders. For N=2,3, we recover previous results, and find that also more generally broad regions of the phase space of these models are unstable to pairing, usually with approximate d-wave symmetry. We show how these instabilities can be understood in terms of a fairly conventional ''gap'' function Delta at the discretized Fermi surface, and describe how this function is calculated. The dimensional crossovers as N-->infinity and as many such ladders are weakly coupled together are also discussed.

【 授权许可】

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