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Renormalization group analysis of electrons near a Van Hove singularity.

arXiv:cond-mat/9502095 · doi:10.1209/epl/i1996-00519-4

Abstract

A model of interacting two dimensional electrons near a Van Hove singularity is studied, using renormalization group techniques. In hole doped systems, the chemical potential is found to be pinned near the singularity, when the electron-electron interactions are repulsive. The RG treatment of the leading divergences appearing in perturbation theory give rise to marginal behavior and anisotropic superconductivity.

4 Latex pages + 5 postcript figures