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d-wave superconductivity and Pomeranchuk instability in the two-dimensional Hubbard model

arXiv:cond-mat/0003349 · doi:10.1103/PhysRevLett.85.5162

Abstract

We present a systematic stability analysis for the two-dimensional Hubbard model, which is based on a new renormalization group method for interacting Fermi systems. The flow of effective interactions and susceptibilities confirms the expected existence of a d-wave pairing instability driven by antiferromagnetic spin fluctuations. More unexpectedly, we find that strong forward scattering interactions develop which may lead to a Pomeranchuk instability breaking the tetragonal symmetry of the Fermi surface.

4 pages (RevTeX), 4 eps figures