Renormalization group for 2D fermions with a flat Fermi surface
摘要
We present a renormalization group analysis of two-dimensional interacting fermion systems with a closed and partially flat Fermi surface. Numerical solutions of the one-loop flow equations show that for a bare local repulsion, the system evolves through three different regimes as the typical energy is lowered: a high-energy transient with a strong competition between particle-particle and particle-hole channels, an intermediate regime with dominant spin density wave correlations, and finally a ``hot spot'' regime exhibiting d-wave superconductivity. We study, mostly by analytical methods, how this flow pattern depends on the number N of Fermi surface patches used in the numerical solution. This clearly indicates that the final regime requires vanishingly small microscopic interactions, for the one-loop approximation to be valid, as N is going to infinity.
引用
@article{arxiv.cond-mat/0107548,
title = {Renormalization group for 2D fermions with a flat Fermi surface},
author = {S. Dusuel and F. Vistulo de Abreu and B. Doucot},
journal= {arXiv preprint arXiv:cond-mat/0107548},
year = {2009}
}
备注
34 pages, 28 figures, 8 tables