Parquet solution for a flat Fermi surface
Abstract
We study instabilities occurring in the electron system whose Fermi surface has flat regions on its opposite sides. Such a Fermi surface resembles Fermi surfaces of some high- superconductors. In the framework of the parquet approximation, we classify possible instabilities and derive renormalization-group equations that determine the evolution of corresponding susceptibilities with decreasing temperature. Numerical solutions of the parquet equations are found to be in qualitative agreement with a ladder approximation. For the repulsive Hubbard interaction, the antiferromagnetic (spin-density-wave) instability dominates, but when the Fermi surface is not perfectly flat, the -wave superconducting instability takes over.
Cite
@article{arxiv.cond-mat/9609118,
title = {Parquet solution for a flat Fermi surface},
author = {Anatoley T. Zheleznyak and Victor M. Yakovenko and Igor E. Dzyaloshinskii},
journal= {arXiv preprint arXiv:cond-mat/9609118},
year = {2009}
}
Comments
REVTeX, 36 pages, 20 ps figures inserted via psfig. Submitted to Phys. Rev. B