RENORMALIZATION-GROUP FOR INTERACTING FERMIONS IN D-GREATER-THAN-1

被引：97
|
作者：
SHANKAR, R
机构：
[1] Sloane Physics Laboratory, Yale University, New Haven
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 1991年 / 177卷 / 1-3期
基金：
新加坡国家研究基金会;
关键词：
D O I：
10.1016/0378-4371(91)90197-K
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A renormalization group transformation (RGT) that permits us to analyze the stability of fermionic systems to various perturbations in any number of dimensions is developed. An RGT that leaves invariant the free fermion system (on or off a lattice) is defined and interactions are classified as relevant, irrelevant or marginal. It is shown how the RGT automatically considers competing instabilities simultaneously, in contrast to mean field theory, which focuses on just one. It is shown that a weak coupling only the BCS coupling is relevant for a spherical Fermi surface. Both Landau theory and the Kohn-Luttinger result are viewed in the light of the RG.
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页码：530 / 536
页数：7
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