Universality in low-dimensional BCS theory

被引：4

作者：

Henheik, Joscha ^{[1
]}

Lauritsen, Asbjorn Baekgaard ^{[1
]}

Roos, Barbara ^{[1
]}

机构：

[1] IST Austria, Campus 1, A-3400 Klosterneuburg, Austria

来源：

REVIEWS IN MATHEMATICAL PHYSICS | 2024年 / 36卷 / 09期

基金：

奥地利科学基金会;

关键词：

BCS theory; energy gap; critical temperature; BCS universality; MICROSCOPIC DERIVATION; CRITICAL-TEMPERATURE; CONDENSATION; OPERATORS; WEAK;

D O I：

10.1142/S0129055X2360005X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is a remarkable property of BCS theory that the ratio of the energy gap at zero temperature Xi and the critical temperature T-c is (approximately) given by a universal constant, independent of the microscopic details of the fermionic interaction. This universality has rigorously been proven quite recently in three spatial dimensions and three different limiting regimes: weak coupling, low density and high density. The goal of this short note is to extend the universal behavior to lower dimensions d = 1, 2 and give an exemplary proof in the weak coupling limit.

引用

页数：21

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