Stability of the Laughlin Phase Against Long-Range Interactions

被引：1

作者：

Olgiati, Alessandro ^{[1
]}

Rougerie, Nicolas ^{[1
]}

机构：

[1] Univ Grenoble Alpes, LPMMC, CNRS, F-38000 Grenoble, France

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2020年 / 237卷 / 03期

基金：

欧洲研究理事会;

关键词：

D O I：

10.1007/s00205-020-01536-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A natural, "perturbative", problem in the modelization of the fractional quantum Hall effect is to minimize a classical energy functional within a variational set based on Laughlin's wave-function. We prove that, for small enough pair interactions, and asymptotically for large particle numbers, a minimizer can always be looked for in the particular form of uncorrelated quasi-holes superimposed to Laughlin's wave-function.

引用

页码：1475 / 1515

页数：41

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