Multiple Landau level filling for a large magnetic field limit of 2D fermions

Author:

Périce Denis1ORCID

Affiliation:

1. Unité de mathématiques pures et appliquées, École normale supérieure de lyon , Lyon, France

Abstract

Motivated by the quantum hall effect, we study N two dimensional interacting fermions in a large magnetic field limit. We work in a bounded domain, ensuring finite degeneracy of the Landau levels. In our regime, several levels are fully filled and inert: the density in these levels is constant. We derive a limiting mean-field and semi classical description of the physics in the last, partially filled Landau level.

Funder

European Research Council

Publisher

AIP Publishing

Reference24 articles.

1. Ground states of large quantum dots in magnetic fields;Phys. Rev. B,1995

2. E. H. Lieb J.-P. Solovej , and J.Yngvason “Quantum dots,” arXiv:cond-mat/9404099 (1994).

3. Asymptotics of heavy atoms in high magnetic fields: I. Lowest Landau band regions;Commun. Pure Appl. Math.,1994

4. Asymptotics of heavy atoms in high magnetic fields: II. Semiclassical regions;Commun. Math. Phys.,1994

5. Heavy atoms in the strong magnetic field of a neutron star;Phys. Rev. Lett.,1992

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3