Theory of the fractional quantum Hall effect in Weyl semimetals

被引：19
|
作者：
Thakurathi, Manisha [1 ]
Burkov, A. A. [1 ]
机构：
[1] Univ Waterloo, Dept Phys & Astron, Waterloo, ON N2L 3G1, Canada
来源：
PHYSICAL REVIEW B | 2020年 / 101卷 / 23期
基金：
美国国家科学基金会; 加拿大自然科学与工程研究理事会;
关键词：
STATES;
D O I：
10.1103/PhysRevB.101.235168
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We develop a hydrodynamic field theory of the three-dimensional fractional quantum Hall effect, which was recently proposed to exist in magnetic Weyl semimetals, when the Weyl nodes are gapped by strong repulsive interactions. This theory takes the form of a BF theory, which contains both one-form and two-form gauge fields, coupling to quasiparticle and loop excitations, respectively. It may be regarded as a generalization of the Chern-Simons theory of two-dimensional fractional quantum Hall liquids to three dimensions.
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收藏
页数：7
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