Fractional Quantum Hall Effect in a Relativistic Field Theory

被引：6
|
作者：
Kaplan, David B. [1 ]
Sen, Srimoyee [2 ]
机构：
[1] Univ Washington, Inst Nucl Theory, Box 351550, Seattle, WA 98195 USA
[2] Iowa State Univ, Dept Phys & Astron, Ames, IA 50011 USA
来源：
PHYSICAL REVIEW LETTERS | 2020年 / 124卷 / 13期
关键词：
CHIRAL FERMIONS; ANOMALIES; INSULATOR; STRINGS; LATTICE; STATES;
D O I：
10.1103/PhysRevLett.124.131601
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We construct a class of 2 + 1 dimensional relativistic quantum field theories which exhibit the fractional quantum Hall effect in the infrared, both in the continuum and on the lattice. The UV completion consists of a perturbative U(1) x U(1) gauge theory with integer-charged fields, while the low energy spectrum consists of nontrivial topological phases supporting fractional currents, bulk anyonic excitations, and exotic phenomena such as a fractional quantum spin Hall effect. We show explicitly how fractionally charged chiral edge states emerge in the IR.
引用
收藏
页数：6
相关论文
共 50 条
12345