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

页数：6

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