Fractional quantum Hall effect in a relativistic field theory
High Energy Physics - Theory
2020-04-08 v1 Strongly Correlated Electrons
High Energy Physics - Lattice
Abstract
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 gauge theory with only integer-charged fields, while the low energy spectrum consists of nontrivial topological phases supporting fractional currents, fractionally charged chiral surface modes and bulk anyonic excitations. Exotic phenomena such as a Fractional Quantum Spin Hall Effect can arise in such models.
Cite
@article{arxiv.1911.11292,
title = {Fractional quantum Hall effect in a relativistic field theory},
author = {David B. Kaplan and Srimoyee Sen},
journal= {arXiv preprint arXiv:1911.11292},
year = {2020}
}