Quantum Valley Hall Effect in Massive Dirac Systems Coupled to a Scalar Field
Strongly Correlated Electrons
2017-02-10 v1
Abstract
We use Pseudo Quantum Electrodynamics to study massive (2+1)D Dirac systems interacting electromagnetically via a U(1) gauge field in (3+1)D. It was recently found in Ref. [1], that an interaction-induced Quantum Hall Effect (QHE) and Quantum Valley Hall Effect (QVHE) occur in these systems, when considering a two-component fermion representation. Here, we study the corrections to these effects when coupling the fermions to a (2+1)D massive scalar field via a quartic interaction. We find no correction to the QHE and a non-universal correction to the QVHE, which depends on the ratio of the fermion and scalar-field masses.
Keywords
Cite
@article{arxiv.1702.02812,
title = {Quantum Valley Hall Effect in Massive Dirac Systems Coupled to a Scalar Field},
author = {S. H. Kooi and N. Menezes and Van Sérgio Alves and C. Morais Smith},
journal= {arXiv preprint arXiv:1702.02812},
year = {2017}
}
Comments
7 pages, 1 figure