Quantum Hall effect induced by electron-phonon interaction
Strongly Correlated Electrons
2021-05-12 v2 High Energy Physics - Theory
Abstract
When phonons couple to fermions in 2D semimetals, the interaction may turn the system into an insulator. There are several insulating phases in which the time reversal and the sublattice symmetries are spontaneously broken. Examples are many-body states commensurate to Haldane's staggered flux model or to lattice models with periodically modulated strain. We find that the effective field theories of these phases exhibit characteristic Chern-Simons terms, whose coefficients are related to the topological invariants of the microscopic model. This implies that the corresponding quantized Hall conductivities characterize these insulating states.
Cite
@article{arxiv.1908.00442,
title = {Quantum Hall effect induced by electron-phonon interaction},
author = {Andreas Sinner and Klaus Ziegler},
journal= {arXiv preprint arXiv:1908.00442},
year = {2021}
}
Comments
Accepted for publishing with Annals of Physics on April 30th, 2020