Geometric response of quantum Hall states to electric fields
Mesoscale and Nanoscale Physics
2021-04-14 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
Exploiting novel aspects of the quantum geometry of charged particles in a magnetic field via gauge-invariant variables, we provide tangible connections between the response of quantum Hall fluids to non-uniform electric fields and the characteristic geometry of electronic motion in the presence of magnetic and electric fields. The geometric picture we provide motivates the following conjecture: non-uniform electric fields mimic the presence of spatial curvature. Consequently, the gravitational coupling constant also appears in the charge response to non-uniform electric fields.
Keywords
Cite
@article{arxiv.1812.04000,
title = {Geometric response of quantum Hall states to electric fields},
author = {YingKang Chen and Guodong Jiang and Rudro R. Biswas},
journal= {arXiv preprint arXiv:1812.04000},
year = {2021}
}