Quantum Hall Effect in Quantum Electrodynamics

TL;DR

This paper predicts a deviation in the quantum Hall effect within quantum electrodynamics caused by radiative antiscreening, suggesting a possible experimental observation of a magnetic field-dependent von Klitzing constant.

Contribution

It introduces a quantum electrodynamics-based analysis of the quantum Hall effect, revealing a new magnetic field dependence of the Hall conductivity not accounted for in traditional quantum mechanics.

Findings

Deviation from standard quantum Hall predictions due to radiative effects

A weak, universal magnetic field dependence of the von Klitzing constant

Potential for experimental detection of the predicted effect

Abstract

We consider the quantum Hall effect in quantum electrodynamics and find a deviation from the quantum mechanical prediction for the Hall conductivity due to radiative antiscreening of electric charge in an external magnetic field. A weak universal dependence of the von Klitzing constant on the magnetic field strength, which can possibly be observed in a dedicated experiment, is predicted.