Quantum Hall Effect in Quantum Electrodynamics

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.

4 pages, 2 figures, LaTeX, perturbative result corrected

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