Zero-Field Hall Effect in (2+1)-Dimensional QED

Leitner, Marianne (2005) Zero-Field Hall Effect in (2+1)-Dimensional QED. (Preprint)

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In three-dimensional QED, a quantum Hall effect occurs in the absence of any magnetic field. We give a simple and transparent explanation. In solid-state physics, the Hall conductivity for rational magnetic flux is expected to be given by a Chern number. In our field-free situation, however, the conductivity is ±1/2 in natural units. We explain why the integrality of the conductivity breaks down and explain its quantization geometrically. For quasi-periodic boundary conditions, we calculate the finite size correction to the Hall conductivity. Our paper establishes an explicit connection between quantum field theory and solid-state physics.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 13:46
Last Modified: 14 Dec 2022 14:06

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