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

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## Abstract

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 |
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Divisions: | School of Theoretical Physics > Preprints |

Date Deposited: | 19 Jun 2018 13:46 |

Last Modified: | 14 Dec 2022 14:06 |

URI: | https://dair.dias.ie/id/eprint/479 |

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