Physical principles underlying the quantum Hall effect

Details Physical principles underlying the quantum Hall effect Physical principles underlying the quantum Hall effect

2010-06-02

arxiv.org/abs/1006.0457v2

Comptes Rendus Physique 12:332-346,2011

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

20 pages, 8 figures; small corrections, replaced with published version

Scientific paper

10.1016/j.crhy.2011.02.001

In this contribution, we present an introduction to the physical principles underlying the quantum Hall effect. The field theoretic approach to the integral and fractional effect is sketched, with some emphasis on the mechanism of electromagnetic gauge anomaly cancellation by chiral degrees of freedom living on the edge of the sample. Applications of this formalism to the design and theoretical interpretation of interference experiments are outlined.

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