Physical principles underlying the quantum Hall effect
arXiv:1006.0457 · doi:10.1016/j.crhy.2011.02.001
Abstract
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.
20 pages, 8 figures; small corrections, replaced with published version
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- Tunnelling current through fractional quantum Hall interferometers
- Effective field theory and tunneling currents in the fractional quantum Hall effect
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- Quantum Hall conductivity in the presence of interactions
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