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Physical principles underlying the quantum Hall effect

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arxiv 1006.0457 v2 pith:PKCAXNTP submitted 2010-06-02 cond-mat.mes-hall cond-mat.str-el

Samuel Bieri , Juerg Froehlich This is my paper
classification cond-mat.mes-hallcond-mat.str-el
keywords effecthallphysicalprinciplesquantumunderlyinganomalyapplications
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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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  1. Notes from the bulk

    hep-th 2025-07 conditional novelty 4.0 of 10

    A boundary-QFT analysis shows that curved bulk metrics create local edge velocities in topological models and that fracton and linearized-gravity theories carry Kac-Moody boundary algebras.

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