Comptes Rendus
no. 4
Quantum Hall effect / Effet Hall quantique
Physical principles underlying the quantum Hall effect
[Principes physiques sous-jacents à lʼeffet Hall quantique]
Samuel Bieri1  ; Jürg Fröhlich1
1 ETH Zürich, Institut für Theoretische Physik, Wolfgang-Pauli-Strasse 27, CH-8093 Zürich, Switzerland
Comptes Rendus. Physique, Volume 12 (2011) no. 4, pp. 332-346.

Dans cette contribution nous présentons une introduction aux principes physiques sous-jacents à lʼeffet Hall quantique. Un aperçu de lʼapproche de théorie des champs à lʼeffet fractionnaire et entier est donné. Lʼaccent est mis sur les mécanismes dʼannulation de lʼanomalie de gauge électromagnétique par les degrés de libertés chiraux présents le long du bord de lʼéchantillon. Les applications de ce formalisme à la conception ou à lʼinterprétation théorique dʼexpériences dʼinterférence sont brièvement exposées.

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 located on the edge of the sample. Applications of this formalism to the design and theoretical interpretation of interference experiments are outlined.

Publié le :
DOI : 10.1016/j.crhy.2011.02.001
Keywords: Quantum Hall effect, Low-energy effective theory, Chern–Simons action, Chiral anomaly
Mot clés : Effet Hall quantique, Théorie de champs effective, Action Chern–Simons, Anomalie chirale
Samuel Bieri 1 ; Jürg Fröhlich 1

1 ETH Zürich, Institut für Theoretische Physik, Wolfgang-Pauli-Strasse 27, CH-8093 Zürich, Switzerland 
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Samuel Bieri; Jürg Fröhlich. Physical principles underlying the quantum Hall effect. Comptes Rendus. Physique, Volume 12 (2011) no. 4, pp. 332-346. doi : 10.1016/j.crhy.2011.02.001. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2011.02.001/

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