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Gauge invariance and the quantised hall effect in two-dimensional systems

  • Hideo Aoki
Quantized Hall Effect
Part of the Lecture Notes in Physics book series (LNP, volume 177)

Abstract

The quantised Hall effect in two-dimensional systems in magnetic fields is studied with an emphasis on the importance of gauge invariance in this phenomenon. Theoretical aspects of the problem is reviewed and new numerical results are presented. It is shown that the quantised Hall current is fundamentally related to gauge transformation in the system, and that the quantised plateau in the Hall conduction is a combined effect of localisation and gauge invariance.

Keywords

Gauge Transformation Gauge Invariance Edge State Extended State Quantise Hall Effect 
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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Hideo Aoki
    • 1
  1. 1.Cavendish LaboratoryUniversity of CambridgeCambridgeEngland

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