The scaling theory of the integer quantum hall effect

The scaling theory of the integer quantum hall effect

A brief review is given of the present understanding of the transitions between integer quantized plateaus of the Hall conductivity in two-dimensional disordered systems in a strong magnetic field. The similarity to continuous thermodynamic phase transitions is emphasized. Results of numerical simul...

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1. Verfasser: Huckestein, Bodo
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Sprache:eng
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Hall Conductivity
Landau Level
Localization Length
Quantum Hall Effect
Strong Magnetic Field
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description A brief review is given of the present understanding of the transitions between integer quantized plateaus of the Hall conductivity in two-dimensional disordered systems in a strong magnetic field. The similarity to continuous thermodynamic phase transitions is emphasized. Results of numerical simulations for non-interacting electrons are presented and compared to experiment. The role of the Coulomb interactions at the integer quantum Hall transitions is studied.
doi_str_mv 10.1007/BFb0106018
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identifier ISSN: 0075-8450
ispartof From Quantum Mechanics to Technology, 2007, p.111-124
issn 0075-8450
1616-6361
language eng
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source Springer Books
subjects Hall Conductivity
Landau Level
Localization Length
Quantum Hall Effect
Strong Magnetic Field
title The scaling theory of the integer quantum hall effect
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