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Electrons and Disorder in Solids$
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V. F. Gantmakher

Print publication date: 2005

Print ISBN-13: 9780198567561

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198567561.001.0001

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INTEGER QUANTUM HALL EFFECT

INTEGER QUANTUM HALL EFFECT

Chapter:
(p.156) 9 INTEGER QUANTUM HALL EFFECT
Source:
Electrons and Disorder in Solids
Author(s):

V.F. Gantmakher

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198567561.003.0009

This chapter starts with concepts of metal physics which are necessary for the understanding and description of metal behaviour in high magnetic fields: resistivity tensor, Hall conductivity, static skin-effect, Landau levels, and their broadening by random potential. The main experimental devices — Hall bar and Corbino disk — are described and the basic experimental facts underlying the quantum Hall effect are presented. This is followed by a self-consistent interpretation of this phenomenon. The last sections are dedicated to the phase transitions between different Hall quantum liquids: a review of experimental results is followed by the levels-floating-up model and a flow diagram of the two-parametric scaling approach.

Keywords:   Corbino disk, edge channels, flow diagram, floating up, Hall conductivity, Hall quantum liquid, Hall bar, Landau level, non dissipative current, heterostructure

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