Hierarchical network models for the quantum Hall effect

We study hierarchical network models for the integer quantum Hall effect. The renormalization flow of the conductance distribution, the critical exponent of the localization length and the multifractal exponents of critical eigenstates are determined. The hierarchical models display the qualitative...

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Bibliographic Details
Published inPhysica. B, Condensed matter Vol. 256-258; pp. 65 - 68
Main Authors Janssen, Martin, Merkt, Rainer, Meyer, Julia, Weymer, Andreas
Format Journal Article
LanguageEnglish
Published Elsevier B.V 02.12.1998
Subjects
Mesoscopic systems
Multifractality
Quantum Hall effect
Renormalization group
Quantum Hall effect
Multifractality
Mesoscopic systems
Renormalization group
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Summary:We study hierarchical network models for the integer quantum Hall effect. The renormalization flow of the conductance distribution, the critical exponent of the localization length and the multifractal exponents of critical eigenstates are determined. The hierarchical models display the qualitative physics responsible for the quantum Hall effect and allow, in principle, for an accurate determination of critical exponents.
ISSN:0921-4526
1873-2135
DOI:10.1016/S0921-4526(98)00668-1