Hierarchical network models for the quantum Hall effect

Authors
Janssen, M Merkt, R Meyer, J Weymer, A
Citation
M. Janssen et al., Hierarchical network models for the quantum Hall effect, PHYSICA B, 258, 1998, pp. 65-68
Citations number
8
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
PHYSICA B
ISSN journal
09214526 → ACNP
Volume
258
Year of publication
1998
Pages
65 - 68
Database
ISI
SICI code
0921-4526(199812)258:<65:HNMFTQ>2.0.ZU;2-K
Abstract
We study hierarchical network models for the integer quantum Hall effect. T he renormalization flow of the conductance distribution, the critical expon ent of the localization length and the multifractal exponents of critical e igenstates are determined. The hierarchical models display the qualitative physics responsible for the quantum Hall effect and allow, in principle, fo r an accurate determination of critical exponents. (C) 1998 Elsevier Scienc e B.V. All rights reserved.