Daniel P. Arovas, Martin Janssen, Boris Shapiro
Published 1997-02-16, updated 1997-02-21Version 3
We study a number of hierarchical network models related to the Chalker-Coddington model of quantum percolation. Our aim is to describe the physics of the quantum Hall transition. The hierarchical network models are constructed by combining series and parallel composition of quantum resistors. The localization-delocalization transition occurring in these models is treated by real space renormalization techniques. Essentially, the localization-delocalization transition is due to a competition between two one-dimensional localization mechanisms.
Comments: 10 pages, REVTeX, 15 figures included, few lines addressing the work of Galstyan and Raikh added to secs.I,VII
Journal: Phys. Rev. B, 56, 4751 (1997)
Finite Size Scaling of the Chalker-Coddington Model
Measurement of the conductance distribution function at a quantum Hall transition
Anomalous criticality in the quantum Hall transition at $n=0$ Landau level of graphene with chiral-symmetric disorders
