Real Space Renormalization of the Chalker-Coddington Model

Details Real Space Renormalization of the Chalker-Coddington Model Real Space Renormalization of the Chalker-Coddington Model

1997-02-16

arxiv.org/abs/cond-mat/9702146v3

Phys. Rev. B, 56, 4751 (1997)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, REVTeX, 15 figures included, few lines addressing the work of Galstyan and Raikh added to secs.I,VII

Scientific paper

10.1103/PhysRevB.56.4751

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.

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