Classical analysis of a network model of quantum Hall systems

URN to cite this document:: urn:nbn:de:bvb:355-epub-462632
DOI to cite this document:: 10.5283/epub.46263

Wysokiński, K. I. ; Evers, Ferdinand

; Brenig, W.

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Date of publication of this fulltext: 05 Jul 2021 05:26

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Abstract

A version of a network model of quantum Hall systems is studied classically. We assume that randomness inherent in the problem enters the model via random heights of saddle points only. We use ideas from classical percolation theory to calculate numerically the fractal dimension df, the correlation length exponent ν, the diffusion coefficient D, the corresponding exponent k, and other parameters ...