Tunneling and Universality in the Integer Quantum Hall Effect
Mesoscale and Nanoscale Physics
2008-02-03 v1
Abstract
We show analytically and numerically that omission of quantum interference from the Chalker-Coddington model of the integer quantum Hall effect gives a localization length exponent nu=4/3 as in ordinary two-dimensional percolation. Thus, contrary to semi-classical scaling arguments, tunneling alone does not lead to nu=7/3.
Keywords
Cite
@article{arxiv.cond-mat/9706066,
title = {Tunneling and Universality in the Integer Quantum Hall Effect},
author = {Alex Hansen and Janos Kertesz},
journal= {arXiv preprint arXiv:cond-mat/9706066},
year = {2008}
}
Comments
4 pages, LaTeX, 4 figures, Postscript