Tunneling and Universality in the Integer Quantum Hall Effect

Details Tunneling and Universality in the Integer Quantum Hall Effect Tunneling and Universality in the Integer Quantum Hall Effect

1997-06-06

arxiv.org/abs/cond-mat/9706066v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, LaTeX, 4 figures, Postscript

Scientific paper

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.

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