Information about the Integer Quantum Hall Transition Extracted from the Autocorrelation Function of Spectral Determinants
Mesoscale and Nanoscale Physics
2009-10-31 v3
Abstract
The Autocorrelation function of spectral determinants (ASD) is used to probe the sensitivity of a two-dimensional disordered electron gas to the system's size L. For weak magnetic fields ASD is shown to depend only trivially on L, which is a strong indication that all states are localized. From nontrivial dependence of ASD on L for infinite L at a Hall conductance of 1/2 e^2/h we deduce the existence of critical wave functions at this point, as long as the disorder strength does not exceed a critical value.
Cite
@article{arxiv.cond-mat/9809012,
title = {Information about the Integer Quantum Hall Transition Extracted from the Autocorrelation Function of Spectral Determinants},
author = {Stefan Kettemann and Alexei Tsvelik},
journal= {arXiv preprint arXiv:cond-mat/9809012},
year = {2009}
}
Comments
4 pages, one citation corrected