Exact exponents for the spin quantum Hall transition
Mesoscale and Nanoscale Physics
2009-01-23 v1 Disordered Systems and Neural Networks
Superconductivity
High Energy Physics - Theory
Abstract
We consider the spin quantum Hall transition which may occur in disordered superconductors with unbroken SU(2) spin-rotation symmetry but broken time-reversal symmetry. Using supersymmetry, we map a model for this transition onto the two-dimensional percolation problem. The anisotropic limit is an sl(2|1) supersymmetric spin chain. The mapping gives exact values for critical exponents associated with disorder-averages of several observables in good agreement with recent numerical results.
Keywords
Cite
@article{arxiv.cond-mat/9902063,
title = {Exact exponents for the spin quantum Hall transition},
author = {Ilya A. Gruzberg and Andreas W. W. Ludwig and N. Read},
journal= {arXiv preprint arXiv:cond-mat/9902063},
year = {2009}
}
Comments
5 pages, 2 figures