Boundary multifractality at the integer quantum Hall plateau transition: implications for the critical theory
Mesoscale and Nanoscale Physics
2008-12-18 v2 Statistical Mechanics
Abstract
We study multifractal spectra of critical wave functions at the integer quantum Hall plateau transition using the Chalker-Coddington network model. Our numerical results provide important new constraints which any critical theory for the transition will have to satisfy. We find a non-parabolic multifractal spectrum and we further determine the ratio of boundary to bulk multifractal exponents. Our results rule out an exactly parabolic spectrum that has been the centerpiece in a number of proposals for critical field theories of the transition. In addition, we demonstrate analytically exact parabolicity of related boundary spectra in the 2D chiral orthogonal `Gade-Wegner' symmetry class.
Cite
@article{arxiv.0804.2409,
title = {Boundary multifractality at the integer quantum Hall plateau transition: implications for the critical theory},
author = {H. Obuse and A. R. Subramaniam and A. Furusaki and I. A. Gruzberg and A. W. W. Ludwig},
journal= {arXiv preprint arXiv:0804.2409},
year = {2008}
}
Comments
4 pages, 3 figures, v2, published version