English

Current Carrying States in a Random Magnetic Field

Mesoscale and Nanoscale Physics 2009-10-28 v1

Abstract

We report results of a numerical study of noninteracting electrons moving in two dimensions, in the presence of a random potential and a random magnetic field for a sequence of finite sizes, using topological properties of the wave functions to identify extended states. Our results are consistent with the existence of a second order localization-delocalization transition driven by the random potential. The critical randomness strength and localization length exponent are estimated via a finite size scaling analysis.

Keywords

Cite

@article{arxiv.cond-mat/9611048,
  title  = {Current Carrying States in a Random Magnetic Field},
  author = {Kun Yang and R. N. Bhatt},
  journal= {arXiv preprint arXiv:cond-mat/9611048},
  year   = {2009}
}

Comments

4 pages, 7 eps figures

R2 v1 2026-07-22T11:55:13.092Z