English

Surface criticality and multifractality at localization transitions

Mesoscale and Nanoscale Physics 2007-05-23 v2

Abstract

We develop the concept of surface multifractality for localization-delocalization (LD) transitions in disordered electronic systems. We point out that the critical behavior of various observables related to wave functions near a boundary at a LD transition is different from that in the bulk. We illustrate this point with a calculation of boundary critical and multifractal behavior at the 2D spin quantum Hall transition and in a 2D metal at scales below the localization length.

Keywords

Cite

@article{arxiv.cond-mat/0512040,
  title  = {Surface criticality and multifractality at localization transitions},
  author = {A. R. Subramaniam and I. A. Gruzberg and A. W. W. Ludwig and F. Evers and A. Mildenberger and A. D. Mirlin},
  journal= {arXiv preprint arXiv:cond-mat/0512040},
  year   = {2007}
}

Comments

Published version