English

Disorder-induced critical phenomena--new universality classes in Anderson localization

Mesoscale and Nanoscale Physics 2007-05-23 v3 Disordered Systems and Neural Networks

Abstract

The Anderson metal-insulator transition is a continuous phase transition driven by disorder. It remains a challenging problem to theoretically determine universal critical properties at the transition. The Anderson transition in a model with a discrete sublattice or particle-hole symmetry belongs to one of seven universality classes which are different from the three well-known standard ones. Here we review our recent theoretical work on these new universality classes in (quasi) one and two dimensions.

Cite

@article{arxiv.cond-mat/0511622,
  title  = {Disorder-induced critical phenomena--new universality classes in Anderson localization},
  author = {P. W. Brouwer and A. Furusaki and C. Mudry and S. Ryu},
  journal= {arXiv preprint arXiv:cond-mat/0511622},
  year   = {2007}
}

Comments

9 pages, 5 figures