English

Typical medium theory of Anderson localization: A local order parameter approach to strong disorder effects

Disordered Systems and Neural Networks 2009-11-07 v2 Strongly Correlated Electrons

Abstract

We present a self-consistent theory of Anderson localization that yields a simple algorithm to obtain \emph{typical local density of states} as an order parameter, thereby reproducing the essential features of a phase-diagram of localization-delocalization quantum phase transition in the standard lattice models of disordered electron problem. Due to the local character of our theory, it can easily be combined with dynamical mean-field approaches to strongly correlated electrons, thus opening an attractive avenue for a genuine {\em non-perturbative} treatment of the interplay of strong interactions and strong disorder.

Keywords

Cite

@article{arxiv.cond-mat/0106282,
  title  = {Typical medium theory of Anderson localization: A local order parameter approach to strong disorder effects},
  author = {V. Dobrosavljevic and A. A. Pastor and Branislav K. Nikolic},
  journal= {arXiv preprint arXiv:cond-mat/0106282},
  year   = {2009}
}

Comments

7 pages, 4 EPS figures, revised version to appear in Europhysics Letters