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

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

2001-06-14

arxiv.org/abs/cond-mat/0106282v2

Europhys. Lett. 62, 76 (2003).

Physics

Condensed Matter

Disordered Systems and Neural Networks

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

Scientific paper

10.1209/epl/i2003-00364-5

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.

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