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

V. Dobrosavljevic·A. A. Pastor·Branislav K. Nikolic
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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.

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V. Dobrosavljevic, A. A. Pastor, Branislav K. Nikolic. 2003-01-31. Typical medium theory of Anderson localization: A local order parameter approach to strong disorder effects. https://doi.org/10.1209/epl%2Fi2003-00364-5

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