DOI: 10.1209/epl/i2003-00364-5
Europhys. Lett., 62 (1) , pp. 76-82 (2003)

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

V. Dobrosavljevic¹, A. A. Pastor¹ and B. K. Nikolic<sup>2

1</sup>  Department of Physics and National High Magnetic Field Laboratory Florida State University, Tallahassee, FL 32306, USA
²  Department of Physics, Georgetown University - Washington, DC 20057-0995, USA

(Received 31 July 2002; accepted in final form 30 January 2003)

Abstract
We present a self-consistent theory of Anderson localization that yields a simple algorithm to obtain the 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 the 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 non-perturbative treatment of the interplay of strong interactions and strong disorder.

PACS
72.15.Rn - Localization effects (Anderson or weak localization).
71.27.+a - Strongly correlated electron systems; heavy fermions.
71.30.+h - Metal-insulator transitions and other electronic transitions.

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