Europhys. Lett., 62 (1) , pp. 76-82 (2003)
Typical medium theory of Anderson localization: A local order parameter approach to strong-disorder effectsV. Dobrosavljevic1, A. A. Pastor1 and B. K. Nikolic2
1 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)
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.
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.
© EDP Sciences 2003