Typical medium theory of Anderson localization: A local order parameter approach to strong-disorder effects
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
Accepted: 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.
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
© EDP Sciences, 2003