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

2001/06/30 by V. Dobrosavljević, V. Dobrosavljevic, A. A. Pastor +2 · 16 citations
Physics and Astronomy · #Magnetic properties of thin films #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.dis-nn #cond-mat.str-el

paper · pdf · doi:10.1209/epl/i2003-00364-5

published as Europhys. Lett. 62, 76 (2003). · 7 pages, 4 EPS figures, revised version to appear in Europhysics Letters

arxiv created 2003/01/31 · openalex publication_date 2003/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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.

Citations

• Metallic behavior and related phenomena in two dimensions
• Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
• The Anderson Transition: Time Reversal Symmetry and Universality

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