Session K44: Transport in Disordered Electronic Systems
2:30 PM–5:30 PM, Tuesday, March 14, 2006
Baltimore Convention Center Room: 347
Sponsoring Unit:
DCMP
Chair: A. Punnose, University of Wisconsin
Abstract ID: BAPS.2006.MAR.K44.10
Abstract: K44.00010 : Mean-field description of Anderson localization transition
4:18 PM–4:30 PM
Preview Abstract
MathJax On | Off 
Abstract 
Authors:
Jindrich Kolorenc
(Center for High Performance Simulation and Department of Physics, North Carolina State University, Raleigh, NC 27695-8202)
Vaclav Janis
(Institute of Physics, Academy of Sciences of the Czech Republic, Na Slovance 2, CZ-18221 Praha 8, Czech Republic)
The Anderson model of noninteracting disordered electrons is studied in high spatial dimensions. In this limit the coupled Bethe-Salpeter equations determining two-particle vertices (parquet equations) reduce to a single algebraic equation for a local vertex. We find a disorder-driven bifurcation point in this equation signaling vanishing of electron diffusion and onset of Anderson localization. There is no bifurcation in $d=1,2$ where all states are localized. In dimensions $d\geq 3$ the mobility edge separating metallic and insulating phase is found for various types of disorder and compared with results of other treatments.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2006.MAR.K44.10