Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2004-02-18
Phys. Rev. B71, 033103 (2005)
Physics
Condensed Matter
Disordered Systems and Neural Networks
REVTeX4, 4 pages, 2 EPS figures
Scientific paper
10.1103/PhysRevB.71.033103
Anderson model of noninteracting disordered electrons is studied in high spatial dimensions. We find that off-diagonal one- and two-particle propagators behave as gaussian random variables w.r.t. momentum summations. With this simplification and with the electron-hole symmetry we reduce the parquet equations for two-particle irreducible vertices to a single algebraic equation for a local vertex. We find a disorder-driven bifurcation point in this equation signalling vanishing of diffusion and onset of Anderson localization. There is no bifurcation in $d=1,2$ where all states are localized. A natural order parameter for Anderson localization pops up in the construction.
Janis Vaclav
Kolorenc Jindrich
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