A mean-field theory of Anderson localization
| dc.creator | Janis, V. | |
| dc.creator | Kolorenc, J. | |
| dc.date | 2004-02-18 | |
| dc.date.accessioned | 2026-07-07T10:02:55Z | |
| dc.date.available | 2026-07-07T10:02:55Z | |
| dc.description | 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. | |
| dc.description | REVTeX4, 4 pages, 2 EPS figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0402471 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0402471 | |
| dc.identifier | Phys. Rev. B71, 033103 (2005) | |
| dc.identifier | doi:10.1103/PhysRevB.71.033103 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169146 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | A mean-field theory of Anderson localization | |
| dc.type | text |