Parquet approach to nonlocal vertex functions and electrical conductivity of disordered electrons
| dc.creator | Janis, V. | |
| dc.date | 2000-10-03 | |
| dc.date.accessioned | 2026-07-07T10:02:54Z | |
| dc.date.available | 2026-07-07T10:02:54Z | |
| dc.description | A diagrammatic technique for two-particle vertex functions is used to describe systematically the influence of spatial quantum coherence and backscattering effects on transport properties of noninteracting electrons in a random potential. In analogy with many-body theory we construct parquet equations for topologically distinct {\em nonlocal} irreducible vertex functions into which the {\em local} one-particle propagator and two-particle vertex of the coherent-potential approximation (CPA) enter as input. To complete the two-particle parquet equations we use an integral form of the Ward identity and determine the one-particle self-energy from the known irreducible vertex. In this way a conserving approximation with (Herglotz) analytic averaged Green functions is obtained. We use the limit of high spatial dimensions to demonstrate how nonlocal corrections to the $d=\infty$ (CPA) solution emerge. The general parquet construction is applied to the calculation of vertex corrections to the electrical conductivity. With the aid of the high-dimensional asymptotics of the nonlocal irreducible vertex in the electron-hole scattering channel we derive a mean-field approximation for the conductivity with vertex corrections. The impact of vertex corrections onto the electronic transport is assessed quantitatively within the proposed mean-field description on a binary alloy. | |
| dc.description | REVTeX 19 pages, 9 EPS diagrams, 6 PS figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0010044 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0010044 | |
| dc.identifier | Phys. Rev. B64 115115 (2001) 1-16 | |
| dc.identifier | doi:10.1103/PhysRevB.64.115115 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169140 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Parquet approach to nonlocal vertex functions and electrical conductivity of disordered electrons | |
| dc.type | text |