Mean Green's function of the Anderson model at weak disorder with an infra-red cut-off
| dc.creator | Poirot, Gilles | |
| dc.date | 1997-02-12 | |
| dc.date.accessioned | 2026-07-07T09:11:32Z | |
| dc.date.available | 2026-07-07T09:11:32Z | |
| dc.description | We develop a polymer expansion with large/small field conditions for the mean resolvent of a weakly disordered system. Then we show that we can apply our result to a two-dimensional model, for energies outside the unperturbed spectrum or in the free spectrum provided the potential has an infra-red cut-off. This leads to an asymptotic expansion for the density of states. We believe this is an important first step towards a rigourous analysis of the density of states in the free spectrum of a random Schrödinger operator at weak disorder. | |
| dc.description | 31 pages, 7 eps figures, LaTeX document using AMS symbols (amssym.def, amssym.tex) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9702111 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9702111 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/151710 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Mean Green's function of the Anderson model at weak disorder with an infra-red cut-off | |
| dc.type | text |