Calculation of Anderson localization criterium for a one dimensional chain with diagonal disorder
| dc.creator | Kozlov, G. G. | |
| dc.date | 2008-10-10 | |
| dc.date | 2008-10-13 | |
| dc.date.accessioned | 2026-07-07T10:09:08Z | |
| dc.date.available | 2026-07-07T10:09:08Z | |
| dc.description | For a one dimensional half-infinite chain with diagonal disorder we calculated the ultimate at $t\to\infty$ value of the average excitation density at the edge site $D$ if at $t=0$ the excitation was localised at the edge site (Anderson' s creterium). We obtained the following results: i) for the binary disordered chain we derived the close expression for $D$ which is exact in the limit of low concentration of defects and is valid for an arbitrary energy of defects $\varepsilon$. In this case $D$ demonstrated the non analytical dependence on $\varepsilon$. ii) The close expression for $D$ is obtained for the case of an arbitrary small disorder. iii) The relative contribution of states with specified energy to $D$ is calculated. All the results obtained are in complete agreement with computer simulation. | |
| dc.description | 17 pages, 2 figures misprints corrected | |
| dc.identifier | https://arxiv.org/abs/0810.1846 | |
| dc.identifier | http://arxiv.org/abs/0810.1846 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171230 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Calculation of Anderson localization criterium for a one dimensional chain with diagonal disorder | |
| dc.type | text |