Phase diagram of the three-dimensional Anderson model of localization with random hopping
| dc.creator | Cain, P. | |
| dc.creator | Roemer, R. A. | |
| dc.creator | Schreiber, M. | |
| dc.date | 1999-08-18 | |
| dc.date.accessioned | 2026-07-07T03:14:15Z | |
| dc.date.available | 2026-07-07T03:14:15Z | |
| dc.description | We examine the localization properties of the three-dimensional (3D) Anderson Hamiltonian with off-diagonal disorder using the transfer-matrix method (TMM) and finite-size scaling (FSS). The nearest-neighbor hopping elements are chosen randomly according to $t_{ij} \in [c-1/2, c + 1/2]$. We find that the off-diagonal disorder is not strong enough to localize all states in the spectrum in contradistinction to the usual case of diagonal disorder. Thus for any off-diagonal disorder, there exist extended states and, consequently, the TMM converges very slowly. From the TMM results we compute critical exponents of the metal-insulator transitions (MIT), the mobility edge $E_c$, and study the energy-disorder phase diagram. | |
| dc.description | 4 pages, 5 EPS figures, uses annalen.cls style [included]; presented at Localization 1999, to appear in Annalen der Physik [supplement] | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9908255 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9908255 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/29604 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Phase diagram of the three-dimensional Anderson model of localization with random hopping | |
| dc.type | text |