Effects of Scale-Free Disorder on the Anderson Metal-Insulator Transition
| dc.creator | Ndawana, Macleans L. | |
| dc.creator | Roemer, Rudolf A. | |
| dc.creator | Schreiber, Michael | |
| dc.date | 2004-02-01 | |
| dc.date.accessioned | 2026-07-07T02:56:14Z | |
| dc.date.available | 2026-07-07T02:56:14Z | |
| dc.description | We investigate the three-dimensional Anderson model of localization via a modified transfer-matrix method in the presence of scale-free diagonal disorder characterized by a disorder correlation function $g(r)$ decaying asymptotically as $r^{-α}$. We study the dependence of the localization-length exponent $ν$ on the correlation-strength exponent $α$. % For fixed disorder $W$, there is a critical $α_{\rm c}$, such that for $α< α_{\rm c}$, $ν=2/α$ and for $α> α_{\rm c}$, $ν$ remains that of the uncorrelated system in accordance with the extended Harris criterion. At the band center, $ν$ is independent of $α$ but equal to that of the uncorrelated system. The physical mechanisms leading to this different behavior are discussed. | |
| dc.description | submitted to Phys. Rev. Lett | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0402018 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0402018 | |
| dc.identifier | Europhys. Lett. 68, 678-684 (2004) | |
| dc.identifier | doi:10.1209/epl/i2004-10267-5 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/23240 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Effects of Scale-Free Disorder on the Anderson Metal-Insulator Transition | |
| dc.type | text |