| Texto completo | |
| Autor(es): |
Mendez-Bermudez, J. A.
;
Martinez-Mendoza, A. J.
;
Gopar, V. A.
;
Varga, I.
Número total de Autores: 4
|
| Tipo de documento: | Artigo Científico |
| Fonte: | PHYSICAL REVIEW E; v. 93, n. 1, p. 5-pg., 2016-01-20. |
| Resumo | |
We perform a detailed numerical study of the conductance G through one-dimensional (1D) tight-binding wires with on-site disorder. The random configurations of the on-site energies epsilon of the tight-binding Hamiltonian are characterized by long-tailed distributions: For large epsilon, P(epsilon) similar to 1/epsilon(1+alpha) with alpha is an element of (0,2). Our model serves as a generalization of the 1D Lloyd model, which corresponds to alpha = 1. First, we verify that the ensemble average <-lnG > is proportional to the length of the wire L for all values of alpha, providing the localization length xi from <-lnG > = 2L/xi. Then, we show that the probability distribution function P(G) is fully determined by the exponent alpha and <-lnG >. In contrast to 1D wires with standard white-noise disorder, our wire model exhibits bimodal distributions of the conductance with peaks at G = 0 and 1. In addition, we show that P(lnG) is proportional to G(beta), for G -> 0, with beta <= alpha/2, in agreement with previous studies. (AU) | |
| Processo FAPESP: | 14/25997-0 - Redes complexas: uma abordagem por matrizes aleatórias |
| Beneficiário: | Francisco Aparecido Rodrigues |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Internacional |