Lloyd-model generalization: Conductance fluctuations in one-dimensional disordered systems

Méndez-Bermúdez, J.A. ; Martínez-Mendoza, A.J. ; Gopar, V.A. (Universidad de Zaragoza) ; Varga, I.

Resumen: 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 e of the tight-binding Hamiltonian are characterized by long-tailed distributions: For large e, P(e)~1/e1+a with a(0, 2). Our model serves as a generalization of the 1D Lloyd model, which corresponds to a=1. First, we verify that the ensemble average -lnG is proportional to the length of the wire L for all values of a, providing the localization length ¿ from -lnG=2L/¿. Then, we show that the probability distribution function P(G) is fully determined by the exponent a 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 Gß, for G¿0, with ß=a/2, in agreement with previous studies.

Idioma: Inglés

DOI: 10.1103/PhysRevE.93.012135

Año: 2016

Publicado en: Physical Review E 93, 1 (2016), 012135 [ 5pp.]
ISSN: 2470-0045

Factor impacto JCR: 2.366 (2016)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 6 / 55 = 0.109 (2016) - Q1 - T1
Categ. JCR: PHYSICS, FLUIDS & PLASMAS rank: 10 / 31 = 0.323 (2016) - Q2 - T1

Factor impacto SCIMAGO: 1.27 - Condensed Matter Physics (Q1) - Statistics and Probability (Q1) - Statistical and Nonlinear Physics (Q1)

Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2012-35719-C02

Tipo y forma: Article (Published version)

Área (Departamento): Área Física Teórica (Dpto. Física Teórica)