Eur. Phys. J. B 65, 49-56 (2008)
https://doi.org/10.1140/epjb/e2008-00318-3

One-dimensional Anderson model with dichotomic correlation in the presence of external electric field

Physics Department, Yıldız Technical University, Istanbul, 34210 Davutpaşa, Turkey

Corresponding author: ^a tkaya@yildiz.edu.tr

Received: 7 March 2008
Revised: 2 July 2008
Published online: 1 August 2008

Abstract

A one-dimensional diagonal tight binding electronic system with dichotomic correlated disorder in the presence of external d.c field is investigated. It is found numerically that the conductance distribution obeys fairly well to log-normal distribution in weak disorder strength in localized regime, which indicates validity of single parameter scaling theory in this limit. Contrary to the universal cumulant relation in the absence of d.c. field, we demonstrated numerically that in the presence of the field in localized regime. We interpret this result as suppression of the fluctuation effects by the external field. In addition, it is obtained that the quantity NF_c, here N is the system size and F_c is the crossover field, decreases as the as the system energy E increases. Moreover, we find numerically a simple linear relation between the average logarithm of the conductance and the field strength as , here is a constant for particular values of N and λ, which is the Poisson parameter of the dichotomic process.