title: Localization length in a quasi-one-dimensional disordered system in the presence of an electric field.
abstract: A two-dimensional δ-potential Kronig-Penney model for quasi-one-dimensional (Q1D) disordered systems is used to study analytically the influence of a constant electric field on the inverse localization length (LL). Based on the Green's function formalism we have calculated LL as a function of the incoming energy E, electric field F, length L of the Q1D sample, number of modes M in the transverse direction and the amount of disorder w. We show that, for large L in Q1D systems, states are weakly localized, i.e. we deal with power-law localization. With increasing electric field in Q1D mesoscopic systems a transition from exponential to a power-law behavior takes place, as in 1D systems. We note that the graphs showing the inverse LL change significantly with increasing F (for fixed M) rather than with increasing M (for fixed F). We also show that the graphs representing the ratio of the corresponding localization length without and with electric field collapse for all modes M into a universal curve in the Q1D strip model.
authors.affiliation: Department of Physics, California State University, Bakersfield, CA 93311, USA. vgasparyan@csub.edu
authors.forename: Vladimir
authors.initials: V
authors.lastname: Gasparian
authors.forename: Marc
authors.initials: M
authors.lastname: Cahay
authors.forename: Esther
authors.initials: E
authors.lastname: Jódar