Transport properties of one-dimensional Kronig-Penney models with correlated disorder

Abstract

Transport properties of one-dimensional Kronig-Penney models with binary correlated disorder are analyzed using an approach based on classical Hamiltonian maps. In this method, extended states correspond to bound trajectories in the phase space of a parametrically excited linear oscillator, while the on site-potential of the original model is transformed to an external force. We show that in this representation the two probe conductance takes a simple geometrical form in terms of evolution areas in phase-space. We also analyze the case of a general N-mer model.

16 pages in Latex, 12 Postscript figures included

References in corpus (1)

• Scaling Properties of Localization Length in 1D Paired Correlated Binary Alloys of Finite Size

Cited by in corpus (7)

• Anomalous Localization in Low-Dimensional Systems with Correlated Disorder
• Experimental observation of the mobility edge in a waveguide with correlated disorder
• Classical Representation of the 1D Anderson Model
• Localization-delocalization transition in the quasi-one-dimensional ladder chain with correlated disorder
• Resonant enhancement of Anderson localization: Analytical approach
• Electronic states and transport properties in the Kronig-Penney model with correlated compositional and structural disorder
• Resistance of a 1D random chain: Hamiltonian version of the transfer matrix approach