Transport through quasi-one-dimensional wires with correlated disorder

Abstract

We study transport properties of bulk-disordered quasi-one-dimensional (Q1D) wires paying main attention to the role of long-range correlations embedded into the disorder. First, we show that for stratified disorder for which the disorder is the same for all individual chains forming the Q1D wire, the transport properties can be analytically described provided the disorder is weak. When the disorder in every chain is not the same, however, has the same binary correlator, the general theory is absent. Thus, we consider the case when only one channel is open and all others are closed. For this situation we suggest a semi-analytical approach which is quite effective for the description of the total transmission coefficient. Our numerical data confirm the validity of our approach. Such Q1D disordered structures with anomalous transport properties can be the subject of an experimental study.

9 pages, 5 figures

References in corpus (9)

• Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
• Enhancement of localization in one-dimensional random potentials with long-range correlations
• The Single-Channel Regime of Transport through Random Media
• Weak disorder expansion for localization lengths of quasi-1D systems
• Absence of extended states in a ladder model of DNA
• Localization-delocalization transition in the quasi-one-dimensional ladder chain with correlated disorder
• Anomalous thermal properties of a harmonic chain with correlated isotopic disorder
• Delocalisation transition in quasi-1D models with correlated disorder
• Mean Free Path in Disordered Multichannel Tight-Binding Wires

Cited by in corpus (2)

• Non-Hermitian Hamiltonian approach to quantum transport in disordered networks with sinks: validity and effectiveness
• Noise, delocalization, and quantum diffusion in one-dimensional tight-binding models