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.

arXiv comment9 pages, 5 figures

References in corpus (32)

• Random-Matrix Theory of Quantum Transport
• Anderson localization of a non-interacting Bose-Einstein condensate
• Experimental observation of the Anderson transition with atomic matter waves
• Localization and Mobility Edge in One-Dimensional Potentials with Correlated Disorder
• Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
• Anomalous Localization in Low-Dimensional Systems with Correlated Disorder
• Experimental observation of the mobility edge in a waveguide with correlated disorder
• Delocalization in coupled one-dimensional chains
• Density-matrix spectra for integrable models
• Enhancement of localization in one-dimensional random potentials with long-range correlations
• The Single-Channel Regime of Transport through Random Media
• Localization in Correlated Bi-Layer Structures: From Photonic Cristals to Metamaterials and Electron Superlattices
• Anomalous transport in low-dimensional systems with correlated disorder
• Weak disorder expansion for localization lengths of quasi-1D systems
• From closed to open 1D Anderson model: Transport versus spectral statistics
• Absence of extended states in a ladder model of DNA
• Nonuniversality in quantum wires with off-diagonal disorder: a geometric point of view
• Microwave realization of quasi one-dimensional systems with correlated disorder
• Onset of Delocalization in Quasi-1D Waveguides with Correlated Surface Disorder
• Localization fom conductance in few-channel disordered wires
• Localization-delocalization transition in the quasi-one-dimensional ladder chain with correlated disorder
• Conductance and localization in disordered wires: role of evanescent states
• One-dimensional tight-binding models with correlated diagonal and off-diagonal disorder
• Selective Transport and Mobility Edges in Quasi-1D Systems with a Stratified Correlated Disorder
• Anomalous localisation near the band centre in the 1D Anderson model: Hamiltonian map approach
• Anomalous thermal properties of a harmonic chain with correlated isotopic disorder
• Localization length in Dorokhov's microscopic model of multichannel wires
• Resonant enhancement of Anderson localization: Analytical approach
• Electronic states and transport properties in the Kronig-Penney model with correlated compositional and structural disorder
• Transmission in waveguides with compositional and structural disorder: experimental effects of disorder cross-correlations
• Delocalisation transition in quasi-1D models with correlated disorder
• Mean Free Path in Disordered Multichannel Tight-Binding Wires

Cited by in corpus (7)

• Non-Hermitian Hamiltonian approach to quantum transport in disordered networks with sinks: validity and effectiveness
• High-fidelity state transfer through long-range correlated disordered quantum channels
• Interplay of different environments in open quantum systems: Breakdown of the additive approximation
• Noise, delocalization, and quantum diffusion in one-dimensional tight-binding models
• Quantum superballistic diffusion in presence of white noise
• Resonant Anderson localization in segmented wires
• Anderson localization of Bogoliubov excitations on quasi-1D strips