Localization-delocalization transition in a one-dimensional system with long-range correlated off-diagonal disorder

Abstract

The localization behavior of the one-dimensional Anderson model with correlated and uncorrelated purely off-diagonal disorder is studied. Using the transfer matrix method, we derive an analytical expression for the localization length at the band center in terms of the pair correlation function. It is proved that for long-range correlated hopping disorder, a localization-delocalization transition occurs at the critical Hurst exponent H_c= 1/2 when the variance of the logarithm of hopping "σ_{\ln(t)}" is kept fixed with the system size N. Based on numerical calculations, finite size scaling relations are postulated for the localization length near the band center (E \neq 0) in terms of the system parameters: E,N,H, and σ_{\ln(t)}.

8 pages, 7 figures

References in corpus (17)

• Localization and Mobility Edge in One-Dimensional Potentials with Correlated Disorder
• Method for Generating Long-Range Correlations for Large Systems
• Experimental evidence of delocalized states in random dimer superlattices
• Observation of a parity oscillation in the conductance of atomic wires
• Experimental observation of the mobility edge in a waveguide with correlated disorder
• Single parameter scaling in one-dimensional localization revisited
• Delocalization in coupled one-dimensional chains
• Localization-delocalization transition in one-dimensional electron systems with long-range correlated disorder
• Mobility Edge in Aperiodic Kronig-Penney Potentials with Correlated Disorder: Perturbative Approach
• Classical Representation of the 1D Anderson Model
• Single parameter scaling in 1-D Anderson localization. Exact analytical solution
• Density of states in coupled chains with off-diagonal disorder
• Zero-modes in the random hopping model
• Nonuniversality in quantum wires with off-diagonal disorder: a geometric point of view
• Crossover from the chiral to the standard universality classes in the conductance of a quantum wire with random hopping only
• Delocalisation phenomena in one-dimensional models with long-range correlated disorder: a perturbative approach
• One-dimensional tight-binding models with correlated diagonal and off-diagonal disorder

Cited by in corpus (29)

• Anomalous Localization in Low-Dimensional Systems with Correlated Disorder
• Interplay between long range hopping and disorder in topological systems
• Krylov Localization and suppression of complexity
• Negative differential resistance in molecular junctions: application to graphene ribbon junctions
• The fate of high winding number topological phases in the disordered extended Su-Schrieffer-Heeger model
• Disorder effects in the two-dimensional Lieb lattice and its extensions
• Metallic phase of disordered graphene superlattices with long-range correlations
• Anomalous properties of the Kronig-Penney model with compositional and structural disorder
• Wannier-Stark ladder in the linear absorption of a random system with scale-free disorder
• Entanglement generation between distant parties via disordered spin chains
• Generalized Dyson model: nature of zero mode and its implication in dynamics
• From Disordered Quantum Walk to Physics of Off-diagonal Disorder
• Anomalous localisation in the aperiodic Kronig-Penney model
• Localization properties and high-fidelity state transfer in electronic hopping models with correlated disorder
• Breakdown of Anderson localization of interacting quantum bright solitons in a disorder potential
• Aharonov-Bohm effect in a helical ring with long-range hopping: Effects of Rashba spin-orbit interaction and disorder
• Transfer efficiency enhancement and eigenstate properties in locally symmetric disordered finite chains
• Scaling properties of one-dimensional off-diagonal disorder
• Non-Hermitian off-diagonal disordered optical lattices
• The odd-even effect of mosaic modulation period of quasi-periodic hopping on the Anderson localization in a one-dimensional lattice model
• Exact mobility line and mobility ring in the complex energy plane of a flat band lattice with a non-Hermitian quasiperiodic potential
• Entropic analysis of the localization-delocalization transition in a one-dimensional correlated lattice
• Bound states in one-dimensional systems with colored noise
• Excitation transfer in disordered spin chains with long-range exchange interactions
• Statistical properties of a localization-delocalization transition induced by correlated disorder
• Localization in One-Dimensional Tight-Binding Model with Chaotic Binary Sequences
• Delocalization in One-Dimensional Tight-Binding Models with Fractal Disorder II: Existence of Mobility Edge
• Topological edge states and disorder robustness in one-dimensional off-diagonal mosaic lattices
• Non-self-averaging topological Anderson insulator