Scaling Properties of 1D Anderson Model with Correlated Diagonal Disorder

Abstract

Statistical and scaling properties of the Lyapunov exponent for a tight-binding model with the diagonal disorder described by a dichotomic process are considered near the band edge. The effect of correlations on scaling properties is discussed. It is shown that correlations lead to an additional parameter governing the validity of single parameter scaling.

5 pages, 3 figures, RevTex

Cited by in corpus (17)

• Anomalous Localization in Low-Dimensional Systems with Correlated Disorder
• Localization-delocalization transition in one-dimensional electron systems with long-range correlated disorder
• Scaling and the center of band anomaly in a one-dimensional Anderson model with diagonal disorder
• Non-universality of Anderson localization in short-range correlated disorder
• Localization-delocalization transition in the quasi-one-dimensional ladder chain with correlated disorder
• Quantum Diffusion in Polaron Model of poly(dG)-poly(dC) and poly(dA)-poly(dT) DNA polymers
• Selective Transport and Mobility Edges in Quasi-1D Systems with a Stratified Correlated Disorder
• One-dimensional models of disordered quantum wires: general formalism
• Correlation-Strength Driven Anderson Metal-Insulator Transition
• Anomalous localisation in the aperiodic Kronig-Penney model
• Effects of disorder on electron tunneling through helical edge states
• Fluctuations of the product of random matrices and generalized Lyapunov exponent
• Generalized Lyapunov Exponent and Transmission Statistics in One-dimensional Gaussian Correlated Potentials
• Statistics of transmission in one-dimensional disordered systems: universal characteristics of states in the fluctuation tails
• Transport properties of 1D disordered models: a novel approach
• Scaling behavior of a one-dimensional correlated disordered electronic System
• Resistance of a 1D random chain: Hamiltonian version of the transfer matrix approach