Entropic analysis of the localization-delocalization transition in a one-dimensional correlated lattice

Abstract

In this work, propagation of acoustic waves in a one-dimensional binary chain with different types of correlations in elasticity distribution is studied. We applied entropic analysis to investigate and quantify the localization-delocalization transition in long-range correlated chains in terms of the scaling exponent $\alpha$ and discuss its relation to the order-disorder levels in the structure of the chain. The results demonstrated that the entropic consideration detects correctly the critical value of $\alpha$ separating localization from delocalization bands.

arXiv comment10 pages, 9 figures

References in corpus (23)

• Thermal conduction in classical low-dimensional lattices
• Effect of Trends on Detrended Fluctuation Analysis
• Heat Transport in low-dimensional systems
• 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
• Effect of nonlinear filters on detrended fluctuation analysis
• Localization-delocalization transition in one-dimensional electron systems with long-range correlated disorder
• Estimating the entropy of binary time series: Methodology, some theory and a simulation study
• Phase transition in the Rényi-Shannon entropy of Luttinger liquids
• Precision Measurements of Temperature and Chemical Potential of Quantum Gases
• Nonadditive Entropies Yield Probability Distributions with Biases not Warranted by the Data
• Localization-delocalization transition in a one-dimensional system with long-range correlated off-diagonal disorder
• Absence of localization and large dc conductance in random superlattices with correlated disorder
• Localization of elastic waves in heterogeneous media with off-diagonal disorder and long-range correlations
• Anderson Localization in 1D Systems with Correlated Disorder
• Quantum Correlation with Sandwiched Relative Entropies: Advantageous as Order Parameter in Quantum Phase Transitions
• Anomalous thermal properties of a harmonic chain with correlated isotopic disorder
• Rényi entropy yields artificial biases not in the data and incorrect updating due to the finite-size data
• A Rényi entropy perspective on topological order in classical toric code models
• Opening Pandora's Box: Maximizing the $q$-entropy with Escort Averages
• Reply to "Comment on `Rényi entropy yields artificial biases not in the data and incorrect updating due to the finite-size data' "
• Overcoming the Artificial Biases for the Nonadditive $q$-Entropy

Cited by in corpus (3)

• Spacing ratio statistics of multiplex directed networks
• Engineering complete delocalization of single particle states in a class of one dimensional aperiodic lattices: a quantum dynamical study
• Two-strand ladder network variants: localization, multifractality, and quantum dynamics under an Aubry-André-Harper kind of quasiperiodicity