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arXiv · 1811.04617

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

O. Farzadian·T. Oikonomou·M. R. R. Good·M. D. Niry
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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 $α$ 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 $α$ separating localization from delocalization bands.

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O. Farzadian, T. Oikonomou, M. R. R. Good, M. D. Niry. 2019-06-03. Entropic analysis of the localization-delocalization transition in a one-dimensional correlated lattice. https://doi.org/10.1016/j.physa.2019.123350

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