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

Farzadian, Omid; Oikonomou, Thomas; Good, Michael R. R.; Niry, M. D.

doi:10.1016/j.physa.2019.123350

Cited by 3 publications

(2 citation statements)

References 46 publications

(67 reference statements)

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“…Entropy has been widely studied as a measure of the degree of irregularity [48], disorder [49], complexity [50], and randomness [51] in various systems. Also, it has been used to study the localization-delocalization transition in several systems [52,53]. In this section, we apply entropy analysis, first: to quantify localization-delocalization transition in multiplex networks consisting of directed networks in both layers.…”

Section: Delocalization Transitionmentioning

confidence: 99%

Spacing ratio statistics of multiplex directed networks

Raghav

Jalan

2023

New J. Phys.

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Eigenvalues statistics of various many-body systems have been widelystudied using the nearest neighbor spacing distribution under the random matrixtheory framework. Here, we numerically analyze eigenvalue ratio statistics of multiplexnetworks consisting of directed Erd ̋os-R ́enyi random networks layers represented as,first, weighted non-Hermitian random matrices and then weighted Hermitian randommatrices. We report that the multiplexing strength rules the behaviour of averagespacing ratio statistics for multiplexing networks represented by the non-Hermitianand Hermitian matrices, respectively. Additionally, for both these representationsof the directed multiplex networks, the multiplexing strength appears as a guidingparameter for the eigenvector delocalization of the entire system. These results could be important for driving dynamical processes inseveral real-world multilayer systems, particularly, understanding significance of themultiplexing in comprehending network properties.

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Section: Delocalization Transitionmentioning

confidence: 99%

Spacing ratio statistics of multiplex directed networks

Raghav

Jalan

2023

New J. Phys.

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“…Entropy has been widely studied as a measure of the degree of irregularity [47], disorder [48], complexity [49], and randomness [50] in various systems. Also, it has been used to study the localization-delocalization transition in several systems [51,52]. In this section, we apply entropy analysis, first: to quantify localization-delocalization transition in multiplex networks consisting of directed networks in both layers.…”

Section: Delocalization Transitionmentioning

confidence: 99%

Spacing ratio statistics of multiplex directed networks

Raghav¹,

Jalan²

2023

Preprint

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Eigenvalues statistics of various many-body systems have been widely studied using the nearest neighbor spacing distribution under the random matrix theory framework. Here, we numerically analyze eigenvalue ratio statistics of multiplex networks consisting of directed Erdős-Rényi random networks layers represented as, first, weighted non-Hermitian random matrices and then weighted Hermitian random matrices. We report that the multiplexing strength rules the behavior of average spacing ratio statistics for multiplexing networks represented by the non-Hermitian and Hermitian matrices, respectively. Additionally, for both these representations of the directed multiplex networks, the multiplexing strength appears as a guiding parameter for the eigenvector delocalization of the entire system. These results could be important for driving dynamical processes in several real-world multilayer systems, particularly, understanding the significance of multiplexing in comprehending network properties.

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Engineering complete delocalization of single particle states in a class of one dimensional aperiodic lattices: A quantum dynamical study

Biswas,

Chakrabarti

2024

Physica E: Low-dimensional Systems and Nanostructures

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

Cited by 3 publications

References 46 publications

Spacing ratio statistics of multiplex directed networks

Spacing ratio statistics of multiplex directed networks

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

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