# Relationship between electron flux and electron complexity in a disordered Dirac comb

A. A. Heredia, C. V. Landauro, H. Nowak

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## Resumen

The transfer matrix method is used to calculate the electronic states of a finite chain of structurally disordered delta-function potentials. With the probability density for the electrons in the chain we calculate a complexity measure C for a continuous probability distribution, defined by a function of Shannon's entropy H, as an order measure of the chain, and the inverse participation ratio, or disequilibrium D, as a measure of localization of electron states. C is minimal for a completely ordered and maximal for a completely disordered chain. It is used as an indicator for the electronic transport in disordered systems characterized by a disorder parameter W. We also compare C with the transmission coefficient, T, and the inverse participation ratio D. A statistical interpretation is formulated based on the relationship between the disorder in the delta-function potentials and the transmitted and reflected electron flux. Hence, we are able to interpret the behavior of C with the formation of localized Gaussian distribution of the transmitted and reflected electron current j for growing disorder W.

Idioma original Inglés 125499 Physica A: Statistical Mechanics and its Applications 564 https://doi.org/10.1016/j.physa.2020.125499 Publicada - 15 feb. 2021