TY - JOUR

T1 - Relationship between electron flux and electron complexity in a disordered Dirac comb

AU - Heredia, A. A.

AU - Landauro, C. V.

AU - Nowak, H.

N1 - Publisher Copyright:
© 2020 Elsevier B.V.

PY - 2021/2/15

Y1 - 2021/2/15

N2 - 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.

AB - 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.

KW - Electron flux

KW - Statistical complexity

KW - Structural disorder

UR - http://www.scopus.com/inward/record.url?scp=85095423664&partnerID=8YFLogxK

U2 - 10.1016/j.physa.2020.125499

DO - 10.1016/j.physa.2020.125499

M3 - Artículo

AN - SCOPUS:85095423664

SN - 0378-4371

VL - 564

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

M1 - 125499

ER -