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

Author

Listed:
  • Heredia, A.A.
  • Landauro, C.V.
  • Nowak, H.

Abstract

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.

Suggested Citation

  • Heredia, A.A. & Landauro, C.V. & Nowak, H., 2021. "Relationship between electron flux and electron complexity in a disordered Dirac comb," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 564(C).
    • Handle: RePEc:eee:phsmap:v:564:y:2021:i:c:s0378437120307974
    DOI: 10.1016/j.physa.2020.125499
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