The deffect effect on electronic conductance in binomially tailored quantum wire

TL;DR

This study investigates how defects affect electron transmission in binomially tailored quantum wires, revealing the structure's high defect tolerance and potential robustness for electronic applications.

Contribution

It introduces a novel quantum wire design with binomially distributed potentials and analyzes its defect tolerance using transfer matrix methods.

Findings

Structure tolerates significant defect strength and position dislocation.

Quantum wire maintains transmission despite defects in the central Dirac delta.

High defect tolerance suggests robustness for electronic device applications.

Abstract

The paper considers the effect of the defects on the electronic transmission properties in binomially tailored waveguide quantum wires, in which each Dirac delta function potential strength have been weight on the binomial distribution law. We have assumed that a single free-electron channel is incident on the structure and the scattering of electrons is solely from the geometric nature of the problem. We have used the transfer matrix method to study the electron transmission. We found this novel structure has a good defect tolerance. We found the structure tolerate up to in strength defect and in position defect for the central Dirac delta function in the binomial distribution. Also, we found this structure can tolerate both defect up to in strength and in position dislocation