Electrical Resistivity Model for Quasi-one-dimensional structures

TL;DR

This paper develops a model for electrical resistivity in quasi-one-dimensional structures by analyzing electron-impurity scattering in a Dirac comb potential, revealing significant temperature and impurity strength effects.

Contribution

It introduces a novel calculation of resistivity using electron-impurity scattering coefficients for Bloch waves in a Dirac comb potential, with advanced numerical evaluation.

Findings

Resistivity varies strongly with temperature.

Impurity strength significantly affects resistivity.

Numerical methods effectively evaluate complex integrals.

Abstract

In this paper electron-impurity scattering coefficient of Bloch waves for one dimensional Dirac comb potential is used for calculation of temperature dependence of resistivity within kinetic theory. We restrict ourselves by scattering on impurities that is also modeled by zero-range potential. The standard averaging is expressed by integral that is evaluated within advanced numerical procedure. The plots on base of the calculations results demonstrate strong variability as function of temperature and impurity strength.