Bloch wave scattering on pseudopotential impurity in 1D Dirac comb model

TL;DR

This paper calculates electron-impurity scattering coefficients for Bloch waves in a 1D Dirac comb model using a delta function pseudopotential, providing explicit solutions to the Schrödinger equation and scattering problem.

Contribution

It introduces an explicit analytical method for calculating scattering coefficients in a 1D Dirac comb with impurity modeled as a pseudopotential.

Findings

Explicit scattering coefficients derived for Bloch waves

Analytical solutions to Schrödinger equation with pseudopotential

Enhanced understanding of impurity effects in 1D periodic potentials

Abstract

This paper presents calculation of electron-impurity scattering coefficient of Bloch waves for one dimensional Dirac comb potential. The impurity is also modeled as delta function pseudopotential that allows explicit solution of Schr\"odinger equation and scattering problem for Bloch waves.