Electrons scattering in the monolayer graphene with the short-range impurities

TL;DR

This paper solves the electron scattering problem in monolayer graphene with short-range impurities, providing a basis for calculating conductance and optical absorption in both gapless and gapped graphene.

Contribution

It presents an exact solution for the scattering matrix in graphene with short-range perturbations, applicable to both zero-gap and non-zero-gap cases.

Findings

Derived the S-matrix for short-range impurities in graphene

Applicable to calculations of conductance and optical properties

Addresses both gapless and gapped graphene scenarios

Abstract

Scattering problem for electrons in monolayer graphene with short-range perturbations of the types "local chemical potential" and "local gap" has been solved. Zero gap and non-zero gap kinds of graphene are considered. The determined S-matrix can be used for calculation of such observables as conductance and optical absorption.