Extended transfer matrix method for electron transmission in anisotropic 2D materials: Interplay of strain and (a)periodicity of potentials

TL;DR

This paper introduces an extended transfer matrix method tailored for analyzing electron transmission in anisotropic 2D materials, considering strain and potential periodicity effects, with applications to strained graphene.

Contribution

The authors develop a novel extension of the transfer matrix method to incorporate anisotropic features and strain effects in 2D materials, enabling detailed transmission analysis.

Findings

Transmission properties depend on strain and potential parameters.

Conductance measurements can reveal strain-potential interplay.

Method applicable to various anisotropic 2D materials.

Abstract

We extend the conventional transfer matrix method to include anisotropic features for electron transmission in two-dimensional materials, such as breaking reflection law in pseudo-spin phases and wave vectors. This method allows to study transmission properties of anisotropic and stratified electrostatic potential media from a wide range of tunable parameters, which include strain tensor and gating. We apply the extended matrix method to obtain the electron transmission, conductance, and Fano factor for the interplay of an uniaxially strained graphene sheet with external one-dimensional aperiodic potentials. Our results suggest the possibility of visualizing this interplay from conductance measurements.