Electronic transport in two-dimensional strained Dirac materials under multi-step Fermi velocity barrier: transfer matrix method for supersymmetric systems

TL;DR

This paper investigates how strain and electric fields influence electronic transport in two-dimensional Dirac materials, employing supersymmetric quantum mechanics and transfer matrix methods to analyze multi-step Fermi velocity barriers.

Contribution

It introduces a combined approach using SUSY-QM and transfer matrix methods to study multi-step barriers in strained Dirac materials, highlighting modulation of Klein tunneling.

Findings

Strain and electric fields can modulate Klein tunneling.

Multi-step barriers affect electron transmission.

Methodology applicable to various 2D Dirac materials.

Abstract

In recent years, graphene and other two-dimensional Dirac materials like silicene, germanene, etc. have been studied from different points of view: from mathematical physics, condensed matter physics to high energy physics. In this study, we utilize both supersymmetric quantum mechanics (SUSY-QM) and transfer matrix method (TTM) to examine electronic transport in two-dimensional Dirac materials under the influences of multi-step deformation as well as multi-step Fermi velocity barrier. The effects of multi-step effective mass and multi-step applied fields are also taken into account in our investigation. Results show the possibility of modulating the Klein tunneling of Dirac electron by using strain or electric field.