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

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.

11 pages, 5 figures

References in corpus (16)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Chiral tunneling and the Klein paradox in graphene
• A tight-binding approach to uniaxial strain in graphene
• All-graphene integrated circuits via strain engineering
• Quantum-limited shot noise in graphene
• Electron Beam Supercollimation in Graphene Superlattices
• Conductivity and Fano factor in disordered graphene
• Electronic Properties Close to Dirac Cone in Two-Dimensional Organic Conductor $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Suppression of coherent thermal transport in quasiperiodic graphene-hBN superlattice ribbons
• Electron optics with dirac fermions: electron transport in monolayer and bilayer graphene through magnetic barrier and their superlattices
• Fano resonances and decoherence in transport through quantum dots
• Double-periodic quasi-periodic graphene superlattice: non-Bragg band gap and electronic transport
• Effects of Fermi velocity engineering in magnetic graphene superlattices
• Electronic transport in two-dimensional strained Dirac materials under multi-step Fermi velocity barrier: transfer matrix method for supersymmetric systems
• Electronic cloaking of confined states in phosphorene junctions