Atomistic deconstruction of current flow in graphene based hetero-junctions

Abstract

We describe the numerical modeling of current flow in graphene heterojunctions, within the Keldysh Landauer Non-equilibrium Green's function (NEGF) formalism. By implementing a $k$-space approach along the transverse modes, coupled with partial matrix inversion using the Recursive Green's function Algorithm (RGFA), we can simulate on an atomistic scale current flow across devices approaching experimental dimensions. We use the numerical platform to deconstruct current flow in graphene, compare with experimental results on conductance, conductivity and quantum Hall, and deconstruct the physics of electron `optics' and pseudospintronics in graphene $p-n$ junctions. We also demonstrate how to impose exact open boundary conditions along the edges to minimize spurious edge reflections.

15 pages, 12 figures

References in corpus (26)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Ultrahigh electron mobility in suspended graphene
• Chiral tunneling and the Klein paradox in graphene
• Giant Intrinsic Carrier Mobilities in Graphene and Its Bilayer
• Room Temperature All Semiconducting sub-10nm Graphene Nanoribbon Field-Effect Transistors
• Charged Impurity Scattering in Graphene
• Quantum interference and Klein tunneling in graphene heterojunctions
• Veselago Lens for Electrons: Focusing and Caustics in Graphene p-n Junctions
• Measurement of Scattering Rate and Minimum Conductivity in Graphene
• Quantum-limited shot noise in graphene
• Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene
• Evidence of Klein tunneling in graphene p-n junctions
• Phase Coherent Transport of Charges in Graphene Quantum Billiard
• Transport measurements across a tunable potential barrier in graphene
• Electronic transport and quantum Hall effect in bipolar graphene p-n-p junction
• Quantized Transport in Graphene p-n Junctions in Magnetic Field
• Gate-controlled Guiding of Electrons in Graphene
• Non-equilibrium Green's function treatment of phonon scattering in carbon nanotube transistors
• Scaling Behaviors of Graphene Nanoribbon FETs: A Three Dimensional Quantum Simulation Study
• Minimal conductivity in bilayer graphene
• Conductance asymmetry of graphene pn junction
• Caustics due to Negative Refractive Index in Circular Graphene p-n Junctions
• Quantum behavior of graphene transistors near the scaling limit
• Manifestation of chiral tunneling at a tilted graphene pn junction
• Diluted chirality dependence in edge rough graphene nanoribbon field-effect transistors

Cited by in corpus (6)

• The recursive Green's function method for graphene
• Patched Green's function techniques for two dimensional systems: Electronic behaviour of bubbles and perforations in graphene
• Manipulating chiral transmission by gate geometry: switching in graphene with transmission gaps
• Time-dependent density-functional theory for real-time electronic dynamics on material surfaces
• Theory of Landau level mixing in heavily graded graphene p-n junctions
• Klein tunneling of the electronic states in the gate voltage modulated skyrmion crystal