Decomposition into Propagating and Evanescent Modes of Graphene Ribbons
arXiv:1412.2823 · doi:10.1103/PhysRevB.90.045402
Abstract
Bulk modes (BM) are basis solutions to the Schrödinger equation and they are useful in a number of physical problems. In the present work, we establish a complete set of BMs for graphene ribbons at arbitrary energy. We derive analytical expressions for these modes and systematically classify them into propagating or evanescent mode. We also demonstrate their uses in efficient electronic transport simulations of graphene-based electronic devices within both the mode-matching method and the Green's function framework. Explicit constructions of Green's functions for infinite and semi-infinite graphene ribbons are presented.
References in corpus (19)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Two Dimensional Atomic Crystals
- Valley filter and valley valve in graphene
- Electronic States of Graphene Nanoribbons
- Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene
- 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
- Electronic transport properties of graphene nanoribbons
- Perfectly Conducting Channel and Universality Crossover in Disordered Nano-Graphene Ribbons
- Conductance calculations for quantum wires and interfaces: mode matching and Green functions
- Edge Effect on Electronic Transport Properties of Graphene Nanoribbons and Presence of Perfectly Conducting Channel
- Interfaces Within Graphene Nanoribbons
- Finite-difference method for transport of two-dimensional massless Dirac fermions in a ribbon geometry
- Conductance Through Graphene Bends and Polygons
- Control of electric current by graphene edge structure engineering
- A Transfer Matrix Approach to Electron Transport in Graphene through Arbitrary Electric and Magnetic Potential Barriers
- Formation mechanism of bound states in graphene point contacts