The recursive Green's function method for graphene

TL;DR

This paper presents a recursive Green's function method tailored for calculating electronic transport properties in graphene, accommodating disorder, gating, temperature effects, and different edge configurations.

Contribution

It introduces a computational approach specifically adapted for graphene's unique electronic structure, enabling detailed transport analysis with various physical effects included.

Findings

Effective computation of conductance and density of states in graphene

Ability to model disorder and inhomogeneous gating

Numerical results demonstrating method's usefulness

Abstract

We describe how to apply the recursive Green's function method to the computation of electronic transport properties of graphene sheets and nanoribbons in the linear response regime. This method allows for an amenable inclusion of several disorder mechanisms at the microscopic level, as well as inhomogeneous gating, finite temperature, and, to some extend, dephasing. We present algorithms for computing the conductance, density of states, and current densities for armchair and zigzag atomic edge alignments. Several numerical results are presented to illustrate the usefulness of the method.