English

The recursive Green's function method for graphene

Mesoscale and Nanoscale Physics 2013-06-18 v1

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.

Keywords

Cite

@article{arxiv.1304.3934,
  title  = {The recursive Green's function method for graphene},
  author = {Caio H. Lewenkopf and Eduardo R. Mucciolo},
  journal= {arXiv preprint arXiv:1304.3934},
  year   = {2013}
}

Comments

26 pages, 15 figures; submitted to Journal of Computational Electronics (special issue on graphene)

R2 v1 2026-06-21T23:59:22.785Z