The recursive Green’s function method for graphene

• Published in: Journal of computational electronics Vol. 12; no. 2; pp. 203 - 231
• Main Authors: Lewenkopf, Caio H., Mucciolo, Eduardo R.
• Format: Journal Article
• Language: English
• Published: Boston Springer US 01.06.2013; Springer Nature B.V
• Subjects: Algorithms; Approximation; Electrical Engineering; Electron transport; Engineering; Graphene; Green's functions; Mathematical and Computational Engineering; Mathematical and Computational Physics; Mechanical Engineering; Methods; Nanoribbons; Numerical analysis; Optical and Electronic Materials; Recursive functions; Theoretical; Transport properties; Electronic transport; Recursive Green’s function method; Graphene nanoribbons
• ISSN: 1569-8025; 1572-8137
• DOI: 10.1007/s10825-013-0458-7

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.