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A geometry-independent effective model for the contact self-energies isproposed to calculate the quantum conductance of patterned graphene devicesusing Green's functions. A Corbino disk, being the simplest device where thecontacts can not be modeled as semi-infinite ribbons, is chosen to illustratethis approach. This system's symmetry allows an analytical solution againstwhich numerical calculations on the lattice can be benchmarked. The effectivemodel perfectly describes the conductance of Corbino disks at low-to-moderateenergies, and is robust against the size of the annular device region, thenumber of atoms on the edge, external magnetic fields, or electronic disorder.The contact model considered here affords an expedite, flexible, andgeometry-agnostic approach easily allows the consideration of device dimensionsencompassing several million atoms, and realistic radial dimensions of a fewhundreds of nanometers.

Effective contact model for geometry-independent conductance calculations in graphene