Accurate evaluation of the Green's function of disordered graphenes

TL;DR

This paper presents precise simulations of Green's and self-energy functions in disordered graphene, revealing new features near the Dirac point and emphasizing the importance of multi-scattering effects on electronic properties.

Contribution

It introduces an accurate method for evaluating Green's functions in disordered graphene and uncovers new phenomena related to multi-scattering near the Dirac point.

Findings

Revealed new features around the Dirac point.

Highlighted the role of multi-scattering in hybridizing Bloch states.

Provided detailed evaluations of relaxation time and velocities.

Abstract

An accurate simulation of Green's function and self-energy function of non-interacting electrons in disordered graphenes are performed. Fundamental physical quantities such as the elastic relaxation time {\tau}e, the phase velocity vp, and the group velocity vg are evaluated. New features around the Dirac point are revealed, showing hints that multi-scattering induced hybridization of Bloch states plays an important role in the vicinity of the Dirac point.