Inhomogeneous Dirac-Bloch Equations for Graphene Interacting with Structured Light

TL;DR

This paper extends Dirac-Bloch equations to account for structured light interacting with graphene, enabling analysis of nonlinear optical responses to spatially inhomogeneous fields, exemplified by angular momentum carrying pulses.

Contribution

The authors derive a generalized form of Dirac-Bloch equations for inhomogeneous fields and demonstrate its application to structured light interacting with graphene.

Findings

Generalized Dirac-Bloch equations for structured light

Application to angular momentum carrying optical pulses

Framework for nonlinear optical response analysis

Abstract

We generalise the usual framework of Dirac-Bloch equations, used to compute the nonlinear optical response of 2D materials excited by spatially uniform optical pulses, to the case of structured light pulses. We derive the general form of Dirac-Bloch equations in the presence of a spatially inhomogeneous field, for the case of a graphene-like material. Then, as as example of application of our method, we consider explicitly the case of angular momentum carrying optical pulses interacting with graphene.