Photovoltaic Berry curvature in the honeycomb lattice

TL;DR

This paper investigates the photovoltaic Berry curvature in honeycomb lattices, analyzing how it depends on frequency and field strength, to better understand the photovoltaic Hall effect induced by circularly polarized light.

Contribution

It provides a detailed analysis of the photovoltaic Berry curvature's properties in honeycomb lattices, extending understanding of the photovoltaic Hall effect in these systems.

Findings

Photovoltaic Berry curvature varies with frequency and field strength.

The study elucidates the role of nonequilibrium Berry curvature in the photovoltaic Hall effect.

Insights into the control of Hall effects via light parameters.

Abstract

Photovoltaic Hall effect -- the Hall effect induced by intense, circularly-polarized light in the absence of static magnetic fields -- has been proposed in Phys. Rev. B 79, 081406R (2009) for graphene where a massless Dirac dispersion is realized. The photovoltaic Berry curvature (a nonequilibrium extension of the standard Berry curvature) is the key quantity to understand this effect, which appears in the Kubo formula extended to Hall transport in the presence of strong AC field backgrounds. Here we elaborate the properties of the photovoltaic curvature such as the frequency and field strength dependence in the honeycomb lattice.