All Optical Measurement Proposed for the Photovoltaic Hall Effect

TL;DR

This paper proposes an all-optical measurement method for the photovoltaic Hall effect, using Faraday rotation calculations based on Floquet formalism, and suggests observing it in materials like graphite and multi-band systems.

Contribution

It introduces a novel all-optical approach to detect the photovoltaic Hall effect through Faraday rotation analysis in complex materials.

Findings

Calculated Faraday rotation angle using extended Kubo formula.

Identified potential observation in three-dimensional graphite.

Applicable to multi-band systems like dp-model materials.

Abstract

We propose an all optical way to measure the recently proposed "photovoltaic Hall effect", i.e., a DC Hall effect induced by a circularly polarized light in the absence of static magnetic fields. For this, we have calculated the Faraday rotation angle induced by the photovoltaic Hall effect with the Kubo formula extended for photovoltaic optical response in the presence of strong AC electric fields treated with the Floquet formalism. We also point out the possibility of observing the effect in three-dimensional graphite, and more generally in multi-band systems such as materials described by the dp-model.