Photovoltaic Hall effect in graphene
Takashi Oka, Hideo Aoki

TL;DR
This paper investigates how intense circularly polarized light induces a Hall effect in graphene by opening a gap in its electronic structure, using Floquet theory and numerical simulations.
Contribution
It introduces a formalism combining Floquet theory and Green's functions to analyze light-induced Hall effects in graphene, revealing a photo-induced dc Hall current.
Findings
Circularly polarized light opens a gap in graphene's Dirac cone.
A photo-induced dc Hall current is generated under intense light.
Numerical confirmation using Keldysh Green's functions.
Abstract
Response of electronic systems in intense lights (AC electric fields) to DC source-drain fields is formulated with the Floquet method. We have then applied the formalism to graphene, for which we show that a non-linear effect of a circularly polarized light can open a gap in the Dirac cone, which leads to a photo-induced dc Hall current. This is numerically confirmed for a graphene ribbon attached to electrodes with the Keldysh Green's function.
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