Microscopic theory for the light-induced anomalous Hall effect in graphene

Abstract

We employ a quantum Liouville equation with relaxation to model the recently observed anomalous Hall effect in graphene irradiated by an ultrafast pulse of circularly polarized light. In the weak-field regime, we demonstrate that the Hall effect originates from an asymmetric population of photocarriers in the Dirac bands. By contrast, in the strong-field regime, the system is driven into a non-equilibrium steady state that is well-described by topologically non-trivial Floquet-Bloch bands. Here, the anomalous Hall current originates from the combination of a population imbalance in these dressed bands together with a smaller anomalous velocity contribution arising from their Berry curvature. This robust and general finding enables the simulation of electrical transport from light-induced Floquet-Bloch bands in an experimentally relevant parameter regime and creates a pathway to designing ultrafast quantum devices with Floquet-engineered transport properties.

References in corpus (9)

• Photovoltaic Hall effect in graphene
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Dynamical control of matter-wave tunneling in periodic potentials
• Irradiated graphene as a tunable Floquet topological insulator
• Multiterminal Conductance of a Floquet Topological Insulator
• Out of equilibrium electrons and the Hall conductance of a Floquet topological insulator
• Effective Theory of Floquet Topological Transitions
• Dissipative Floquet Topological Systems
• Enhanced electron-phonon coupling in graphene with periodically distorted lattice

Cited by in corpus (7)

• Cavity Quantum-Electrodynamical Chern Insulator: Route Towards Light-Induced Quantized Anomalous Hall Effect in Graphene
• Floquet engineering of twisted double bilayer graphene
• Light-induced bound electron states in two-dimensional systems: Contribution to electron transport
• Robustness of quantized transport through edge states of finite length: Imaging current density in Floquet topological vs. quantum spin and anomalous Hall insulators
• Quantum Hall effective action for anisotropic Dirac semi-metal
• Floquet boundary states in AB-stacked graphite
• Photovoltaic Effect from the Viewpoint of Time-reversal Symmetry