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
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• Multiterminal Conductance of a Floquet Topological Insulator
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• Effective Theory of Floquet Topological Transitions
• Dissipative Floquet Topological Systems
• Enhanced electron-phonon coupling in graphene with periodically distorted lattice

Cited by in corpus (31)

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• Coherent Dynamics of Floquet-Bloch States in Monolayer WS2 Reveals Fast Adiabatic Switching
• Robustness of quantized transport through edge states of finite length: Imaging current density in Floquet topological vs. quantum spin and anomalous Hall insulators
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• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Transport through vertical graphene contacts under intense laser fields
• Floquet theory and applications in open quantum and classical systems
• Floquet engineering of edge states in the presence of staggered potential and interactions
• Quantum Hall effective action for anisotropic Dirac semi-metal
• First-principles calculations for transient absorption of laser-excited magnetic materials
• Floquet boundary states in AB-stacked graphite
• Quantum transport phenomena induced by time-dependent fields
• Photoinduced dc Hall current in few-layer black phosphorus with a gate-tunable Floquet gap
• Bulk photogalvanic current control and gap spectroscopy in 2D hexagonal materials
• Photovoltaic Effect from the Viewpoint of Time-reversal Symmetry
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• Many-body correlations in Floquet steady-states: Frequency-resolved renormalization group of the driven Anderson impurity
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