Effective Theory of Floquet Topological Transitions

Abstract

We develop a theory of topological transitions in a Floquet topological insulator, using graphene irradiated by circularly polarized light as a concrete realization. We demonstrate that a hallmark signature of such transitions in a static system, i.e. metallic bulk transport with conductivity of order $e^2/h$, is substantially suppressed at some Floquet topological transitions in the clean system. We determine the conditions for this suppression analytically and confirm our results in numerical simulations. Remarkably, introducing disorder dramatically enhances this transport by several orders of magnitude.

4+epsilon pages, 4 figures, supplemental material

References in corpus (10)

• The electronic properties of graphene
• Photovoltaic Hall effect in graphene
• Topological characterization of periodically-driven quantum systems
• Colloquium: The transport properties of graphene: An introduction
• Quantum-limited shot noise in graphene
• Driven quantum transport on the nanoscale
• Irradiated graphene as a tunable Floquet topological insulator
• Tuning laser-induced bandgaps in graphene
• Dictionary between scattering matrix and Keldysh formalisms for quantum transport driven by time-periodic fields
• Materials design from non-equilibrium steady states: driven graphene as a tunable semiconductor with topological properties

Cited by in corpus (27)

• Light-induced emergent phenomena in 2D materials and topological materials
• Multiterminal Conductance of a Floquet Topological Insulator
• Out of equilibrium electrons and the Hall conductance of a Floquet topological insulator
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Microscopic theory for the light-induced anomalous Hall effect in graphene
• Occupation of topological Floquet bands in open systems
• Floquet interface states in illuminated three-dimensional topological insulators
• Floquet band structure of a semi-Dirac system
• One-way transport in laser-illuminated bilayer graphene: A Floquet isolator
• Magnetization signatures of light-induced quantum Hall edge states
• Quadratic band touching points and flat bands in two-dimensional topological Floquet systems
• Brillouin-Wigner Theory for Floquet Topological Phase Transitions in Spin-orbit Coupled Materials
• A computational study of two-terminal transport of Floquet quantum Hall insulators
• Topology and localization of a periodically driven Kitaev model
• Dynamical relaxation of correlators in periodically driven integrable quantum systems
• Quantum Control in Open and Periodically Driven Systems
• Quantum Hall effect in ac driven graphene: from half-integer to integer case
• Ballistic transport through irradiated graphene
• Robustness of quantized transport through edge states of finite length: Imaging current density in Floquet topological vs. quantum spin and anomalous Hall insulators
• Dynamics and Control of Edge States in Laser-driven Graphene Nanoribbons
• Transport through vertical graphene contacts under intense laser fields
• Floquet engineering of edge states in the presence of staggered potential and interactions
• Topological Floquet Flat Bands in Irradiated Alternating Twist Multilayer Graphene
• Low-frequency and Moiré Floquet engineering: a review
• Orbital magnetization of Floquet topological systems
• Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model
• Emergent long-range interaction and state-selective localization in a strongly driven $XXZ$ model