Effective Theory of Floquet Topological Transitions
arXiv:1406.1490 · doi:10.1103/PhysRevLett.113.236803
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 , 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
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- Emergent conservation in Floquet dynamics of integrable non-Hermitian models
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- Dynamical localization and slow thermalization in a class of disorder-free periodically driven one-dimensional interacting systems
- 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
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- Transport through vertical graphene contacts under intense laser fields
- Floquet engineering of edge states in the presence of staggered potential and interactions
- Transport properties of vertical heterostructures under light irradiation
- Topological Floquet Flat Bands in Irradiated Alternating Twist Multilayer Graphene
- Measurement-induced phase transition in periodically driven free-fermionic systems
- Optical conductivity of a topological system driven using a realistic pulse
- Floquet topological phases with time-reversal and space inversion symmetries and dynamical detection of topological charges
- Floquet Möbius topological insulators
- Breakdown of boundary criticality and exotic topological semimetals in -invariant systems
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- Localized Floquet states in gated bilayer graphene induced by a focused optical beam with orbital angular momentum
- Low-frequency and Moiré Floquet engineering: a review
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