Floquet engineering of twisted double bilayer graphene

Abstract

Motivated by the recent experimental realization of twisted double bilayer graphene (TDBG) samples we study, both analytically and numerically, the effects of circularly polarized light propagating in free space and confined into a waveguide on the band structure and topological properties of these systems. These two complementary Floquet protocols allow us to selectively tune different parameters of the system by varying the intensity and the frequency of the light. For the drive protocol in free space, in the high-frequency regime, we find that in TDBG with AB/BA stacking, we can selectively close the zone-center quasienergy gaps around one valley while increasing the gaps near the opposite valley by tuning the parameters of the drive. In TDBG with AB/AB stacking, a similar effect can be obtained upon the application of a perpendicular static electric field. Furthermore, we study the topological properties of the driven system in different settings, provide accurate effective Floquet Hamiltonians, and show that relatively strong drives can generate flat bands. On the other hand, longitudinal light confined into a waveguide couples to the components of the interlayer hopping that are perpendicular to the TDBG sheet, allowing for selective engineering of the bandwidth of Floquet zone center quasienergy bands without breaking the symmetries of the static system.

arXiv comment12 pages, 12 figures

References in corpus (79)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Coupled spin and valley physics in monolayers of MoS2 and other group-VI dichalcogenides
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Moire bands in twisted double-layer graphene
• Valley contrasting physics in graphene: magnetic moment and topological transport
• Tuning superconductivity in twisted bilayer graphene
• The Valley Hall Effect in MoS2 Transistors
• Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
• Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
• Photovoltaic Hall effect in graphene
• Moiré Excitons in Van der Waals Heterostructures
• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Signatures of moiré-trapped valley excitons in MoSe${}_2$/WSe${}_2$ heterobilayers
• The Magnus expansion and some of its applications
• Valley Dependent Optoelectronics from Inversion Symmetry Breaking
• Flat Bands in Slightly Twisted Bilayer Graphene
• Resonantly hybridised excitons in moiré superlattices in van der Waals heterostructures
• Light-induced anomalous Hall effect in graphene
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Detecting Topological Currents in Graphene Superlattices
• High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
• Electric Field Tunable Correlated States and Magnetic Phase Transitions in Twisted Bilayer-Bilayer Graphene
• Continuum Model of the Twisted Bilayer
• Moiré excitons: from programmable quantum emitter arrays to spin-orbit coupled artificial lattices
• Valley-selective optical Stark effect in monolayer WS2
• Lattice relaxation and energy band modulation in twisted bilayer graphenes
• Dual-gated bilayer graphene hot electron bolometer
• Generation and detection of pure valley current by electrically induced Berry curvature in bilayer graphene
• Cascade of electronic transitions in magic-angle twisted bilayer graphene
• Light-field driven currents in graphene
• Nearly Flat Chern Bands in Moiré Superlattices
• Gate-tunable Topological Valley Transport in Bilayer Graphene
• Topological Exciton Bands in Moiré Heterojunctions
• Effective Hamiltonians, prethermalization and slow energy absorption in periodically driven many-body systems
• Brillouin-Wigner theory for high-frequency expansion in periodically driven systems: Application to Floquet topological insulators
• Dynamic band structure tuning of graphene moiré superlattices with pressure
• Effective Hamiltonians for periodically driven systems
• Pressure dependence of the magic twist angle in graphene superlattices
• Ferromagnetic Mott State in Twisted Graphene Bilayers at the Magic Angle
• Theory of correlated insulating behaviour and spin-triplet superconductivity in twisted double bilayer graphene
• Flatbands in twisted double bilayer graphene
• Band structure and topological property of twisted double bilayer graphenes
• Dissipative Floquet Topological Systems
• Microscopic theory for the light-induced anomalous Hall effect in graphene
• Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
• Unconventional Quantum Hall Effect and Tunable Spin Hall Effect in MoS2 Trilayers
• Accurate tight-binding and continuum models for the $\pi$ bands of bilayer graphene
• Moiré Flat Bands in Twisted Double Bilayer Graphene
• Large, valley-exclusive Bloch-Siegert shift in monolayer WS2
• Floquet prethermalization and regimes of heating in a periodically driven, interacting quantum system
• Hierarchy of Floquet gaps and edge states for driven honeycomb lattices
• Phonon-derived ultrafast relaxation of spin-valley polarized states in MoS_{2}
• Higher-order Floquet topological phases with corner and bulk bound states
• Electromagnetic coupling in tight-binding models for strongly correlated light and matter
• Beyond the Quantum Adiabatic Approximation: Adiabatic Perturbation Theory
• Generation of valley polarized current in bilayer graphene
• Effective Hamiltonians for fastly driven many-body lattice systems
• Non-adiabatic breaking of topological pumping
• Floquet-Engineered Valleytronics in Dirac Systems
• Multiphoton interband excitations of quantum gases in driven optical lattices
• Topological Floquet Engineering of Twisted Bilayer Graphene
• Accurate effective Hamiltonians via unitary flow in Floquet space
• Floquet Perturbation Theory: Formalism and Application to Low-Frequency Limit
• Pressure Induced Compression of Flatbands in Twisted Bilayer Graphene
• General continuum model for twisted bilayer graphene and arbitrary smooth deformations
• Light-induced anomalous Hall effect in massless Dirac fermion systems and topological insulators with dissipation
• Effective Floquet Hamiltonian in the low-frequency regime
• Photo-thermal response in dual-gated bilayer graphene
• Universal fluctuations of Floquet topological invariants at low frequencies
• Effective Floquet Hamiltonians for periodically-driven twisted bilayer graphene
• Floquet engineering of interlayer couplings: Tuning the magic angle of twisted bilayer graphene at the exit of a waveguide
• Brillouin-Wigner Theory for Floquet Topological Phase Transitions in Spin-orbit Coupled Materials
• Linear Response Theory and Optical Conductivity of Floquet Topological Insulators
• Dynamical band gap tuning in Weyl semi-metals by intense elliptically polarized normal illumination and its application to $8-Pmmn$ borophene
• Analogue of Hamilton-Jacobi theory for the time-evolution operator
• Perturbation theory for quasienergy (Floquet) solutions in the low-frequency regime of the oscillating electric field
• Dynamical Quantum Anomalous Hall Effect in Strong Optical Fields
• Method for finding the exact effective Hamiltonian of time driven quantum systems
• Quantum noise detects Floquet topological phases

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• Why the first magic-angle is different from others in twisted graphene bilayers: interlayer currents, kinetic and confinement energy and wavefunction localization
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• A primer on twistronics: A massless Dirac fermion's journey to moiré patterns and flat bands in twisted bilayer graphene
• Tuning of Bilayer Graphene Heterostructure by Horizontally Incident Circular Polarized Light
• Optical Control of Slow Topological Electrons in Moiré Systems
• Light driven magnetic transitions in transition metal dichalcogenide heterobilayers
• Floquet Engineering of Lie Algebraic Quantum Systems
• Band structure and band topology in twisted homotrilayer transition metal dichalcogenides
• Floquet Fractional Chern Insulators and Competing Phases in Twisted Bilayer Graphene
• Topological Floquet Flat Bands in Irradiated Alternating Twist Multilayer Graphene
• Floquet Hofstadter butterfly in trilayer graphene with a twisted top layer
• Multiple Floquet Chern insulator phases in the spin-charge coupled triangular-lattice ferrimagnet: Crucial role of higher-order terms in the high-frequency expansion
• Breakdown of boundary criticality and exotic topological semimetals in $\mathcal{P}\mathcal{T}$-invariant systems
• Electronic states bound by repulsive potentials in graphene irradiated by a circularly polarized electromagnetic field
• Low-frequency and Moiré Floquet engineering: a review
• Localized Floquet states in gated bilayer graphene induced by a focused optical beam with orbital angular momentum
• Photo-induced Non-collinear Interlayer RKKY Coupling in Bulk Rashba Semiconductors
• Time-resolved ARPES and optical transport properties of irradiated twisted bilayer graphene in steady-state
• Semimetals without correspondence between the topological charge of nodal line/surface and Fermi arc
• Intervalley Band Crossing and Transition of Fractional Chern Insulators in Floquet Twisted Bilayer MoTe${}_2$
• Floquet engineering and non-equilibrium topological maps in twisted trilayer graphene