Floquet engineering of low-energy dispersions and dynamical localization in a periodically kicked three-band system

Abstract

Much having learned about Floquet dynamics of pseudospin-$1/2$ system namely, graphene, we here address the stroboscopic properties of a periodically kicked {three-band fermionic system such as $\alpha$-T${}_3$ lattice. This particular model provides an interpolation between graphene and dice lattice via the continuous tuning of the parameter $\alpha$ from 0 to 1.} In the case of dice lattice ($\alpha =1$), we reveal that one can, in principle, engineer various types of low energy dispersions around some specific points in the Brillouin zone by tuning the kicking parameter in the Hamiltonian along a particular direction. Our analytical analysis shows that one can experience different quasienergy dispersions for example, Dirac type, semi-Dirac type, gapless line, absolute flat quasienergy bands, depending on the specific values of the kicking parameter. Moreover, we numerically study the dynamics of a wave packet in dice lattice. The quasienergy dispersion allows us to understand the instantaneous structure of wave packet at stroboscopic times. We find a situation where absolute flat quasienergy bands lead to a complete dynamical localization of the wave packet. {Aditionally, we calculate the quasienergy spectrum numerically for $\alpha$-T${}_3$ lattice. A periodic kick in a perpendicular (planar) direction breaks (preserves) the particle-hole symmetry for $0<\alpha <1$. Furthermore, it is also revealed that the dynamical localization of wave packet does not occur at any intermediate $\alpha \ne 0,1$.}

arXiv comment12 pages, 11 figures

References in corpus (91)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Electronic transport in two dimensional graphene
• Photonic Floquet Topological Insulators
• Experimental realisation of the topological Haldane model
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Photovoltaic Hall effect in graphene
• Observation of Floquet-Bloch states on the surface of a topological insulator
• Topological characterization of periodically-driven quantum systems
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Electronic Properties of Graphene in a Strong Magnetic Field
• Floquet Time Crystals
• On the phase structure of driven quantum systems
• Light-induced anomalous Hall effect in graphene
• Floquet Topological Insulators for Sound
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Observation of photonic anomalous Floquet Topological Insulators
• Floquet topological insulators
• Experimental reconstruction of the Berry curvature in a topological Bloch band
• Aharonov-Bohm cages in two-dimensional structures
• Topologically protected acoustic helical edge states and interface states in strongly coupled metamaterial ring lattices
• Floquet-Bloch theory and topology in periodically driven lattices
• Floquet Spectrum and Transport Through an Irradiated Graphene Ribbon
• Irradiated graphene as a tunable Floquet topological insulator
• Periodic Table for Floquet Topological Insulators
• Floquet chiral edge states in graphene
• Topological singularities and the general classification of Floquet-Bloch systems
• Nearly flat band with Chern number C=2 on the dice lattice
• Pre-thermal phases of matter protected by time-translation symmetry
• Floquet Fractional Chern Insulator in Doped Graphene
• Floquet generation of Majorana end modes and topological invariants
• From dia- to paramagnetic orbital susceptibility of Dirac cones
• Classification of Interacting Topological Floquet Phases in One Dimension
• Classification of topological phases in periodically driven interacting systems
• Topology and Broken Symmetry in Floquet Systems
• Transport signatures of Floquet Majorana fermions in driven topological superconductors
• Exploring dynamic localization with a Bose-Einstein condensate
• Phase Structure of 1d Interacting Floquet Systems I: Abelian SPTs
• Massless Dirac-Weyl Fermions in a T_3 Optical Lattice
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Merging of Dirac points and Floquet topological transitions in AC driven graphene
• Generating Many Majorana Modes via Periodic Driving: A Superconductor Model
• Observation of anomalous π modes in photonic Floquet engineering
• Barrier transmission of Dirac-like pseudospin-one particles
• Hierarchy of Floquet gaps and edge states for driven honeycomb lattices
• Radiation effects on the electronic structure of bilayer graphene
• Enhancement and sign change of magnetic correlations in a driven quantum many-body system
• Topological Floquet Phases in Driven Coupled Rashba Nanowires
• Hall quantization and optical conductivity evolution with variable Berry phase in $\alpha$-$T_3$ model
• Counter-propagating edge modes and topological phases of a kicked quantum Hall system
• Magnetic properties of the $\alpha$-$T_3$ model: magneto-optical conductivity and the Hofstadter butterfly
• Floquet topological phases with symmetry in all dimensions
• Floquet Topological Order in Interacting Systems of Bosons and Fermions
• Phase Diagram of the Bose-Hubbard Model with T_3 symmetry
• Frequency-dependent polarizability, plasmons, and screening in the 2D pseudospin-1 dice lattice
• Photoinduced valley and electron-hole symmetry breaking in $\alpha$-$T_3$ lattice: The role of a variable Berry phase
• Magnetotransport properties of the $\alpha$-T${}_3$ model
• Floquet topological phase transition in $\alpha$-${\mathcal{T}}_3$ lattice
• Out of equilibrium higher-order topological insulator: Floquet engineering and quench dynamics
• Dynamical localization in a chain of hard core bosons under a periodic driving
• Floquet Edge States with Ultracold Atoms
• Floquet topological semimetal phases of an extended kicked Harper model
• Resonantly Tunable Majorana Polariton in a Microwave Cavity
• Hierarchy of higher-order Floquet topological phases in three dimensions
• Majorana edge modes in the Kitaev model
• Unpaired Floquet Majorana fermions without magnetic fields
• Valley-polarized magnetoconductivity and particle-hole symmetry breaking in a periodically modulated $\alpha$-${\mathcal{T}}_3$ lattice
• Floquet generation of Second Order Topological Superconductor
• Rashba effect induced localization in quantum networks
• Frequency dependent magneto-optical conductivity in the generalized $\alpha -T_3$ model
• Bulk-Edge correspondence for two-dimensional Floquet topological insulators
• Dynamical synchronization transition in interacting electron systems
• Unconventional phases in a Haldane model of dice lattice
• Rashba effect in quantum networks
• Effects of periodic kicking on dispersion and wave packet dynamics in graphene
• Floquet Engineering in Quantum Chains
• Dynamics of a quasiparticle in the $\alpha$-T${}_3$ model: Role of pseudospin polarization and transverse magnetic field on \textbf{\textit{zitterbewegung}}
• Floquet engineering of multi-orbital Mott insulators: applications to orthorhombic titanates
• Vortex ordering in fully-frustrated superconducting systems with dice lattice
• Floquet Second Order Topological Superconductor based on Unconventional Pairing
• RKKY interaction in a doped pseudospin-1 fermion system at finite temperature
• Dynamics of Localization Phenomena for Hardcore Bosons in Optical Lattices
• Berryogenesis: self-induced Berry flux and spontaneous non-equilibrium magnetism
• Phase Transition in the periodically pulsed Dicke Model
• Strongly Disordered Floquet Topological Systems
• Effect of magnetic field and chemical potential on the RKKY interaction in the $\alpha$-${\mathcal{T}}_3$ lattice
• Magnetoplasmons for the $\alpha$-T${}_3$ model with filled Landau levels
• Holographic Floquet states II: Floquet condensation of vector mesons in nonequilibrium phase diagram
• Floquet topological phase transitions in a kicked Haldane-Chern insulator
• Geometrical quench and dynamical quantum phase transition in the $\alpha -T_3$ lattice
• Periodic and aperiodic dynamics of flat bands in diamond-octagon lattice

Cited by in corpus (16)

• Probing Topological signatures in an optically driven $\alpha$-$T_3$ Lattice
• Scaling laws of the out-of-time-order correlators at the transition to the spontaneous $\mathcal{P}\mathcal{T}$-symmetry breaking in a Floquet system
• Emergent symmetries in prethermal phases of periodically driven quantum systems
• Andreev reflection of massive pseudospin-1 fermions
• Effect of magnetic field on the electronic properties of an $\alpha$-$T_3$ ring
• Anomalous transport in pseudospin-1 fermions
• Holstein polaron in a pseudospin-$1$ quantum spin Hall system: first and second order topological phase transitions
• Orbital magnetization senses the topological phase transition in a spin-orbit coupled $\alpha$-$T_3$ system
• Zigzag dice lattice ribbons: Distinct edge morphologies and structure-spectrum correspondences
• An experimental scheme for determining the Berry phase in two-dimensional quantum materials with a flat band
• Fano resonances for tilted linear and quadratic band touching dispersions in a harmonically driven potential well
• Anomalous wave-packet transport on boundaries of Floquet topological systems
• Fano resonances in tilted Weyl semimetals in an oscillating quantum well
• Quantum dynamics of a spin model with an extensive degeneracy
• Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain
• Finite-size scaling properties of classical random walk on various two-dimensional lattices