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 $\alpha \ne 0,1$.}

12 pages, 11 figures

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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