Abstract
Although we know much about Floquet dynamics of pseudospin- systems, namely graphene, we here address the stroboscopic properties of a periodically kicked three-band fermionic system such as the lattice. This particular model provides an interpolation between graphene and dice lattice via the continuous tuning of the parameter from 0 to 1. In the case of dice lattice (), 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, the Dirac type, semi-Dirac type, gapless line, and/or 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 packets at stroboscopic times. We find a situation where absolute flat quasienergy bands lead to a complete dynamical localization of the wave packet. Additionally, we calculate the quasienergy spectrum numerically for the lattice. A periodic kick in a perpendicular (planar) direction breaks (preserves) the particle-hole symmetry for . Furthermore, it is also revealed that the dynamical localization of a wave packet does not occur at any intermediate .
4 More- Received 25 December 2020
- Revised 7 November 2021
- Accepted 9 November 2021
DOI:https://doi.org/10.1103/PhysRevB.104.174308
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