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

Lakpa Tamang, Tanay Nag, and Tutul Biswas
Phys. Rev. B 104, 174308 – Published 29 November 2021

Abstract

Although we know much about Floquet dynamics of pseudospin-1/2 systems, namely graphene, we here address the stroboscopic properties of a periodically kicked three-band fermionic system such as the αT3 lattice. This particular model provides an interpolation between graphene and dice lattice via the continuous tuning of the parameter α from 0 to 1. In the case of dice lattice (α=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, 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 αT3 lattice. A periodic kick in a perpendicular (planar) direction breaks (preserves) the particle-hole symmetry for 0<α<1. Furthermore, it is also revealed that the dynamical localization of a wave packet does not occur at any intermediate α0,1.

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  • Received 25 December 2020
  • Revised 7 November 2021
  • Accepted 9 November 2021

DOI:https://doi.org/10.1103/PhysRevB.104.174308

©2021 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Lakpa Tamang1, Tanay Nag2,*, and Tutul Biswas1,†

  • 1Department of Physics, University of North Bengal, Raja Rammohunpur 734013, India
  • 2Institut für Theorie der Statistischen Physik, RWTH Aachen University, 52056 Aachen, Germany

  • *tnag@physik.rwth-aachen.de
  • tbiswas@nbu.ac.in

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Issue

Vol. 104, Iss. 17 — 1 November 2021

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