Hinge mode dynamics of periodically driven higher-order Weyl semimetals

Abstract

We study the stroboscopic dynamics of hinge modes of a second-order topological material modeled by a tight-binding free fermion Hamiltonian on a cubic lattice in the intermediate drive frequency regime for both discrete (square pulse) and continuous (cosine) periodic drive protocols. We analyze the Floquet phases of this system and show that its quasienergy spectrum becomes almost gapless in the large drive amplitude regime at special drive frequencies. Away from these frequencies, the gapped quasienergy spectrum supports weakly dispersing Floquet hinge modes. Near them, these hinge modes penetrate into the bulk and eventually become indistinguishable from the bulk modes. We provide an analytic, albeit perturbative, expression for the Floquet Hamiltonian using Floquet perturbation theory (FPT) which explains this phenomenon and leads to analytic expressions of these special frequencies. We also show that in the large drive amplitude regime, the zero energy hinge modes corresponding to the static tight-binding Hamiltonian display qualitatively different dynamics at these special frequencies. We discuss possible local density of state measurement using a scanning tunneling microscope which can test our theory.

Final version: 18 pages 15 figures

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Cited by in corpus (11)

• Floquet Weyl semimetal phases in light-irradiated higher-order topological Dirac semimetals
• Generation of higher-order topological insulators using periodic driving
• Engineering anomalous Floquet Majorana modes and their time evolution in helical Shiba chain
• Generating many Majorana corner modes and multiple phase transitions in Floquet second-order topological superconductors
• Time evolution of Majorana corner modes in Floquet second-order topological superconductor
• Crystalline-electromagnetic responses of higher order topological semimetals
• Gapless higher-order topology and corner states in Floquet systems
• Floquet topological phases with time-reversal and space inversion symmetries and dynamical detection of topological charges
• Topological semimetal with coexisting nodal points and nodal lines
• Floquet second-order topological insulator in strained graphene
• Anti-higher-order Weyl semimetal