Floquet engineering of topological phase transitions in quantum spin Hall $\alpha$-$T_3$ system

Abstract

Floquet engineering of topological phase transitions driven by a high-frequency time-periodic field is a promising approach to realizing new topological phases of matter distinct from static states. Here, we theoretically investigate Floquet engineering topological phase transitions in the quantum spin Hall $\alpha$-$T_3$ system driven by an off-resonant circularly polarized light. In addition to the quantum spin (anomalous) Hall insulator phase with multiple helical (chiral) edge states, spin-polarized topological metallic phases are observed, where the bulk topological band gap of one spin sub-band overlaps with the other gapless spin sub-band. Moreover, with a staggered potential, the topological invariants of the system depend on whether the middle band is occupied because of the breaking of symmetry with respect to the center of energy-momentum plane. Our work highlights the significance of Floquet engineering in realizing new topological phases in $\alpha$-$T_3$ lattices.

12 pages, 6 figures

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• Floquet engineering spin triplet states in unconventional magnets
• Emergent topology of flat bands in a twisted bilayer $\alpha$-$T_3$ lattice
• Optically Controlled Topological Phases in the Deformed $\alpha -T_3$ Lattice
• Valley Gapless Semiconductor: Models and Applications
• Extended Haldane Model in The Dice Lattice: Multiple Flat-Band-Induced topological Transitions Revealed