{ "id": "2408.02093", "version": "v1", "published": "2024-08-04T17:12:45.000Z", "updated": "2024-08-04T17:12:45.000Z", "title": "Floquet engineering of topological phase transitions in quantum spin Hall $α$-$T_{3}$ system", "authors": [ "Kok Wai Lee", "Mateo Jalen Andrew Calderon", "Ching Hua Lee", "Xiang-Long Yu", "Pei-Hao Fu", "Yee Sin Ang" ], "comment": "10 pages, 5 figures", "categories": [ "cond-mat.mes-hall", "cond-mat.mtrl-sci" ], "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 expected, 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 particle-hole symmetry. Our work highlights the significance of Floquet engineering in realizing new topological phases in the $\\alpha$-$T_{3}$ lattice.", "revisions": [ { "version": "v1", "updated": "2024-08-04T17:12:45.000Z" } ], "analyses": { "keywords": [ "quantum spin hall", "floquet engineering", "engineering topological phase transitions", "bulk topological band gap", "high-frequency time-periodic field" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }