Interaction-Induced Higher-Order Topological Insulator via Floquet Engineering

• URL: http://arxiv.org/abs/2503.14516v1
• Date: Fri, 14 Mar 2025 02:49:43 GMT
• Title: Interaction-Induced Higher-Order Topological Insulator via Floquet Engineering
• Authors: Chun-Ping Su, Zhao-Fan Cai, Tao Liu,
• Abstract summary: We extend previous studies by investigating interaction-induced higher-order topological phases through Floquet engineering.<n>We demonstrate the emergence of interaction-induced normal Floquet second-order topological corner states for doublons from a trivial phase.<n>We reveal an interaction-induced anomalous Floquet second-order topological phase, where in-gap corner states of doublons emerge within the $pi/T$ gap.
• Score: 2.065269712285607
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Higher-order topological insulators have attracted significant interest in both static single-particle and many-body lattice systems. While periodically driven (Floquet) higher-order topological phases have been explored at the single-particle level, the role of interactions in such systems remains less understood. In this paper, we extend previous studies by investigating interaction-induced higher-order topological phases through Floquet engineering. To achieve this, we construct an extended Bose-Hubbard model on a square lattice subjected to periodic driving. We demonstrate the emergence of interaction-induced normal Floquet second-order topological corner states for doublons (i.e., bound boson pairs) from a trivial phase, which exhibit robustness against disorder. Notably, beyond the normal phase, we reveal an interaction-induced anomalous Floquet second-order topological phase, where in-gap corner states of doublons emerge within the $\pi/T$ gap ($T$ being the driving period). Our model, accessible with state-of-the-art ultracold atom techniques, provides a platform for realizing interaction-driven higher-order topological phases uniquely enabled by periodic driving, with no direct counterparts in static or single-particle systems.

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