Floquet engineering of point-gapped topological superconductors

• URL: http://arxiv.org/abs/2501.12129v1
• Date: Tue, 21 Jan 2025 13:43:16 GMT
• Title: Floquet engineering of point-gapped topological superconductors
• Authors: Xiang Ji, Hao Geng, Naeem Akhtar, Xiaosen Yang,
• Abstract summary: We present the Floquet engineering approach for realizing point-gapped topological superconductors. We show that a point gap hosting robust Majorana edge modes emerges at the overlap of Floquet bands with opposite winding numbers. Our work offers a new pathway for exploring the point-gapped topological phases in non-Hermitian systems.
• Score: 7.1952692603977795
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• Abstract: Non-Hermitian systems exhibit two distinct topological classifications based on their gap structure: line-gap and point-gap topologies. Although point-gap topology is intrinsic to non-Hermitian systems, its systematic construction remains a challenge. Here, we present the Floquet engineering approach for realizing point-gapped topological superconductors. By combining Floquet theory with particle-hole symmetry (PHS), we show that a point gap hosting robust Majorana edge modes emerges at the overlap of Floquet bands with opposite winding numbers. In the thermodynamic limit, even weak non-Hermiticity opens a point gap from a gapless spectrum, driving a topological phase transition and breaking non-Bloch parity-time ($\mathcal{PT}$) symmetry. This transition is accompanied by the appearance of the Floquet $Z_2$ skin effect. Furthermore, the point-gapped topological phase and the non-Bloch $\mathcal{PT}$ symmetry exhibit size-dependent phenomena driven by the critical skin effect. Our work offers a new pathway for exploring the point-gapped topological phases in non-Hermitian systems.

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