Converting $PT$-Symmetric Topological Classes by Floquet Engineering

• URL: http://arxiv.org/abs/2504.14846v1
• Date: Mon, 21 Apr 2025 03:58:06 GMT
• Title: Converting $PT$-Symmetric Topological Classes by Floquet Engineering
• Authors: Ming-Jian Gao, Jun-Hong An,
• Abstract summary: We propose a scheme to control and interconvert the $PT$-symmetric topological classes by Floquet engineering.<n>We find that it is the breakdown of the $mathbbZ$ gauge, induced by the $pi$ phase difference between different hopping rates, that leads to such an interconversion.<n>In contrast to conventional Floquet topological phases, our result provides a way to realize exotic topological phases without changing symmetries.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Going beyond the conventional classification rule of Altland-Zirnbauer symmetry classes, $PT$ symmetric topological phases are classified by $(PT)^2=1$ or $-1$. The interconversion between the two $PT$-symmetric topological classes is generally difficult due to the constraint of $(PT)^2$. Here, we propose a scheme to control and interconvert the $PT$-symmetric topological classes by Floquet engineering. We find that it is the breakdown of the $\mathbb{Z}_2$ gauge, induced by the $\pi$ phase difference between different hopping rates, by the periodic driving that leads to such an interconversion. Relaxing the system from the constraint of $(PT)^2$, rich exotic topological phases, e.g., the coexisting $PT$-symmetric first-order real Chern insulator and second-order topological insulators not only in different quasienergy gaps, but also in one single gap, are generated. In contrast to conventional Floquet topological phases, our result provides a way to realize exotic topological phases without changing symmetries. It enriches the family of topological phases and gives an insightful guidance for the development of multifunctional quantum devices.

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