弗洛奎特理论
平方根
物理
平方(代数)
超导电性
拓扑(电路)
凝聚态物理
量子力学
统计物理学
数学
几何学
组合数学
非线性系统
作者
Raditya Weda Bomantara
出处
期刊:Physical review
[American Physical Society]
日期:2022-08-24
卷期号:106 (6)
被引量:12
标识
DOI:10.1103/physrevb.106.l060305
摘要
Periodically driven (Floquet) phases are attractive due to their ability to host unique physical phenomena with no static counterparts. We propose a general approach in nontrivially devising a square-root version of existing Floquet phases, applicable both in noninteracting and in interacting setting. The resulting systems are found to yield richer physics that is otherwise absent in the original counterparts and is robust against parameter imperfection. These include the emergence of Floquet topological superconductors with arbitrarily many zero, $\ensuremath{\pi}$, and $\ensuremath{\pi}/2$ edge modes, as well as $4T$-period Floquet time crystals in disordered and disorder-free systems ($T$ being the driving period). Remarkably, our approach can be repeated indefinitely to obtain a ${2}^{n}\mathrm{th}$-root version of any periodically driven system, thus, allowing for the discovery and systematic construction of exotic Floquet phases.
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