论文标题

四极和八度拓扑超导体的动力构造

Dynamical construction of Quadrupolar and Octupolar topological superconductors

论文作者

Ghosh, Arnob Kumar, Nag, Tanay, Saha, Arijit

论文摘要

我们为工程师提出了一项三步定期驱动方案,以工程师二维〜(2D)floquet floquet Quadrupole超导体和三维〜(3D)Floquet octupole超导体主机托管零维Majoragan Corner Modes〜(MCMS),基于非规定的$ d $ -Wave $ -Wave-Wave-Wave uptercotity〜(MCMS)。值得注意的是,驱动的系统构思了四个阶段,只有$ 0 $ MCM,没有MCM,只有$π$ MCMS,以及常规$ 0 $和异常$π$ MCMS。为了避免分别表征$ 0 $和$π$ mcms的微妙问题,我们将定期的进化操作员分别在2D和3D中分别在2D和3D中进行动力不变的架构,即可以不清楚的是不同的较高拓扑阶段。

We propose a three-step periodic drive protocol to engineer two-dimensional~(2D) Floquet quadrupole superconductors and three-dimensional~(3D) Floquet octupole superconductors hosting zero-dimensional Majorana corner modes~(MCMs), based on unconventional $d$-wave superconductivity. Remarkably, the driven system conceives four phases with only $0$ MCMs, no MCMs, only anomalous $π$ MCMs, and both regular $0$ and anomalous $π$ MCMs. To circumvent the subtle issue of characterizing $0$ and $π$ MCMs separately, we employ the periodized evolution operator to architect the dynamical invariants, namely quadrupole and octupole motion in 2D and 3D, respectively, that can distinguish different higher order topological phases unambiguously.Our study paves the way for the realization of dynamical quadrupolar and octupolar topological superconductors.

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