We propose the concept of a device based on a square-shaped sample of a two-dimensional second-order topological helical superconductor which hosts two zero-dimensional Majorana quasiparticles at the corners. The two zero-energy modes rely on particle-hole symmetry (PHS) and their spatial position can be shifted by rotating an in-plane magnetic field and tuning proximity-induced spin-singlet pairing. We consider an adiabatic cycle performed on the degenerate ground-state manifold and show that it realizes the braiding of the two modes whereby they accumulate a nontrivial statistical phase $\pi$ within one cycle. Alongside the PHS-ensured operator algebra, the fractional statistics confirms the Majorana nature of the zero-energy excitations. A schematic design for a possible experimental implementation of such a device is presented, which could be a step towards realizing non-Abelian braiding.

中文翻译：

---

在二阶拓扑超导体中编织马约拉纳角模式

我们提出了一种基于二维二阶拓扑螺旋超导体的正方形样本的设备的概念，该样本在角处包含两个零维的Majorana准粒子。这两个零能量模式依赖于粒子-孔对称性（PHS），并且它们的空间位置可以通过旋转面内磁场并调整邻近感应的自旋-单重配对来移动。我们考虑了在简并的基态流形上执行的绝热循环，并表明它实现了两种模式的编织，从而使它们积累了非平凡的统计相位$\pi$一个周期内。除PHS保证的算子代数外，分数统计还证实了零能量激发的Majorana性质。提出了这种设备可能的实验实现的示意图设计，这可能是实现非阿贝尔编织的一步。