Majorana fermions can be realized as quasiparticles in topological superconductors, with potential applications in topological quantum computing. Recently, lattices of magnetic adatoms deposited on the surface of $s$-wave superconductors—Shiba lattices—have been proposed as a new platform for topological superconductivity. These systems possess the great advantage that they are accessible via scanning-probe techniques and thus enable the local manipulation and detection of Majorana modes. Using a nonequilibrium Green's function technique we demonstrate that the topological Majorana edge modes of nanoscopic Shiba islands display universal electronic and transport properties. Most remarkably, these Majorana modes possess a quantized charge conductance that is proportional to the topological Chern number, $\mathcal{C}$, and carry a supercurrent whose chirality reflects the sign of $\mathcal{C}$. These results establish nanoscopic Shiba islands as promising components in future topology-based devices.

中文翻译：

---

手性马约拉那边缘模式下的定量电荷传输

Majorana费米子可以在拓扑超导体中实现为准粒子，在拓扑量子计算中具有潜在的应用。近来，磁性吸附原子的晶格沉积在硅的表面上。$s$波浪超导体（Shiba晶格）已被提议作为拓扑超导的新平台。这些系统具有很大的优势，即可以通过扫描探针技术进行访问，因此可以本地操作和检测Majorana模式。使用非平衡格林函数技术，我们证明了纳米Shiba岛的拓扑Majorana边缘模式显示通用的电子和传输特性。最引人注目的是，这些Majorana模式具有与拓扑Chern数成比例的量化电荷电导，$\mathcal{C}$，并携带手征反映了征兆的超流 $\mathcal{C}$。这些结果将纳米Shiba岛确立为未来基于拓扑的设备中很有希望的组件。