论文标题
高阶拓扑超导体的散装涡流对应关系
Bulk-Vortex Correspondence of Higher-Order Topological Superconductors
论文作者
论文摘要
手性拓扑超导体中的涡流以诱捕Majorana零模式而闻名，这是对其批量拓扑的签名响应。 In this work, we establish a similar bulk-vortex correspondence for two-dimensional $C_n$-protected class D higher-order topological superconductors, in which a quantum vortex will universally trap a pair of $C_n$-protected Majorana bound states with $\hat{z}$-directional angular momenta $J_z=0$ and $J_z=n/2$, respectively.可以通过独立于模型的贴片构造方法系统地得出这种异常涡流模式和高阶拓扑之间的一种有趣的一对一映射。作为概念的证明，我们提出了一个确切的可解决模型，以确认所提出的涡旋主要模式。我们的理论将涡流确立为超导体中高阶拓扑的前所未有的实验度量。
Vortices in chiral topological superconductors are known for trapping Majorana zero modes as a signature response to their bulk-state topologies. In this work, we establish a similar bulk-vortex correspondence for two-dimensional $C_n$-protected class D higher-order topological superconductors, in which a quantum vortex will universally trap a pair of $C_n$-protected Majorana bound states with $\hat{z}$-directional angular momenta $J_z=0$ and $J_z=n/2$, respectively. This intriguing one-to-one mapping between anomalous vortex modes and higher-order topology can be systematically derived through a model-independent patch construction approach. As a proof of concept, we present an exactly solvable model to confirm the proposed vortex Majorana modes. Our theory establishes vortices as an unprecedented experimental measure of higher-order topology in superconductors.
