论文标题
疾病对拓扑超导体中主要定位的影响：一种准经典方法
Effect of disorder on Majorana localization in topological superconductors: a quasiclassical approach
论文作者
论文摘要
二维拓扑超导体（TS）宿主手性少数模式（MMS）位于边界。在这项工作中，在准经典近似中，我们研究了障碍对MMS定位长度在二维自旋轨道（SO）耦合超导体中的影响。我们发现Majorana定位长度的非单调行为是无序力量的函数。在弱疾病下，主要的定位长度随障碍强度的增加而降低。将疾病散射时间降低到临界值$τ_c$以下，Majorana定位长度开始增加。临界散射时间取决于TS背后两种成分的相对大小：耦合和交换场。对于主导耦合，$τ_c$很小，反之亦然。
Two dimensional topological superconductors (TS) host chiral Majorana modes (MMs) localized at the boundaries. In this work, within quasiclassical approximation we study the effect of disorder on the localization length of MMs in two dimensional spin-orbit (SO) coupled superconductors. We find nonmonotonic behavior of the Majorana localization length as a function of disorder strength. At weak disorder, the Majorana localization length decreases with an increasing disorder strength. Decreasing the disorder scattering time below a critical value $τ_c$, the Majorana localization length starts to increase. The critical scattering time depends on the relative magnitudes of the two ingredients behind TS: SO coupling and exchange field. For dominating SO coupling, $τ_c$ is small and vice versa for the dominating exchange field.
