手征p波超导体中非阿贝尔涡旋的Aharonov-Casher干涉测量
Proposed Aharonov-Casher interference measurement of non-Abelian vortices in chiral p-wave superconductors
摘要：
我们提出了一个基于Aharonov-Casher效应的双路涡旋干涉实验，用于探测手征p波超导体中涡旋的非阿贝尔性质。该效应是基于观察涡流干涉图案后，封闭一个有限的外部可控的幅度内的干扰path. We预测，当干扰的涡流封闭在其路径中的相同的涡流的奇数，干涉图案消失，只有非阿贝尔涡流。当配对涉及两个不同的自旋物种时，我们导出了半量子和全量子涡旋之间的互统计，并表明，值得注意的是，我们的预测仍然适用于一个全量子涡旋包围一个半量子涡旋在其路径上的情况，我们讨论了实验相关的条件下，这些效果可以观察到。
英文摘要：
We propose a two-path vortex interferometry experiment based on the Aharonov-Casher effect for detecting the non-Abelian nature of vortices in a chiral p-wave superconductor. The effect is based on observing vortex interference patterns upon enclosing a finite charge of externally controllable magnitude within the interference path. We predict that when the interfering vortices enclose an odd number of identical vortices in their path, the interference pattern disappears only for non-Abelian vortices. When pairing involves two distinct spin species, we derive the mutual statistics between half quantum and full quantum vortices and show that, remarkably, our predictions still hold for the situation of a full quantum vortex enclosing a half quantum vortex in its path. We discuss the experimentally relevant conditions under which these effects can be observed.
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