通过(d+id'$)波超导体中的涡旋束缚态探测手性

Soma Yoshida, Yukio Tanaka, Alexander A. Golubov, Shu-Ichiro Suzuki
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引用次数: 0

摘要

我们提出了一种通过分析涡旋核心的局域态密度(LDOS)来探测($d_{zx}+i \chid_{yz}$)波超导体的手性$\chi$的方法。利用准经典艾伦伯格理论,我们研究了量子涡旋垂直穿透表面的半无限超导体中的LDOS。我们发现,$m\mathrm{sgn}[\chi]$ 完全改变了核心-表面交汇处的 LDOS。值得注意的是,当表面更脏时,$\chi = 1$ 和$\chi = -1$ 状态的 LDOS 差异会变得更明显,这意味着我们不需要密切关注样品的表面质量。这两种状态之间的差异来自于在核心-表面交汇处诱导的次主导库珀对的对称性:即次主导 $s$ 波库珀对是否存在。由于这种现象在($d_{zx}+i \chi d_{yz}$)波超导体中的独特性质,人们可以通过扫描隧道光谱实验等方法证明($d_{zx}+i \chi d_{yz}$)波超导的实现并确定其手性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Chirality Detection through Vortex Bound States in ($d+id'$)-Wave Superconductor
We present a method for detecting the chirality $\chi$ of a ($d_{zx}+i \chi d_{yz}$)-wave superconductor through the analysis of the local density of states (LDOS) at the vortex core. Employing the quasiclassical Eilenberger theory, we examine the LDOS in a semi-infinite superconductor with a quantum vortex penetrating the surface perpendicularly. We show that $\mathrm{sgn}[\chi]$ changes completely the LDOS at the core-surface intersection. Remarkably, the difference between LDOS for the $\chi = 1$ and $\chi = -1$ states becomes more prominent when the surface is dirtier, meaning that one does not need to pay close attention to the surface quality of the sample. The difference between these two states arises from the symmetry of the subdominant Cooper pairs induced at the core-surface intersection: whether the subdominant $s$-wave Cooper pairs are present or not. Due to the unique nature of this phenomenon in the ($d_{zx}+i \chi d_{yz}$)-wave superconductor, one can potentially demonstrate the realization of the ($d_{zx}+i \chi d_{yz}$)-wave superconductivity and determine its chirality by, for instance, through scanning tunnel spectroscopy experiments.
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