论文标题

掺杂拓扑绝缘体中自旋和艾布里科索夫涡流之间的相互作用

Interaction between spin and Abrikosov vortices in doped topological insulators

论文作者

Kapranov, A. V., Akzyanov, R. S., Rakhmanov, A. L.

论文摘要

在$ e_u $表示中具有列列超导率的拓扑超导体中,可以具有不同类型的涡流。一个与粒子孔空间中的涡度有关,对应于Abrikosov涡流。另一种类型对应于自旋空间中的涡度,称为自旋涡流。我们研究Abrikosov涡流与自旋涡流的相互作用。我们使用Abrikosov和应变诱导的自旋涡流来得出样品的自由能,该旋转涡流使用Ginzburg-Landau方法进行两分量超导级参数。我们计算形成自旋涡流的临界应变。我们表明,自旋涡流和Abrikosov Vortex相互吸引,因此它们具有共同的核心。我们表明,在Abrikosov Vortex的公共涡流核心和任何类型的自旋涡旋附近,没有零能量状态(Majorana Fermions)。讨论了可能的实验实现。

In the topological superconductor with the nematic superconductivity in $E_u$ representation, it is possible to have different types of vortices. One is associated with the vorticity in the particle-hole space and corresponds to the Abrikosov vortex. Another type corresponds to the vorticity in the spin space and is called spin vortex. We study the interaction of the Abrikosov vortex with the spin vortices. We derive the free energy of the sample with the Abrikosov and the strain-induced spin vortices using the Ginzburg-Landau approach for the two-component superconducting order parameter. We calculate the critical strain at which the spin vortex is formed. We show that the spin vortex and the Abrikosov vortex attract to each other and, as a result, they have a common core. We show that there are no zero-energy states (Majorana fermions) localized near the common vortex core of the Abrikosov vortex and the spin vortex of any type. Possible experimental realization is discussed.

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