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Interaction between spin and Abrikosov vortices in doped topological insulators

A. V. KapranovR. S. AkzyanovA. L. Rakhmanov
Dec 2022
摘要
In the topological superconductor with the nematic superconductivity in $E_u$representation, it is possible to have different types of vortices. One isassociated with the vorticity in the particle-hole space and corresponds to theAbrikosov vortex. Another type corresponds to the vorticity in the spin spaceand is called spin vortex. We study the interaction of the Abrikosov vortexwith the spin vortices. We derive the free energy of the sample with theAbrikosov and the strain-induced spin vortices using the Ginzburg-Landauapproach for the two-component superconducting order parameter. We calculatethe critical strain at which the spin vortex is formed. We show that the spinvortex and the Abrikosov vortex attract to each other and, as a result, theyhave a common core. We show that there are no zero-energy states (Majoranafermions) localized near the common vortex core of the Abrikosov vortex and thespin vortex of any type. Possible experimental realization is discussed.
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