Planar magnetic texture on the surface of a topological insulator
arXiv:2110.14352 · doi:10.1103/PhysRevB.106.035134
Abstract
We study the planar magnetic textures in an insulating magnetic film coupled to the Dirac surface state of a topological insulator. It is shown that the radial vortex with winding number leads to the confinement of Dirac states, where an exact mapping to the Schrödinger equation of a two-dimensional hydrogen atom is found. The fully spin polarized zero energy bound state resembles the zeroth Landau level of Dirac electrons in a uniform out-of-plane magnetic field. Interestingly, when the hybrid system is proximity coupled to an -wave superconductor, the existence of Majorana zero modes at Abrikosov vortex depends only on the relative value of the magnetic exchange coupling and the pairing strength. We conclude with a brief discussion on the physical realization with such magnetic textures.
arXiv comment8 pages, 6 figures with supplementary material
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