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Skyrmion spin texture in ferromagnetic semiconductor–superconductor heterostructures

Kristofer Björnson, Annica M. Black-Schaffer

DOI 10.1103/PhysRevB.89.134518 · Physical Review B

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Abstract

We provide a derivation of a spin Skyrmion number classification for two-dimensional topological superconductors constructed from ferromagnetic and Rashba spin-orbit coupled semiconductor–superconductor heterostructures. We show that in the nontrivial topological phase, characterized by a nonzero Chern number, there is always a topological spin texture in the occupied bands represented by a Skyrmion number. The Skyrmion number has the advantage of being both physically intuitive and directly measurable using spin-sensitive band structure imaging techniques. In addition, we show that the Skyrmion classification can be extended to the equivalent one-dimensional topological superconductors.

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