Majorana bound states (MBSs) are a promising candidate
for a realization of topological quantum computer
and memory, which uses non-Abelian anyons to encode
and manipulate quantum information. Since Kitaev's
toy model for creating MBSs using the unpaired sites at
the ends of a spinless p-wave superconducting wire, it
has been shown that a conventional s-wave superconductor
with spin-orbit coupling (SOC) subject to Zeeman or
proximity-induced exchange field has effective p-wave
pairing and thus can also support these nonlocal quasiparticles. In systems lacking an extrinsic SOC, an
effective SOC can be provided through a nonuniform
magnetic texture or field. Here, we explore stabilization of MBSs through a proximity effect with
a noncollinear ferromagnet supporting skyrmions. Skyrmions can be easily manipulated via currents or temperature gradients thus providing means for braiding and manipulation of MBSs. In particular, we demonstrate how a nonabelian statistics of MBSs can be revealed by moving proximity coupled skyrmions in a vicinity of a tri-junction with different superconducting phases.
Alexey Kovalev, "Stabilization and control of Majorana bound states with skyrmions (Conference Presentation)," Proc. SPIE 10357, Spintronics X, 103572O (Presented at SPIE Nanoscience + Engineering: August 09, 2017; Published: 29 September 2017); https://doi.org/10.1117/12.2275060.5593164197001.
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