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Non-Abelian half-quantum vortices in 3P2 topological superfluids

Yusuke Masaki1,2,*, Takeshi Mizushima3, and Muneto Nitta1,4

  • 1Research and Education Center for Natural Sciences, Keio University, Hiyoshi 4-1-1, Yokohama, Kanagawa 223-8521, Japan
  • 2Department of Applied Physics, Graduate School of Engineering, Tohoku University, Sendai, Miyagi 980-8579, Japan
  • 3Department of Materials Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan
  • 4Department of Physics, Keio University, Hiyoshi 4-1-1, Japan

  • *yusuke.masaki.c1@tohoku.ac.jp

Phys. Rev. B 105, L220503 – Published 14 June, 2022

DOI: https://doi.org/10.1103/PhysRevB.105.L220503

Abstract

3P2 superfluids realized in neutron stars are the largest topological quantum matters in our universe. We establish the existence and stability of non-Abelian half-quantum vortices (HQVs) in 3P2 superfluids with strong magnetic fields. Using a self-consistent microscopic approach, we find that a singly quantized vortex is energetically destabilized into a pair of two non-Abelian HQVs owing to the strongly spin-orbit-coupled pairing. We find a topologically protected Majorana fermion on each HQV, thereby providing twofold non-Abelian anyons characterized by both Majorana fermions and a non-Abelian first homotopy group.

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