Non-Abelian Half-Quantum Vortices in ${}^3{P}_2$ Topological Superfluids

Abstract

${}^3{P}_2$ 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 ${}^3{P}_2$ 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 two-fold non-Abelian anyons characterized by both Majorana fermions and a non-Abelian first homotopy group.

6 pages, 4 figures

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Cited by in corpus (7)

• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Proximity effects of vortices in neutron ${}^3{P}_2$ superfluids in neutron stars: Vortex core transitions and covalent bonding of vortex molecules
• Josephson currents in neutron stars
• Strongly interacting matter in extreme magnetic fields
• Exploring ${}^3{P}_0$ Superfluid in Dilute Spin-Polarized Neutron Matter
• Neutrino zeromodes on electroweak strings in light of topological insulators
• Emergent chirality and superfluidity of parity-doubled baryons in neutron stars