Microscopic description of axisymmetric vortices in ${}^3{P}_2$ superfluids

Abstract

We study quantized vortices in ${}^3{P}_2$ superfluids using a microscopic theory for the first time. The theory is based on the Eilenberger equation to determine the order parameters and the Bogoliubov-de Gennes (BdG) equation to obtain the eigenenergies and the core magnetization. Within axisymmetric vortex configurations, we find several stable and metastable vortex configurations which depend on the strength of a magnetic field, similar to a $v$ vortex and $o$ vortex in ${}^3$He superfluids. We demonstrate that the $o$ vortex is the most stable axisymmetric vortex in the presence of a strong magnetic field, and we find two zero-energy Majorana fermion bound states in the $o$-vortex core. We show that the profiles of the core magnetization calculated using the BdG equation are drastically different from those calculated using only the order parameter profiles known before.

15 pages, 8 figures

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• Non-Abelian Half-Quantum Vortices in ${}^3{P}_2$ Topological Superfluids
• Coexistence phase of ${}^1{S}_0$ and ${}^3{P}_2$ superfluids in neutron stars
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Spin-polarized phases of ${}^3{P}_2$ superfluids in neutron stars
• Core structures of vortices in Ginzburg-Landau theory for neutron ${}^3{P}_2$ superfluids
• Proximity effects of vortices in neutron ${}^3{P}_2$ superfluids in neutron stars: Vortex core transitions and covalent bonding of vortex molecules
• Alice meets Boojums in neutron stars: vortices penetrating two-flavor quark-hadron continuity
• Triplet-odd pairing in finite nuclear systems: Even-even singly closed nuclei
• Josephson currents in neutron stars
• Strongly interacting matter in extreme magnetic fields
• Symmetry classification of uniform states in spin-2 Bose-Einstein condensates and neutron ${}^3{P}_2$ superfluids
• Neutrino zeromodes on electroweak strings in light of topological insulators
• Emergent chirality and superfluidity of parity-doubled baryons in neutron stars