Spin-polarized phases of ${}^3{P}_2$ superfluids in neutron stars

Abstract

The interior of a neutron star is expected to be occupied by a neutron ${}^3{P}_2$ superfluid, which is the condensate of spin-triplet $p$-wave Cooper pairs of neutrons with total angular momentum $J=2$. Here we investigate the thermodynamic stability of ${}^3{P}_2$ superfluids in a neutron-star interior under a strong magnetic field. Using the theory incorporating the finite size correction of neutron Fermi surface, we show that the spin-polarized phases of ${}^3{P}_2$ superfluids, the magnetized biaxial nematic phase and the ferromagnetic phase, appear in high temperatures and high magnetic fields. These phases were missed in the previous studies using the quasiclassical approximation in which dispersions of neutrons are linearized around the Fermi surface. In particular, the ferromagnetic phase, which is the condensation of Cooper-paired neutrons with fully polarized spins, appears between the normal phase and the biaxial nematic phase and enlarge the thermodynamic stability of ${}^3{P}_2$ superfluids under strong magnetic fields. Furthermore, we present the augmented Ginzburg-Landau theory that incorporates the thermodynamic stability of spin-polarized ${}^3{P}_2$ superfluid phases.

14 pages, 5 figures

References in corpus (13)

• Rapid Cooling of the Neutron Star in Cassiopeia A Triggered by Neutron Superfluidity in Dense Matter
• Discrete symmetries and 1/3-quantum vortices in condensates of F=2 cold atoms
• Superfluidity and Superconductivity in Neutron Stars
• Quasi-Nambu-Goldstone Modes in Bose-Einstein Condensates
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Nuclear pairing from microscopic forces: singlet channels and higher-partial waves
• Collective modes of the order parameter in a triplet superfluid neutron liquid
• Topology and symmetry of surface Majorana arcs in cyclic superconductors
• On Nambu's Fermion-Boson Relations for Superfluid ${}^3$He-B
• Zero sound in triplet-correlated superfluid neutron matter
• Neutrino emissivity of anisotropic neutron superfluids
• New eigen-mode of spin oscillations in the triplet superfluid condensate in neutron stars
• Vortex lattice in rotating neutron spin-triplet superfluid

Cited by in corpus (7)

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• 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
• Strongly interacting matter in extreme magnetic fields
• Exploring ${}^3{P}_0$ Superfluid in Dilute Spin-Polarized Neutron Matter
• Symmetry classification of uniform states in spin-2 Bose-Einstein condensates and neutron ${}^3{P}_2$ superfluids
• Emergent chirality and superfluidity of parity-doubled baryons in neutron stars