Magnetic Properties of Quantized Vortices in Neutron ${}^3{P}_2$ Superfluids in Neutron Stars

Abstract

We discuss quantized vortices in neutron ${}^3{P}_2$ superfluids, which are believed to realize in high density neutron matter such as neutron stars. By using the Ginzburg-Landau free energy for ${}^3{P}_2$ superfluids, we determine the ground state in the absence and presence of the external magnetic field, and numerically construct ${}^3{P}_2$ quantized vortices in the absence and presence of the external magnetic field along the vortex axis (poloidal) or angular direction (toroidal). We find in certain situations the spontaneous magnetization of the vortex core, whose typical magnitude is about $10^{7-8}$ Gauss, but the net magnetic field in a neutron star is negligible because of the ratio of the vortex core size $\sim 10$fm and the intervortex distance $\sim 10^{-6}$m in a vortex lattice.

16 pages, 12 figures and 3 tables

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• ${}^3{P}_2$ Superfluids Are Topological
• Topology and symmetry of surface Majorana arcs in cyclic superconductors
• Reexamining Ginzburg-Landau theory for neutron ${}^3{P}_2$ superfluidity in neutron stars
• Continuity from neutron matter to two-flavor quark matter with ${}^1{S}_0$ and ${}^3{P}_2$ superfluidity
• Phase structure of neutron ${}^3{P}_2$ superfluids in strong magnetic fields in neutron stars
• Collective excitations of a quantized vortex in ${}^3{P}_2$ superfluids in neutron stars
• Half-quantized Non-Abelian Vortices in Neutron ${}^3{P}_2$ Superfluids inside Magnetars
• Non-Abelian Alice strings in two-flavor dense QCD
• Microscopic description of axisymmetric vortices in ${}^3{P}_2$ superfluids
• Domain walls in neutron ${}^3{P}_2$ superfluids in neutron stars
• Critical endpoint and universality class of neutron ${}^3{P}_2$ superfluids in neutron stars
• Non-Abelian Half-Quantum Vortices in ${}^3{P}_2$ Topological Superfluids
• Topological confinement of vortices in two-flavor dense QCD
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Coexistence phase of ${}^1{S}_0$ and ${}^3{P}_2$ superfluids in neutron stars
• Vortex lattice in rotating neutron spin-triplet superfluid
• Topological defects at the boundary of neutron ${}^3{P}_2$ superfluids in neutron stars
• 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
• Alice meets Boojums in neutron stars: vortices penetrating two-flavor quark-hadron continuity
• Effects of strong magnetic fields on neutron ${}^3{P}_2$ superfluidity with spin-orbit interactions
• 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
• Two-dimensional Schrödinger symmetry and three-dimensional breathers and Kelvin-ripple complexes as quasi-massive-Nambu-Goldstone modes
• Symmetry classification of uniform states in spin-2 Bose-Einstein condensates and neutron ${}^3{P}_2$ superfluids
• Collision dynamics of two-dimensional non-Abelian vortices
• Emergent chirality and superfluidity of parity-doubled baryons in neutron stars