Core structures of vortices in Ginzburg-Landau theory for neutron ${}^3{P}_2$ superfluids

Abstract

We investigate vortex solutions in the Ginzburg-Landau theory for neutron ${}^3{P}_2$ superfluids relevant for neutron star cores in which neutron pairs possess the total angular momentum $J=2$ with spin-triplet and $P$ wave, in the presence of the magnetic field parallel to the angular momentum of vortices. The ground state is known to be in the uniaxial nematic (UN) phase in the absence of magnetic field, while it is in the $D_2$ ($D_4$) biaxial nematic (BN) phase in the presence of the magnetic field below (above) the critical value. We find that a singly quantized vortex always splits into two half-quantized non-Abelian vortices connected by soliton(s) as a vortex molecule with any strength of the magnetic field. In the UN phase, two half-quantized vortices with ferromagnetic cores are connected by a linear soliton with the $D_4$ BN order. In the $D_2$ ($D_4$) BN phase, two half-quantized vortices with cyclic cores are connected by three linear solitons with the $D_4$ ($D_2$) BN order. The energy of the vortex molecule monotonically increases and the distance between the two half-quantized vortices decreases with the magnetic field increases, except for a discontinuously increasing jump of the distance at the critical magnetic field. We also construct an isolated half-quantized non-Abelian vortex in the $D_4$ BN phase.

13 pages, 6 figures

References in corpus (37)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Classification of topological insulators and superconductors in three spatial dimensions
• PSR J0030+0451 Mass and Radius from NICER Data and Implications for the Properties of Neutron Star Matter
• A NICER View of PSR J0030+0451: Millisecond Pulsar Parameter Estimation
• GW190425: Observation of a Compact Binary Coalescence with Total Mass $\sim 3.4M_{\odot }$
• Rapid Cooling of the Neutron Star in Cassiopeia A Triggered by Neutron Superfluidity in Dense Matter
• A superconductor to superfluid phase transition in liquid metallic hydrogen
• Precision measurement of spin-dependent interaction strengths for spin-1 and spin-2 87Rb atoms
• Chiral CP^2 skyrmions in three-band superconductors
• Discrete symmetries and 1/3-quantum vortices in condensates of F=2 cold atoms
• Superfluidity and Superconductivity in Neutron Stars
• Deconfinement of Vortices with Continuously Variable Fractions of the Unit Flux Quanta in Two-Gap Superconductors
• Quasi-Nambu-Goldstone Modes in Bose-Einstein Condensates
• Spin-dependent inelastic collisions in spin-2 Bose-Einstein condensates
• Quantum insulating states of F=2 cold atoms in optical lattices
• Two-dimensional vortex behavior in highly underdoped YBa_2Cu_3O_{6+x} observed by scanning Hall probe microscopy
• Nuclear pairing from microscopic forces: singlet channels and higher-partial waves
• A superfluid perspective on neutron star dynamics
• Core Structure and Non-Abelian Reconnection of Defects in a Biaxial Nematic Spin-2 Bose-Einstein Condensate
• Collective modes of the order parameter in a triplet superfluid neutron liquid
• Zero sound in triplet-correlated superfluid neutron matter
• Neutrino emissivity of anisotropic neutron superfluids
• Collision dynamics and reactions of fractional vortex molecules in coherently coupled Bose-Einstein condensates
• Bound vortex states and exotic lattices in multi-component Bose-Einstein condensates: The role of vortex-vortex interaction
• Stable $Z$-strings with topological polarization in two Higgs doublet model
• Non-Abelian Alice strings in two-flavor dense QCD
• New eigen-mode of spin oscillations in the triplet superfluid condensate in neutron stars
• Chiral non-Abelian vortices and their confinement in three flavor dense QCD
• Coexistence phase of ${}^1{S}_0$ and ${}^3{P}_2$ superfluids in neutron stars
• Vortex lattice in rotating neutron spin-triplet superfluid
• Spin-polarized phases of ${}^3{P}_2$ superfluids in neutron stars
• Chemical bonds of two vortex species with a generalized Josephson term and arbitrary charges
• Alice meets Boojums in neutron stars: vortices penetrating two-flavor quark-hadron continuity
• Pulsar glitches from quantum vortex networks
• Symmetry classification of uniform states in spin-2 Bose-Einstein condensates and neutron ${}^3{P}_2$ superfluids

Cited by in corpus (6)

• 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
• Emergent chirality and superfluidity of parity-doubled baryons in neutron stars