Coexistence phase of ${}^1{S}_0$ and ${}^3{P}_2$ superfluids in neutron stars

Abstract

In neutron star matter, there exist ${}^1{S}_0$ superfluids in lower density in the crust while ${}^3{P}_2$ superfluids are believed to exist at higher density deep inside the core. In the latter, depending on the temperature and magnetic field, either the uniaxial nematic phase, the D${}_2$-biaxial nematic phase, or the D${}_4$-biaxial nematic phase appears. In this paper, we discuss a mixture of the ${}^1{S}_0$ and ${}^3{P}_2$ superfluids and find their coexistence. Adopting the loop expansion and the weak-coupling approximation for the interaction between two neutrons, we obtain the Ginzburg-Landau (GL) free energy in which both of the ${}^1{S}_0$ and ${}^3{P}_2$ condensates are taken into account by including the coupling terms between them. We analyze the GL free energy and obtain the phase diagram for the temperature and magnetic field. We find that the ${}^1{S}_0$ superfluid excludes the ${}^3{P}_2$ superfluid completely in the absence of magnetic field, they can coexist for weak magnetic fields, and the ${}^1{S}_0$ superfluid is expelled by the ${}^3{P}_2$ superfluid at strong magnetic fields, thereby proving the robustness of ${}^3{P}_2$ superfluid against the magnetic field. We further show that the D${}_4$-BN phase covers the whole region of the ${}^3{P}_2$ superfluidity as a result of the coupling term, in contrast to the case of a pure ${}^3{P}_2$ superfluid studied before in which the D${}_4$-BN phase is realized only under strong magnetic fields. Thus, the D${}_4$-BN phase is topologically the most interesting phase, e.g., admitting half-quantized non-Abelian vortices relevant not only in magnetars but also in ordinary neutron stars.

arXiv comment14 pages, 3 figures

References in corpus (87)

• 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
• Feshbach Resonances in Ultracold Gases
• Heavy fermion superconductivity and magnetic order in non-centrosymmetric $CeP{t}_{3}Si$
• Spinor Bose-Einstein condensates
• From hadrons to quarks in neutron stars: a review
• Physics of Neutron Star Crusts
• Neutrino Emission from Neutron Stars
• From low-momentum interactions to nuclear structure
• Pairing in nuclear systems: from neutron stars to finite nuclei
• Rapid Cooling of the Neutron Star in Cassiopeia A Triggered by Neutron Superfluidity in Dense Matter
• Cooling neutron star in the Cassiopeia~A supernova remnant: Evidence for superfluidity in the core
• Neutron stars - cooling and transport
• Cooling neutron stars and superfluidity in their interiors
• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Direct Observation of the Cooling of the Cassiopeia A Neutron Star
• Probing anisotropic superfluidity of rashbons in atomic Fermi gases
• Theoretical aspects of Andreev spectroscopy and tunneling spectroscopy in non-centrosymmetric superconductors: a topical review
• Superfluidity in nuclear systems and neutron stars
• All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
• 3P_2-3F_2 pairing in neutron matter with modern nucleon-nucleon potentials
• Semi-superfluid strings in High Density QCD
• Ferromagnetism of quark liquid
• Vortices and Other Topological Solitons in Dense Quark Matter
• D-brane Solitons in Supersymmetric Sigma-Models
• Interaction of half-quantized vortices in two-component Bose-Einstein condensates
• Non-Abelian Strings in High Density QCD: Zero Modes and Interactions
• Superfluidity and Superconductivity in Neutron Stars
• Instabilities of Non-Abelian Vortices in Dense QCD
• Neutron Stars in the Laboratory
• Superfluidity and Superconductivity in Neutron Stars
• Color Magnetic Flux Tubes in Dense QCD
• Color Magnetic Flux Tubes in Dense QCD. II: Effective World-Sheet Theory
• Triplet pairing in beta-stable neutron star matter
• Pseudogaps in strongly interacting Fermi gases
• Neutrino emission from triplet pairing of neutrons in neutron stars
• Creating vortons and three-dimensional skyrmions from domain wall annihilation with stretched vortices in Bose-Einstein condensates
• Spin Polarized Asymmetric Nuclear Matter and Neutron Star Matter Within the Lowest Order Constrained Variational Method
• Quasi-Nambu-Goldstone Modes in Bose-Einstein Condensates
• Goldstone Bosons in the 3P2 Superfluid Phase of Neutron Matter and Neutrino Emission
• Universalities of Triplet Pairing in Neutron Matter
• Ferromagnetic neutron stars: axial anomaly, dense neutron matter, and pionic wall
• Short range inter-vortex interaction and interacting dynamics of half-quantized vortices in two-component Bose-Einstein condensates
• Superfluid Fermi atomic gas as a quantum simulator for the study of neutron-star equation of state
• ${}^3{P}_2$-${}^3{F}_2$ Pairing in Dense Neutron Matter: The Spectrum of Solutions
• Anyonic particle-vortex statistics and the nature of dense quark matter
• Spin Polarization and Color Superconductivity in Quark Matter
• Triplet Pairing in Neutron Matter
• Wall-vortex composite solitons in two-component Bose-Einstein condensates
• Nuclear pairing from microscopic forces: singlet channels and higher-partial waves
• Continuity of vortices from the hadronic to the color-flavor locked phase in dense matter
• Colorful boojums at the interface of a color superconductor
• Quark-hadron continuity under rotation: Vortex continuity or boojum?
• Analogues of D-branes in Bose-Einstein condensates
• Goldstone modes in the neutron star core
• Magnetic Properties of Quantized Vortices in Neutron ${}^3{P}_2$ Superfluids in Neutron Stars
• Triplet Pairing in pure neutron matter
• Collective modes of the order parameter in a triplet superfluid neutron liquid
• Topology and symmetry of surface Majorana arcs in cyclic superconductors
• ${}^3{P}_2$ Superfluids Are Topological
• Reexamining Ginzburg-Landau theory for neutron ${}^3{P}_2$ superfluidity in neutron stars
• The low lying modes of triplet-condensed neutron matter and their effective theory
• The pseudogap regime in the unitary Fermi gas
• Zero sound in triplet-correlated superfluid neutron matter
• Neutrino emission from spin waves in neutron spin-triplet superfluid
• Neutrino emissivity of ${}^3{P}_2$-${}^3{F}_2$ superfluid cores in neutron stars
• Neutrino emissivity of anisotropic neutron superfluids
• Superfluid Phase Transitions and Effects of Thermal Pairing Fluctuations in Asymmetric Nuclear Matter
• Phase structure of neutron ${}^3{P}_2$ superfluids in strong magnetic fields in neutron stars
• Superfluid phases of triplet pairing and neutrino emission from neutron stars
• D-brane solitons and boojums in field theory and Bose-Einstein condensates
• Collective excitations of a quantized vortex in ${}^3{P}_2$ superfluids in neutron stars
• Possible Ferromagnetism in the Large N(c) and N(f) limit of quark matter
• Half-quantized Non-Abelian Vortices in Neutron ${}^3{P}_2$ Superfluids inside Magnetars
• Massive and massless modes of the triplet phase of neutron matter
• Microscopic description of axisymmetric vortices in ${}^3{P}_2$ superfluids
• Domain walls in neutron ${}^3{P}_2$ superfluids in neutron stars
• Neutrino emissivity from Goldstone boson decay in magnetized neutron matter
• New eigen-mode of spin oscillations in the triplet superfluid condensate in neutron stars
• Critical endpoint and universality class of neutron ${}^3{P}_2$ superfluids in neutron stars
• Possibility of ferromagnetic neutron matter
• Topological defects at the boundary of neutron ${}^3{P}_2$ superfluids in neutron stars
• Quark-Hadron Crossover with Vortices
• Ferromagnetism of dense matter and magnetic properties of neutron stars
• Effects of strong magnetic fields on neutron ${}^3{P}_2$ superfluidity with spin-orbit interactions
• Topological spinor vortex matter on spherical surface induced by non-Abelian spin-orbital-angular-momentum coupling

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