Non-Abelian Half-Quantum Vortices in ${}^3{P}_2$ Topological Superfluids

Abstract

${}^3{P}_2$ superfluids realized in neutron stars are the largest topological quantum matters in our Universe. We establish the existence and stability of non-Abelian half-quantum vortices (HQVs) in ${}^3{P}_2$ superfluids with strong magnetic fields. Using a self-consistent microscopic approach, we find that a singly quantized vortex is energetically destabilized into a pair of two non-Abelian HQVs owing to the strongly spin-orbit-coupled pairing. We find a topologically protected Majorana fermion on each HQV, thereby providing two-fold non-Abelian anyons characterized by both Majorana fermions and a non-Abelian first homotopy group.

arXiv comment6 pages, 4 figures

References in corpus (91)

• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Anyons in an exactly solved model and beyond
• Unpaired Majorana fermions in quantum wires
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Field Theory of Time-Reversal Invariant Insulators
• New directions in the pursuit of Majorana fermions in solid state systems
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Search for Majorana fermions in superconductors
• Spinor Bose Condensates in Optical Traps
• Majorana Zero Modes and Topological Quantum Computation
• Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
• Spinor Bose-Einstein condensates
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Introduction to topological superconductivity and Majorana fermions
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Topology of crystalline insulators and superconductors
• Direct observation of anyonic braiding statistics at the $\nu$=1/3 fractional quantum Hall state
• Majorana Fermions and Topology in Superconductors
• A superconductor to superfluid phase transition in liquid metallic hydrogen
• Vortices with fractional flux in two-gap superconductors and in extended Faddeev model
• Hunting Majorana Fermions in Kitaev Magnets
• Superfluidity in nuclear systems and neutron stars
• Domain walls of relative phase in two-component Bose-Einstein condensates
• Symmetry-Protected Majorana Fermions in Topological Crystalline Superconductors: Theory and Application to Sr2RuO4
• Vortex molecules in coherently coupled two-component Bose-Einstein condensates
• How to create Alice string (half-quantum vortex) in a vector Bose-Einstein condensate
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Search for non-Abelian Majorana braiding statistics in superconductors
• Observation of half-quantum vortices in topological superfluid 3He
• Semi-superfluid strings in High Density QCD
• Vortices and Other Topological Solitons in Dense Quark Matter
• Half-Quantum Vortices in an Antiferromagnetic Spinor Bose-Einstein Condensate
• Interaction of half-quantized vortices in two-component Bose-Einstein condensates
• Stability of half-quantum vorticies in p_x+ip_y superconductors
• Thermodynamic properties of thin films of superfluid 3He-A
• Non-Abelian Strings in High Density QCD: Zero Modes and Interactions
• Non-abelian vortices and non-abelian statistics
• Discrete symmetries and 1/3-quantum vortices in condensates of F=2 cold atoms
• Collision Dynamics and Rung Formation of Non-Abelian Vortices
• Ginzburg-Landau Theory for a p-Wave Sr_2RuO_4 Superconductor: Vortex Core Structure and Extended London Theory
• Half-quantum vortices and walls bounded by strings in the polar-distorted phases of topological superfluid ${}^3$He
• Crossover between integer and fractional vortex lattices in coherently coupled two-component Bose-Einstein condensates
• UPt${}_3$ as a Topological Crystalline Superconductor
• Deconfinement of Vortices with Continuously Variable Fractions of the Unit Flux Quanta in Two-Gap Superconductors
• Confinement and precession of vortex pairs in coherently coupled Bose-Einstein condensates
• Skyrmionic state and stable half-quantum vortices in chiral p-wave superconductors
• Violation of the London Law and Onsager-Feynman quantization in multicomponent superconductors
• Nematic Skyrmions in Odd-Parity Superconductors
• Vortex Charging Effect in a Chiral $p_x\pm i{p}_y$-Wave Superconductor
• Short range inter-vortex interaction and interacting dynamics of half-quantized vortices in two-component Bose-Einstein condensates
• Confinement of Half-quantized Vortices in Coherently Coupled Bose-Einstein Condensates: Simulating Quark Confinement in QCD
• Two-dimensional vortex behavior in highly underdoped YBa_2Cu_3O_{6+x} observed by scanning Hall probe microscopy
• Berezinskii-Kosterlitz-Thouless transition of two-component Bose mixtures with inter-component Josephson coupling
• Topologically Stable Electroweak Flux Tube
• Vortex trimer in three-component Bose-Einstein condensates
• Non-Abelian strings and domain walls in two Higgs doublet models
• Half-quantum vortex and d-soliton in Sr${}_2$RuO${}_4$
• Andreev-Majorana bound states in superfluids
• Abe homotopy classification of topological excitations under the topological influence of vortices
• Core Structure and Non-Abelian Reconnection of Defects in a Biaxial Nematic Spin-2 Bose-Einstein Condensate
• Magnetic Properties of Quantized Vortices in Neutron ${}^3{P}_2$ Superfluids in Neutron Stars
• Braiding and fusion of non-Abelian vortex anyons
• Mirror Majorana zero modes in spinful superconductors/superfluids -Non-Abelian braiding of integer quantum vortices-
• ${}^3{P}_2$ Superfluids Are Topological
• Reexamining Ginzburg-Landau theory for neutron ${}^3{P}_2$ superfluidity in neutron stars
• Stability of half quantum vortex in rotating superfluid 3He-A between parallel plates
• Topology of the planar phase of superfluid ${}^3$He and bulk-boundary correspondence for three dimensional topological superconductors
• Phase structure of neutron ${}^3{P}_2$ superfluids in strong magnetic fields in neutron stars
• Zero Energy Modes and Statistics of Vortices in Spinful Chiral p-Wave Superfluids
• Collective excitations of a quantized vortex in ${}^3{P}_2$ superfluids in neutron stars
• Symmetry protected vortex bound state in superfluid ${}^3$He B-phase
• Microscopic description of axisymmetric vortices in ${}^3{P}_2$ superfluids
• Half-quantized Non-Abelian Vortices in Neutron ${}^3{P}_2$ Superfluids inside Magnetars
• Non-Abelian Alice strings in two-flavor dense QCD
• 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
• Half Quantum Vortices in Nematic Superconductor
• Stability of Half-Quantum Vortices in Equal-Spin Pairing States of ${}^3$He
• Infinite Lattices of Vortex Molecules in Rabi-Coupled Condensates
• Chiral non-Abelian vortices and their confinement in three flavor dense QCD
• Vortex lattice in rotating neutron spin-triplet superfluid
• Half-Quantum Vortices in Nematic and Chiral Phases of ${}^3$He
• Half-Quantum Vortex Pair in Polar-distorted B Phase of Superfluid 3He in Aerogels
• Topological defects at the boundary of neutron ${}^3{P}_2$ superfluids in neutron stars
• Mesoscopics of half-quantum vortex pair deconfinement in a trapped spin-one condensate
• Singular and Half-Quantum Vortices and Associated Majorana Particles in Superfluid 3He-A between Parallel Plates
• Half-quantum vortices on c-axis domain walls in chiral p-wave superconductors
• Pulsar glitches from quantum vortex networks

Cited by in corpus (7)

• 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
• Neutrino zeromodes on electroweak strings in light of topological insulators
• Emergent chirality and superfluidity of parity-doubled baryons in neutron stars