Stability of half quantum vortex in rotating superfluid 3He-A between parallel plates

Abstract

We have found the precise stability region of the half quantum vortex (HQV) for superfluid ${}^3$He A phase confined in parallel plates with a narrow gap under rotation. Standard Ginzburg-Landau free energy, which is well established, is solved to locate the stability region spanned by temperature $T$ and rotation speed ($/Omega$). This $/Omega$-$T$ stability region is wide enough to check it experimentally in available experimental setup. The detailed order parameter structure of HQV characterized by A${}_1$ core is given to facilitate the physical reasons of its stability over other vortices or textures.

5 pages, 4 figures

References in corpus (14)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Splitting of a Cooper pair by a pair of Majorana bound states
• The Order Parameter for the Superconducting Phases of UPt${}_3$
• Proposal to stabilize and detect half-quantum vortices in strontium ruthenate thin films: Non-Abelian braiding statistics of vortex matter in a $p_x+i{p}_y$ superconductor
• Stability of half-quantum vorticies in p_x+ip_y superconductors
• An Index Theorem for the Majorana Zero Modes in Chiral P-Wave Superconductors
• Spin domain formation in spinor Bose-Einstein condensation
• Phase-sensitive tests of the pairing state symmetry in Sr2RuO4
• Half quantum vortex in superfluid ${}^3$He-A phase in parallel plate geometry
• Majorana bound state in rotating superfluid 3He-A between parallel plates
• Half-quantum vortex and d-soliton in Sr${}_2$RuO${}_4$
• Unconventional Vortices and Phase Transitions in Rapidly Rotating Superfluid ^{3}He

Cited by in corpus (18)

• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Observation of half-quantum vortices in topological superfluid 3He
• Spin polarization of half-quantum vortex in systems with equal spin pairing
• Splitting and oscillation of Majorana zero modes in the p-wave BCS-BEC evolution with plural vortices
• Non-unitary triplet superconductivity tuned by field-controlled magnetization --URhGe, UCoGe and UTe${}_2$--
• Multifaceted properties of Andreev bound states: Interplay of symmetry and topology
• Zero Energy Modes and Statistics of Vortices in Spinful Chiral p-Wave Superfluids
• Stability of Half-Quantum Vortices in Equal-Spin Pairing States of ${}^3$He
• Non-Abelian Half-Quantum Vortices in ${}^3{P}_2$ Topological Superfluids
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Singular and Half-Quantum Vortices and Associated Majorana Particles in Superfluid 3He-A between Parallel Plates
• Vortices in p-Wave Superfluids of Trapped Fermionic Atom Gases
• Half-Quantum Vortices in Thin Film of Superfluid ${}^3$He
• p-wave superfluidity in mixtures of ultracold Fermi and spinor Bose gases
• Stability of the singular vortex and associated Majorana zero modes in trapped p-wave resonant superfluids of neutral cold atoms
• Quasiparticle Bound States around Fractional Vortices in s-wave Superconductor
• Singular Vortex in Narrow Cylinders of Superfluid 3He-A Phase