Vortical versus skyrmionic states in mesoscopic \emph{p}-wave superconductors

Abstract

We investigate the superconducting states that arise as a consequence of mesoscopic confinement and a multi-component order parameter in the Ginzburg-Landau model for $p$-wave superconductivity. Conventional vortices, but also half-quantum vortices and skyrmions are found as the applied magnetic field and the anisotropy parameters of the Fermi surface are varied. The solutions are well differentiated by a topological charge that for skyrmions is given by the Hopf invariant and for vortices by the circulation of the superconducting velocity. We revealed several unique states combining vortices and skyrmions, their possible reconfiguration with varied magnetic field, as well as the novel temporal and field-induced transitions between vortical and skyrmionic states.

14 pages, 14 figures

References in corpus (35)

• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Time-Reversal Symmetry Breaking Superconductivity in Sr2RuO4
• High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting State
• Vortices with fractional flux in two-gap superconductors and in extended Faddeev model
• Vortex phase diagram for mesoscopic superconducting disks
• 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
• Observation of half-height magnetization steps in Sr2RuO4
• Quasiparticle States near the Surface and the Domain Wall in a p_x\pm i p_y-Wave Superconductor
• Edge modes, edge currents, and gauge invariance in $p_x+i{p}_y$ superfluids and superconductors
• Hidden symmetry and knot solitons in a charged two-condensate Bose system
• Experimental Evidence for Giant Vortex States in a Mesoscopic Superconducting Disk
• Upper limit on spontaneous supercurrents in Sr${}_2$RuO${}_4$
• Hidden quasi one-dimensional superconductivity in Sr${}_2$RuO${}_4$
• Gap Structure of the Spin-Triplet Superconductor Sr2RuO4 Determined from the Field-Orientation Dependence of Specific Heat
• Limits on Superconductivity-Related Magnetization in Sr${}_2$RuO${}_4$ and PrOs${}_4$Sb${}_{12}$ from Scanning SQUID Microscopy
• Spontaneous Hall effect in chiral p-wave superconductor
• Vortex lattice structures of Sr${}_2$RuO${}_4$
• Topological solitons in three-band superconductors with broken time reversal symmetry
• Pairing symmetry and dominant band in Sr2RuO4
• Stability of half-quantum vorticies in p_x+ip_y superconductors
• The Ginzburg-Landau theory in application
• Chiral CP^2 skyrmions in three-band superconductors
• Vortex matter in mesoscopic two-gap superconducting disks: influence of Josephson and magnetic coupling
• Stable fractional flux vortices in mesoscopic superconductors
• Local current injection into mesoscopic superconductors for the manipulation of quantum states
• Skyrmionic state and stable half-quantum vortices in chiral p-wave superconductors
• Observation of vortex coalescence in the anisotropic spin-triplet superconductor Sr${}_2$RuO${}_4$
• Properties of skyrmions and multi-quanta vortices in chiral $p$-wave superconductors
• Vortex coalescence and type-1.5 superconductivity in Sr2RuO4
• Vortex states in mesoscopic three-band superconductors
• Magnetic skyrmion lattices in heavy fermion superconductor UPt3
• Fractional vortex lattice structures in spin triplet superconductors
• Phase diagrams of a p-Wave superconductor inside a mesoscopic disc-shaped sample
• Mesoscopic p-wave superconductor near the phase transition temperature

Cited by in corpus (14)

• Nematic Skyrmions in Odd-Parity Superconductors
• Reversible Vector Ratchets for Skyrmion Systems
• Properties of skyrmions and multi-quanta vortices in chiral $p$-wave superconductors
• Magnus-Induced Dynamics of Driven Skyrmions on a Quasi-One-Dimensional Periodic Substrate
• Electronic properties of emergent topological defects in chiral $p$-wave superconductivity
• Topological phase transitions in small mesoscopic chiral p-wave superconductors
• Spontaneous surface flux pattern in chiral p-wave superconductors - revisited
• Lattices of double-quanta vortices and chirality inversion in $p_x+i{p}_y$ superconductors
• Skyrmionic chains and lattices in $s+id$ superconductors
• Coreless vortices as direct signature of chiral $d$-wave superconductivity
• Phase diagram of superconductivity in the integer quantum Hall regime
• Robust and tunable coreless vortices and fractional vortices in chiral $d$-wave superconductors
• Dynamics of skyrmions and edge states in the resistive regime of mesoscopic \emph{p}-wave superconductors
• Quasiclassical theory of vortex states in locally non-centrosymmetric superconductors: application to CeRh${}_2$As${}_2$