Magnetic skyrmions and their lattices in triplet superconductors

Abstract

Complete topological classification of solutions in SO(3) symmetric Ginzburg-Landau free energy has been performed and a new class of solutions in weak external magnetic field carrying two units of magnetic flux has been identified. These solutions, magnetic skyrmions, do not have singular core like Abrikosov vortices and at low magnetic field become lighter for strongly type II superconductors. As a consequence, the lower critical magnetic field Hc1 is reduced by a factor of log(kappa). Magnetic skyrmions repel each other as 1/r at distances much larger then magnetic penetration depth forming relatively robust triangular lattice. Magnetic induction near Hc1 increases gradually as (H-Hc1)^2. This agrees very well with experiments on heavy fermion superconductor UPt3. Newly discovered Ru based compounds Sr2RuO4 and Sr2YRu(1-x)Cu(x)O6 are other possible candidates to possess skyrmion lattices. Deviations from exact SO(3) symmetry are also studied.

23 pages, 10 eps figures

References in corpus (5)

• The Order Parameter for the Superconducting Phases of UPt${}_3$
• Magnetic skyrmion lattices in heavy fermion superconductor UPt3
• Identification of Non-unitary triplet pairing in a heavy Fermion superconductor UPt_3
• Static and Dynamical Anisotropy Effects in Mixed State of D - Wave Superconductors
• An Interpretation of the Neutron Scattering Data on Flux Lattices of Superconductors

Cited by in corpus (18)

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• Electronic properties of emergent topological defects in chiral $p$-wave superconductivity
• Spin-valley skyrmions in graphene at filling factor $\nu =-1$
• Skyrmions induced by dissipationless drag in U(1)xU(1) superconductors
• Dipole and Quadrupole Skyrmions in S=1 (Pseudo)Spin Systems
• Fractional-flux vortices and spin superfluidity in triplet superconductors
• Magnetic Skyrmions coupled to fermions
• Skyrmion versus vortex flux lattices in p-wave superconductors
• Unraveling critical dynamics: The formation and evolution of topological textures
• Elasticity and melting of skyrmion flux lattices in p-wave superconductors
• Topological structures in unconventional scenario for 2D cuprates
• Triplet superconductivity in 3D Dirac semimetal due to exchange interaction
• Fluctuation-induced first-order transition in $p$-wave superconductors
• On the dynamics of phase transitions and the nonequilibrium formation of topological defects