Skyrmion versus vortex flux lattices in p-wave superconductors

Abstract

p-wave superconductors allow for topological defects known as skyrmions, in addition to the usual vortices that are possible in both s-wave and p-wave materials. In strongly type-II superconductors in a magnetic field, a skyrmion flux lattice yields a lower free energy than the Abrikosov flux lattice of vortices, and should thus be realized in p-wave superconductors. We analytically calculate the energy per skyrmion, which agrees very well with numerical results. From this, we obtain the magnetic induction B as a function of the external magnetic field H, and the elastic constants of the skyrmion lattice, near the lower critical field H_c1. Together with the Lindemann criterion, these results suffice to predict the melting curve of the skyrmion lattice. We find a striking difference in the melting curves of vortex lattices and skyrmion lattices: while the former is separated at all temperatures from the Meissner phase by a vortex liquid phase, the skyrmion lattice phase shares a direct boundary with the Meissner phase. That is, skyrmions lattices never melt near Hc1, while vortex lattices always melt sufficiently close to Hc1. This allows for a very simple test for the existence of a skyrmion lattice. Possible muSR experiments to detect skyrmion lattices are also discussed.

13pp, 8 eps figs

References in corpus (4)

• Spontaneous Skyrmion Ground States in Magnetic Metals
• Skymrion lattice melting in the quantum Hall system
• Magnetic skyrmions and their lattices in triplet superconductors
• Elasticity and melting of skyrmion flux lattices in p-wave superconductors

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• Magnus-Induced Dynamics of Driven Skyrmions on a Quasi-One-Dimensional Periodic Substrate
• Spin-valley skyrmions in graphene at filling factor $\nu =-1$
• Skyrmions induced by dissipationless drag in U(1)xU(1) superconductors
• Phase diagram of superconductivity in the integer quantum Hall regime
• Triplet superconductivity in 3D Dirac semimetal due to exchange interaction
• Current-driven motion of magnetic topological defects in ferromagnetic superconductors