Elasticity and melting of skyrmion flux lattices in p-wave superconductors

Abstract

We analytically calculate the energy, magnetization curves (B(H)), and elasticity of skyrmion flux lattices in p-wave superconductors near the lower critical field Hc1, and use these results with the Lindemann criterion to predict their melting curve. In striking contrast to vortex flux lattices, which always melt at an external field H > Hc1, skyrmion flux lattices never melt near Hc1. This provides a simple and unambiguous test for the presence of skyrmions.

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