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

We analytically calculate the energy, magnetization curves B(H)], and elasticity of Skyrmions flux lattices in p-wave superconductors near the lower critical field H(c1), and we 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>H(c1), Skyrmion flux lattices never melt near H(c1). This provides a simple and unambiguous test for the presence of Skyrmions.