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Elasticity, fluctuations, and vortex pinning in ferromagnetic superconductors: A columnar elastic glass

Elasticity, fluctuations, and vortex pinning in ferromagnetic superconductors: A columnar elastic glass

We study the elasticity, fluctuations and pinning of a putative spontaneous vortex solid in ferromagnetic superconductors. Using a rigorous thermodynamic argument, we show that in the idealized case of vanishing crystalline pinning anisotropy the long-wavelength tilt modulus of such a vortex solid vanishes identically, as guaranteed by the underlying rotational …