Anharmonicity of flux lattices and thermal fluctuations in layered superconductors
T. Ruth Goldin, Baruch Horovitz
DOI 10.1103/PhysRevB.58.9524 · Physical Review B
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Abstract
We study elasticity of a perpendicular flux lattice in a layered superconductor with Josephson coupling between layers. We find that for flux displacements ρ the energy contains ρ2lnρ terms, so that elastic constants cannot be strictly defined. Instead we define effective elastic constants by a thermal average. The tilt moduli have terms ∼lnT which for λJ≪a, where λJ is the Josephson length and a is the flux-line spacing, lead to 〈ρ2〉∼T/|lnT|. The expansion parameter indicates that the dominant low-temperature phase transition is either layer decoupling at high fields (λJ≫a) or melting at low fields (λJ≪a).
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