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Pippard-coherence-length tensor for anisotropic superconductors

H. Meuth

DOI 10.1103/PhysRevB.38.11923 · Physical Review B

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Abstract

In the framework of a generalized fully anisotropic Bardeen-Cooper-Schrieffer-type quantum theory, the low-temperature, low-field coherence-length tensor is derived from first principles. Anisotropy of the Fermi surface, the gap parameter, and the energy band structure in the effective-mass approximation is included. For lattice parameters and effective-mass ratios suitable for the high-Tc superconductors the coherence lengths along the principal axes show a marked anisotropy exceeding 20:1. The coherence length along the c axis is found to be of the order of the lattice spacing c, suggesting marginal two dimensionality.

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