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Gap anisotropy and critical temperature of anisotropic superconductors

R. Combescot

DOI 10.1103/PhysRevLett.67.148 · Physical Review Letters

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Abstract

We study the gap anisotropy and critical temperature of superconductors within Eliashberg theory. We consider a general anisotropy and spectral shape. In the attractive strong-coupling limit, we find a qualitatively new universal result: The gap becomes isotropic. This sets severe constraints on standard strong-coupling theories of high-Tc superconductors. In the weak-coupling limit, the gap is sensitive to anisotropy. We obtain exact results for the critical temperature both in the strong- and the weak-coupling limits. We propose a simple natural interpolation in the intermediate regime.

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