Surface boundary conditions for the Ginzburg-Landau theory of d-wave superconductors

M. Alber; B. Bäuml; R. Ernst; D. Kienle; A. Kopf; M. Rouchal

doi:10.1103/PhysRevB.53.5863

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Surface boundary conditions for the Ginzburg-Landau theory of d-wave superconductors

M. Alber, B. Bäuml, R. Ernst, D. Kienle, A. Kopf, M. Rouchal

DOI 10.1103/PhysRevB.53.5863 · Physical Review B

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Abstract

We calculate de Gennes’ extrapolation length for a d-wave superconductor near a surface within Fermi-liquid theory. The extrapolation length depends critically on the orientation of the surface relative to the crystal axes and on the surface roughness. This sensitivity of the boundary conditions for a d-wave order parameter to surface conditions is not found in traditional s-wave superconductors, and is a signature of anisotropic pairing with a changing sign of the order parameter along the Fermi surface. de Gennes’ method is used to calculate the reduction of Tc in thin strips of high-Tc superconductors. © 1996 The American Physical Society.