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Keywords:

  • d-wave superconductivity;
  • quasiclassical theory;
  • time-reversal symmetry breaking.

Abstract

We study a d-wave superconductor with dominant dmath image-wave order parameter and subdominant pairing in either the s- or the dxy-wave channel near a surface. In particular we analyze the influence of surface roughness on the mixed order parameter which may break the time-reversal symmetry. We find that the subdominant component is suppressed by the roughness independent of its pairing symmetry; for very rough surfaces the subdominant component may even vanish completely. Additionally we discuss a possible real-valued admixture which counteracts the suppression of the dmath image-wave order parameter at the surface.