Rough walls in d-wave superconductors

The theoretical model of a rough wall in a superconductor with d-wave pairi ng is studied. The surface roughness is introduced by means of an impurity layer covering the wall and the boundary conditions are derived for the qua siclassical Eilenberger equations at the wall. The angular and spatial stru cture of the pair potential and the quasiparticle density of states near th e wall are calculated self-consistently. It is shown that an isotropic gapl ess superconducting state is induced within the impurity layer in the regim e of extreme roughness. The fine structure in the density of states due to quasiparticle resonances is demonstrated. The model is applied to the descr iption of rough surfaces and interfaces in d-wave superconductors. We calcu late the angle-resolved densities of states and critical currents in d-wave Josephson junctions with rough interfaces. (C) 1999 Academic Press.