Surface electronic scattering in d-wave superconductors
A. A. Golubov (1), M. Yu. Kupriyanov (2) ((1) Department of Applied, Physics, University of Twente, The Netherlands, (2) Nuclear Physics, Institute, Moscow State University, Russia)

TL;DR
This paper develops a theoretical model to analyze how surface roughness and impurity scattering affect electronic states and critical currents in d-wave superconductors and Josephson junctions.
Contribution
It introduces boundary conditions for quasiclassical equations at impurity-covered surfaces in d-wave superconductors, enabling detailed analysis of surface effects.
Findings
Surface density of states is significantly affected by impurity scattering.
Critical current in d-wave Josephson junctions depends on surface roughness.
The model provides a framework for understanding surface phenomena in unconventional superconductors.
Abstract
Theoretical model of a rough surface in a d-wave superconductor is studied for the general case of arbitrary strength of electron scattering by an impurity layer covering the surface. Boundary conditions for quasiclassical Eilenberger equations are derived at the interface between the impurity layer and the d-wave superconductor. The model is applied to the selfconsisrent calculation of the surface density of states and the critical current in d-wave Josephson junctions
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Taxonomy
TopicsPhysics of Superconductivity and Magnetism · Quantum and electron transport phenomena · Surface and Thin Film Phenomena
