Abstract
We present a quasi-classical Green's function theory for the rough surface effects on d -wave BCS states. We reformulate and generalize the randomly rippled wall model of rough surfaces so that it can describe the surface scattering ranging from the specular limit to the diffusive limit. We give a formal solution of the quasi-classical Green's function in a semi-infinite geometry with arbitrarily rough surfaces. The formal solution satisfies the boundary condition. We apply this method to the two-dimensional d x 2 - y 2 and d x y states and show how the self-consistent order parameter and the surface density of states change according to the surface roughness. The present analysis is relevant to tunneling spectroscopy of cuprate superconductors through the surfaces parallel to the c -axis.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
