Abstract
The linear response of a metal to an embedded charge impurity near the surface is treated within the random phase approximation. The surface is assumed to be perfectly reflecting, which allows the boundary value problem to be solved by symmetric continuation of the metal. The resulting integral equation for the symmetrized charge density is solved numerically in momentum space. When quantum-mechanical interference effects are neglected (quasi-classical limit) an analytic solution is obtained. Graphs are presented for the potential and the normal field at the surface in the quantum-mechanical and quasi-classical case. These graphs display the Friedel oscillations as a function of the radial co-ordinate on the surface and of the distance of the impurity from the surface. In the quasi-classical case, asymptotic expressions which describe these oscillations are obtained. The results for the Fermi-Thomas approximation are also given for comparison. In every case the impurity charge is completely screened, in the sense that the average of the normal field at the surface is zero.
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.
