Hydrodynamic approximation for the nonlinear response of a metal surface

Abstract

We present semi-classical and quantized hydrodynamic models to obtain the quadratic electronic response of a plane-bounded electron gas. Explicit expressions for the dynamic image potential experienced by charged particles moving near a jellium surface are derived, up to third order in the projectile charge. These expressions are employed to compute the image potential at all distances outside the surface. Though nonlinear corrections are found to be more important far inside the solid than outside, our results indicate that the nonlinear image potential is enhanced with respect to the linear image potential by a factor that is for Al as large as $\sim 1.15$ near the surface in the case of a stationary particle ($v\to 0$) with positive unit charge $e$.

9 pages, 4 figures, to appear in Phys. Rev. B

References in corpus (1)

• Plasmon excitation by charged particles interacting with metal surfaces

Cited by in corpus (4)

• Energy loss of charged particles interacting with simple metal surfaces
• Energy loss of charged particles moving parallel to a magnesium surface
• Nonlinear, band-structure, and surface effects in the interaction of charged particles with solids
• Kinetic theory of surface plasmon polariton in semiconductor nanowires