Supershells in Metal Clusters: Self-Consistent Calculations and their Semiclassical Interpretation

Abstract

To understand the electronic shell- and supershell-structure in large metal clusters we have performed self-consistent calculations in the homogeneous, spherical jellium model for a variety of different materials. A scaling analysis of the results reveals a surprisingly simple dependence of the supershells on the jellium density. It is shown how this can be understood in the framework of a periodic-orbit-expansion by analytically extending the well-known semiclassical treatment of a spherical cavity to more realistic potentials.

4 pages, revtex, 3 eps figures included, for additional information see http://radix2.mpi-stuttgart.mpg.de/koch/Diss/

References in corpus (1)

• Hyperfine Populations Prior to Muon Capture

Cited by in corpus (5)

• One Dimensional Kondo Lattice Model Studied by the Density Matrix Renormalization Group Method
• Formally exact quantization condition for nonrelativistic quantum systems
• Density dependence of the electronic supershells in the homogeneous jellium model
• Semiclassical Trace Formulas for Noninteracting Identical Particles
• Periodic orbit theory for realistic cluster potentials: The leptodermous expansion