Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Collective multipole excitations in small metal particles: Critical angular momentum l/sup cr/ for the existence of collective surface modes

Journal Article · · Phys. Rev. B: Condens. Matter; (United States)

The electronic multipole response properties of small metal particles are investigated within the frame of a self-consistent spherical jellium model. The method used is the time-dependent local-density approximation (TDLDA), which was used before in a study of the dipole response (W. Ekardt, Phys. Rev. Lett. 52, 1925 (1984)). On comparing the TDLDA response with the response of a system of noninteracting electrons, we see clearly how the electron-electron interaction is switched off rather suddenly around a critical angular momentum l/sup cr/. It is shown that the value of l/sup cr/ can be obtained from the equation q/sup cr/ = l/sup cr//R, where R is the radius of the jellium background and q/sup cr/ is the critical wave vector of the planar jellium surface. This result is consistent with a result found earlier for l = 1 (W. Ekardt, Phys. Rev. B 31, 6360 (1985)): A spherical surface behaves across the jellium edge like a patch of a planar jellium surface.

Research Organization:
Solid State Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 and Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, D-1000 Berlin West 33, West Germany
OSTI ID:
5511447
Journal Information:
Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 32:4; ISSN PRBMD
Country of Publication:
United States
Language:
English

Similar Records

Explicit expressions for totally symmetric spherical functions and symmetry-dependent properties of multipoles
Journal Article · Wed Sep 03 00:00:00 EDT 2014 · Proceedings of the Royal Society. A. Mathematical, Physical and Engineering Sciences · OSTI ID:1376713

Hydrogen atom under a sequence of static multipole perturbations: Wave-function corrections
Journal Article · Tue Dec 31 23:00:00 EST 1985 · Phys. Rev. A; (United States) · OSTI ID:6174854

Electron detachment in low-energy H/sup -/(D/sup -/)-Na collisions
Journal Article · Thu Sep 01 00:00:00 EDT 1988 · Phys. Rev. A; (United States) · OSTI ID:7124893