Density dependence of the electronic supershells in the homogeneous jellium model

Details Density dependence of the electronic supershells in the homogeneous jellium model Density dependence of the electronic supershells in the homogeneous jellium model

1996-06-18

arxiv.org/abs/cond-mat/9606140v1

Phys. Rev. B 54, 5168 (1996)

Physics

Condensed Matter

11 pages, revtex, 11 eps figures included, to be published in Phys.Rev.B, additional material available at http://radix2.mpi

Scientific paper

10.1103/PhysRevB.54.5168

We present the results of self-consistent calculations of the electronic shell and supershell structure for clusters having up to 6000 valence electrons. The ionic background is described in terms of a homogeneous jellium. The calculations were performed for a series of different electron densities, resembling Cs, Rb, K, Na, Li, Au, Cu, Tl, In, Ga, and Al, respectively. By analyzing the occupation of the energy levels at the Fermi energy as a function of cluster size, we show how the shell and supershell structure for a given density arises from the specific arrangement of energy levels. We investigate the electronic shells and supershells obtained for different electron densities. Using a scaling argument, we find a surprisingly simple dependence of the position of the supernodes on the electron density.

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