THEORY FOR THE ELECTRONIC SHELL STRUCTURE IN MESOSCOPIC SYSTEMS: SPHERES, DISCS, AND RINGS

P. Stampfli, K.H. Bennemann and B. Tatievski
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P. Stampfli: Institute for Theoretical Physics, Freie Universität Berlin, Arnimallee 14, D-14195 Berlin, Germany
K.H. Bennemann: Institute for Theoretical Physics, Freie Universität Berlin, Arnimallee 14, D-14195 Berlin, Germany
B. Tatievski: Institute for Theoretical Physics, Freie Universität Berlin, Arnimallee 14, D-14195 Berlin, Germany

Surface Review and Letters (SRL), 1996, vol. 03, issue 01, 293-297

Abstract: The electronic shell structure resulting from the interference of closed orbital paths is determined for spheres, discs, and rings using the semiclassical theory of Balian and Bloch. The effect of finite surface potentials and magnetic fields is discussed. We obtain analytical expressions for the oscillating structure in the density of states, which are in good agreement with numerical solutions of the Schrödinger equation. These results can be applied to the electronic shell structure of metallic clusters, including the asymptotic size dependence of the structure in the ionization potential and the cohesive energy. Dimensional quantum-mechanical effects are examined.

Date: 1996
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DOI: 10.1142/S0218625X96000541

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