The Effective Particle-Hole Interaction and the Optical Response of Simple Metal Clusters

Physics – Condensed Matter – Materials Science

Scientific paper

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RevTeX, 15 pages, 5 figures in uufiles format, 1 figure avaible from ekardt@fhi-berlin.mpg.de

Scientific paper

10.1103/PhysRevB.52.16864

Following Sham and Rice [L. J. Sham, T. M. Rice, Phys. Rev. 144 (1966) 708] the correlated motion of particle-hole pairs is studied, starting from the general two-particle Greens function. In this way we derive a matrix equation for eigenvalues and wave functions, respectively, of the general type of collective excitation of a N-particle system. The interplay between excitons and plasmons is fully described by this new set of equations. As a by-product we obtain - at least a-posteriori - a justification for the use of the TDLDA for simple-metal clusters.

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