Collective excitations in Quantum Dot

Details Collective excitations in Quantum Dot Collective excitations in Quantum Dot

1999-12-06

arxiv.org/abs/cond-mat/9912079v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Tex file, 4 figures ps files

Scientific paper

10.1016/S1386-9477(00)00112-0

We investigate different types of collective excitations in a quantum dot containing finite number of electrons at zero magnetic field. To estimate the excitation energies analytically we follow the energy weighted sum-rule approach. We consider the most general multipole excitation with angular momentum l, and the breathing mode excitation (monopole excitation) of a large quantum dot, for three different types of effective electron-electron interaction. These are the logarithmic interaction, the short range pseudopotential and the coulomb interaction. The ground state density of the many-body system is calculated within Thomas-Fermi approximation. The analytical results for the collective excitation energies and their dependence on the system size and other external parameters are discussed in detail.

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