{ "id": "cond-mat/9912079", "version": "v1", "published": "1999-12-06T09:46:29.000Z", "updated": "1999-12-06T09:46:29.000Z", "title": "Collective excitations in Quantum Dot", "authors": [ "Subhasis Sinha" ], "comment": "Tex file, 4 figures ps files", "doi": "10.1016/S1386-9477(00)00112-0", "categories": [ "cond-mat.mes-hall" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "1999-12-06T09:46:29.000Z" } ], "analyses": { "keywords": [ "collective excitation", "quantum dot containing finite number", "excitation energies", "interaction", "large quantum dot" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }