Electronic structure and correlated wave functions of a few electron quantum dots
Abstract
The energy spectra and wave functions of a few electrons confined by a quasionedimensional harmonic and anharmonic potentials have been studied by using a full configuration interaction method employing a Cartesian anisotropic Gaussian basis set. The energy spectra are classified into three regimes of the strength of confinement, namely, large, medium and small. The polyad quantum number defined by a total number of nodes in the wave functions is shown to be a key ingredient to interpret the energy spectra for the whole range of the confinement strength. The nodal pattern of the wave functions exhibits normal modes for the harmonic confining potential, indicating collective motions of electrons. These normal modes are shown to undergo a transition to local modes for an anharmonic potential with large anharmonicity.
 Authors:
 Laboratory of Physics, College of Science and Technology, Nihon University, 7241 Narashinodai, Funabashi, Chiba 2748501 (Japan)
 College of Humanities and Sciences, Nihon University, Tokyo 1568550 (Japan)
 Institute of Quantum Science, College of Science and Technology, Nihon University, Chiyodaku, Tokyo 1018308 (Japan)
 Publication Date:
 OSTI Identifier:
 22390882
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: AIP Conference Proceedings; Journal Volume: 1642; Journal Issue: 1; Conference: ICCMSE2010: International Conference of Computational Methods in Sciences and Engineering 2010, Kos (Greece), 38 Oct 2010; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 77 NANOSCIENCE AND NANOTECHNOLOGY; ANISOTROPY; CONFIGURATION INTERACTION; CONFINEMENT; ELECTRONIC STRUCTURE; ELECTRONS; ENERGY SPECTRA; ONEDIMENSIONAL CALCULATIONS; POTENTIALS; QUANTUM DOTS; QUANTUM NUMBERS; WAVE FUNCTIONS
Citation Formats
Sako, Tokuei, Ishida, Hiroshi, and Fujikawa, Kazuo. Electronic structure and correlated wave functions of a few electron quantum dots. United States: N. p., 2015.
Web. doi:10.1063/1.4906647.
Sako, Tokuei, Ishida, Hiroshi, & Fujikawa, Kazuo. Electronic structure and correlated wave functions of a few electron quantum dots. United States. doi:10.1063/1.4906647.
Sako, Tokuei, Ishida, Hiroshi, and Fujikawa, Kazuo. 2015.
"Electronic structure and correlated wave functions of a few electron quantum dots". United States.
doi:10.1063/1.4906647.
@article{osti_22390882,
title = {Electronic structure and correlated wave functions of a few electron quantum dots},
author = {Sako, Tokuei and Ishida, Hiroshi and Fujikawa, Kazuo},
abstractNote = {The energy spectra and wave functions of a few electrons confined by a quasionedimensional harmonic and anharmonic potentials have been studied by using a full configuration interaction method employing a Cartesian anisotropic Gaussian basis set. The energy spectra are classified into three regimes of the strength of confinement, namely, large, medium and small. The polyad quantum number defined by a total number of nodes in the wave functions is shown to be a key ingredient to interpret the energy spectra for the whole range of the confinement strength. The nodal pattern of the wave functions exhibits normal modes for the harmonic confining potential, indicating collective motions of electrons. These normal modes are shown to undergo a transition to local modes for an anharmonic potential with large anharmonicity.},
doi = {10.1063/1.4906647},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1642,
place = {United States},
year = 2015,
month = 1
}

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