Hund's First and Second Rules in Spherical Quantum Dots (I) in the Zero-Magnetic Field
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概要
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We theoretically studied the validity of Hund's first and second rules in the three-dimensionally spherically parabolic quantum dot (3D-SPQD). We extended the unrestricted Hartree–Fock (exUHF) approach in order to determine the ground state while conserving the expectation values of the total orbital angular momentum $\langle\hat{L}{}^{2}\rangle$ and its $z$ component $\langle\hat{L}_{z}\rangle$ during the scf procedure. We applied this exUHF method to a GaAs 3D-SPQD and obtained the ground-state energy spectra. Our calculation reveals that, among those states having the largest spin multiplicities, the state giving the largest value of $\langle\hat{L}{}^{2}\rangle$ is energetically more stable than the others having a smaller value of $\langle\hat{L}{}^{2}\rangle$; that is the spin filling in the 3D-SPQD obeys Hund's first and second rules.
- Published by the Japan Society of Applied Physics through the Institute of Pure and Applied Physicsの論文
- 2004-07-15
著者
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TAMURA Hiroyuki
Advanced Research Institute for Science and Engineering, Waseda University
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Asari Yusuke
Department Of Material Science School Of Science And Engineering Waseda University
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Takeda Kyozaburo
Department Of Materials Science And Engineering School Of Science And Engineering Waseda University
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Takeda Kyozaburo
Department of Electrical Engineering and Bioscience, Graduate School of Advanced Science and Engineering, Waseda University, Shinjuku, Tokyo 169-8555, Japan
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