Hund's first and second rules in spherical quantum dots (I) in the zero-magnetic field

Yusuke Asari, Kyozaburo Takeda, Hiroyuki Tamura

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    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 〈L̂2〉 and its z component 〈L̂z〉 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 〈L̂ 2〉 is energetically more stable than the others having a smaller value of 〈L̂2〉; that is the spin filling in the 3D-SPQD obeys Hund's first and second rules.

    Original languageEnglish
    Pages (from-to)4424-4433
    Number of pages10
    JournalJapanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers
    Volume43
    Issue number7 A
    DOIs
    Publication statusPublished - 2004 Jul

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    Ground state
    Semiconductor quantum dots
    quantum dots
    Magnetic fields
    ground state
    Angular momentum
    magnetic fields
    energy spectra
    angular momentum
    orbitals

    Keywords

    • Hund's rule
    • Quantum dot orbitals
    • Spherical quantum dot
    • Spin-filling
    • Total orbital angular momentum
    • Unrestricted Hartree-Fock method

    ASJC Scopus subject areas

    • Physics and Astronomy (miscellaneous)

    Cite this

    Hund's first and second rules in spherical quantum dots (I) in the zero-magnetic field. / Asari, Yusuke; Takeda, Kyozaburo; Tamura, Hiroyuki.

    In: Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers, Vol. 43, No. 7 A, 07.2004, p. 4424-4433.

    Research output: Contribution to journalArticle

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