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

Yusuke Asari*, Kyozaburo Takeda, Hiroyuki Tamura

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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
Issue number7 A
Publication statusPublished - 2004 Jul


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

ASJC Scopus subject areas

  • Engineering(all)
  • Physics and Astronomy(all)


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