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

Yusuke Asari, Kyozaburo Takeda, Hiroyuki Tamura

研究成果: Article査読

2 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)4424-4433
ページ数10
ジャーナルJapanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers
43
7 A
DOI
出版ステータスPublished - 2004 7 1

ASJC Scopus subject areas

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

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