New shell structures and their ground electronic states in spherical quantum dots (II) under magnetic field

Yusuke Asari*, Kyozaburo Takeda, Hiroyuki Tamura

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We theoretically studied the electronic structure of the three-dimensional spherical parabolic quantum dot (3D-SPQD) under a magnetic field. We obtained the quantum dot orbitals (QDOs) and determined the ground state by using the extended UHF approach where the expectation values of the z component of the total orbital angular momentum (L̂z) are conserved during (the scf-procedure. The single-electron treatment predicts that the applied magnetic field (B) creates k-th new shells at the magnetic field of Bk =k(k + 2)/(k+ 1)ω0 with the shell-energy interval of ℏω0(k + 1), where ω0(= ℏ/m*l02) is the characteristic frequency originating from the spherical parabolic confinement potential. These shells are formed by the level crossing among multiple QDOs. The interelectron interaction breaks the simple level crossing but causes complicated dependences among the total energy, the chemical potential and their differences (magic numbers) with the magnetic field or the number of confinement electrons. The ground state having a higher spin multiplicity is theoretically predicted on the basis of the quasi-degeneracies of the QDOs around these shells.

Original languageEnglish
Pages (from-to)2041-2050
Number of pages10
JournalJapanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers
Issue number4 A
Publication statusPublished - 2005 Apr


  • Hund's rule
  • Magnetic field
  • Quantum dot orbitals
  • Spherical quantum dot
  • Spin transition
  • Unrestricted Hartree-Fock method

ASJC Scopus subject areas

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


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