### Abstract

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 (L̂_{z}) 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 B_{k} =k(k + 2)/(k+ 1)ω_{0} with the shell-energy interval of ℏω_{0}(k + 1), where ω_{0}(= ℏ/m*l_{0}^{2}) 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 language | English |
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Pages (from-to) | 2041-2050 |

Number of pages | 10 |

Journal | Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers |

Volume | 44 |

Issue number | 4 A |

DOIs | |

Publication status | Published - 2005 Apr 1 |

### Keywords

- 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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## Cite this

*Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers*,

*44*(4 A), 2041-2050. https://doi.org/10.1143/JJAP.44.2041