### 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 |
---|---|

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 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### 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

**New shell structures and their ground electronic states in spherical quantum dots (II) under magnetic field.** / Asari, Yusuke; Takeda, Kyozaburo; Tamura, Hiroyuki.

Research output: Contribution to journal › Article

*Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers*, vol. 44, no. 4 A, pp. 2041-2050. https://doi.org/10.1143/JJAP.44.2041

}

TY - JOUR

T1 - New shell structures and their ground electronic states in spherical quantum dots (II) under magnetic field

AU - Asari, Yusuke

AU - Takeda, Kyozaburo

AU - Tamura, Hiroyuki

PY - 2005/4

Y1 - 2005/4

N2 - 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*l0 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.

AB - 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*l0 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.

KW - Hund's rule

KW - Magnetic field

KW - Quantum dot orbitals

KW - Spherical quantum dot

KW - Spin transition

KW - Unrestricted Hartree-Fock method

UR - http://www.scopus.com/inward/record.url?scp=21344453497&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21344453497&partnerID=8YFLogxK

U2 - 10.1143/JJAP.44.2041

DO - 10.1143/JJAP.44.2041

M3 - Article

AN - SCOPUS:21344453497

VL - 44

SP - 2041

EP - 2050

JO - Japanese Journal of Applied Physics, Part 1: Regular Papers & Short Notes

JF - Japanese Journal of Applied Physics, Part 1: Regular Papers & Short Notes

SN - 0021-4922

IS - 4 A

ER -