### 抄録

The many-electron eigenstates of anisotropic parabolic quantum dots with cylindrical symmetry are investigated using an unrestricted Hartree-Fock method, in a magnetic field parallel to the cylindrical z-axis. The many-electron eigenstates are assigned by two quantum numbers, L_{z} and S_{z}, the z-components of the total orbital angular momentum and the total spin, respectively. The many-electron ground states exhibit sequential transitions via three stages with increasing magnetic field, At the transition magnetic fields, the ground state energy crosses that of the first-excited state with different values of (L_{z}, S_{z}) and they replace each other. The phase diagram of the ground state is obtained in a space of the magnetic field and the electron number. The phase diagram is greatly affected by the lateral extent of quantum dots, but the effect of the vertical extent is small for quasi-two-dimensional quantum dots. In these magnetic field induced transitions, the Hartree interaction plays a dominant role.

元の言語 | 英語 |
---|---|

ページ（範囲） | 380-383 |

ページ数 | 4 |

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

巻 | 38 |

発行部数 | 1 B |

DOI | |

出版物ステータス | 出版済み - 1 1 1999 |

イベント | Proceedings of the 1998 International Symposium on Formation, Physics and Device Application of Quantum Dot Structures, QDS-98 - Sapporo, 日本 継続期間: 5 31 1998 → 6 4 1998 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Engineering(all)
- Physics and Astronomy(all)

### これを引用

**Magnetic-Field-Induced Transitions of Many-Electron States in Quantum Dots.** / Natori, Akiko; Nakamura, Daisuke.

研究成果: ジャーナルへの寄稿 › Conference article

}

TY - JOUR

T1 - Magnetic-Field-Induced Transitions of Many-Electron States in Quantum Dots

AU - Natori, Akiko

AU - Nakamura, Daisuke

PY - 1999/1/1

Y1 - 1999/1/1

N2 - The many-electron eigenstates of anisotropic parabolic quantum dots with cylindrical symmetry are investigated using an unrestricted Hartree-Fock method, in a magnetic field parallel to the cylindrical z-axis. The many-electron eigenstates are assigned by two quantum numbers, Lz and Sz, the z-components of the total orbital angular momentum and the total spin, respectively. The many-electron ground states exhibit sequential transitions via three stages with increasing magnetic field, At the transition magnetic fields, the ground state energy crosses that of the first-excited state with different values of (Lz, Sz) and they replace each other. The phase diagram of the ground state is obtained in a space of the magnetic field and the electron number. The phase diagram is greatly affected by the lateral extent of quantum dots, but the effect of the vertical extent is small for quasi-two-dimensional quantum dots. In these magnetic field induced transitions, the Hartree interaction plays a dominant role.

AB - The many-electron eigenstates of anisotropic parabolic quantum dots with cylindrical symmetry are investigated using an unrestricted Hartree-Fock method, in a magnetic field parallel to the cylindrical z-axis. The many-electron eigenstates are assigned by two quantum numbers, Lz and Sz, the z-components of the total orbital angular momentum and the total spin, respectively. The many-electron ground states exhibit sequential transitions via three stages with increasing magnetic field, At the transition magnetic fields, the ground state energy crosses that of the first-excited state with different values of (Lz, Sz) and they replace each other. The phase diagram of the ground state is obtained in a space of the magnetic field and the electron number. The phase diagram is greatly affected by the lateral extent of quantum dots, but the effect of the vertical extent is small for quasi-two-dimensional quantum dots. In these magnetic field induced transitions, the Hartree interaction plays a dominant role.

UR - http://www.scopus.com/inward/record.url?scp=0032606795&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032606795&partnerID=8YFLogxK

U2 - 10.1143/JJAP.38.380

DO - 10.1143/JJAP.38.380

M3 - Conference article

AN - SCOPUS:0032606795

VL - 38

SP - 380

EP - 383

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 - 1 B

ER -