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

Akiko Natori, Daisuke Nakamura

研究成果: ジャーナルへの寄稿Conference article

7 引用 (Scopus)

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, 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.

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
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 19986 4 1998

Fingerprint

Electron transitions
electron states
Electron energy levels
Semiconductor quantum dots
quantum dots
Magnetic fields
Ground state
magnetic fields
Electrons
Phase diagrams
ground state
eigenvectors
electrons
phase diagrams
Angular momentum
Excited states
quantum numbers
angular momentum
orbitals
symmetry

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.

:: Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers, 巻 38, 番号 1 B, 01.01.1999, p. 380-383.

研究成果: ジャーナルへの寄稿Conference article

@article{b7214701c5b44efd8cd144a5f8cd178d,
title = "Magnetic-Field-Induced Transitions of Many-Electron States in Quantum Dots",
abstract = "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.",
author = "Akiko Natori and Daisuke Nakamura",
year = "1999",
month = "1",
day = "1",
doi = "10.1143/JJAP.38.380",
language = "English",
volume = "38",
pages = "380--383",
journal = "Japanese Journal of Applied Physics, Part 1: Regular Papers & Short Notes",
issn = "0021-4922",
publisher = "Institute of Physics",
number = "1 B",

}

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 -