Electronic structures of few electrons in a quantum dot under magnetic fields

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Abstract

The many-body effect on the electronic structures of a few electrons confined in a quantum dot is calculated, under magnetic fields, by the exact diagonalization method. When the Coulomb interaction is comparable to the one-electron level spacings and the magnetic field is not too large, the peak positions of the Coulomb oscillation reflect a shell structure of the one-electron levels, which is in semi-quantitative agreement with experimental results [Tarucha et al.: Phys. Rev. Lett. 77 (1996) 3613]. Under strong magnetic fields, the correlation effect results in transitions of the ground state. These transitions can be observed as cusps of the magnetic-field dependence of the peak positions, in the presence of the Zeeman effect.

Original languageEnglish
Pages (from-to)3924-3927
Number of pages4
JournalJapanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers
Volume36
Issue number6 SUPPL. B
Publication statusPublished - 1997 Jun

Fingerprint

Semiconductor quantum dots
Electronic structure
quantum dots
Magnetic fields
electronic structure
Electrons
Electron transitions
magnetic fields
electrons
Zeeman effect
Coulomb interactions
cusps
Ground state
spacing
oscillations
ground state
interactions

Keywords

  • Correlation effect
  • Coulomb blockade
  • Coulomb oscillation
  • Exact diagonalization
  • Quantum dot

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

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abstract = "The many-body effect on the electronic structures of a few electrons confined in a quantum dot is calculated, under magnetic fields, by the exact diagonalization method. When the Coulomb interaction is comparable to the one-electron level spacings and the magnetic field is not too large, the peak positions of the Coulomb oscillation reflect a shell structure of the one-electron levels, which is in semi-quantitative agreement with experimental results [Tarucha et al.: Phys. Rev. Lett. 77 (1996) 3613]. Under strong magnetic fields, the correlation effect results in transitions of the ground state. These transitions can be observed as cusps of the magnetic-field dependence of the peak positions, in the presence of the Zeeman effect.",
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AB - The many-body effect on the electronic structures of a few electrons confined in a quantum dot is calculated, under magnetic fields, by the exact diagonalization method. When the Coulomb interaction is comparable to the one-electron level spacings and the magnetic field is not too large, the peak positions of the Coulomb oscillation reflect a shell structure of the one-electron levels, which is in semi-quantitative agreement with experimental results [Tarucha et al.: Phys. Rev. Lett. 77 (1996) 3613]. Under strong magnetic fields, the correlation effect results in transitions of the ground state. These transitions can be observed as cusps of the magnetic-field dependence of the peak positions, in the presence of the Zeeman effect.

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