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

Yusuke Asari, Kyozaburo Takeda, Hiroyuki Tamura

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    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 (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.

    Original languageEnglish
    Pages (from-to)2041-2050
    Number of pages10
    JournalJapanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers
    Volume44
    Issue number4 A
    DOIs
    Publication statusPublished - 2005 Apr

    Fingerprint

    Electronic states
    Semiconductor quantum dots
    quantum dots
    Magnetic fields
    orbitals
    electronics
    magnetic fields
    Ground state
    Plasma confinement
    ground state
    Electrons
    Angular momentum
    Chemical potential
    Electronic structure
    electrons
    angular momentum
    electronic structure
    intervals
    energy
    causes

    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

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    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 (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.",
    keywords = "Hund's rule, Magnetic field, Quantum dot orbitals, Spherical quantum dot, Spin transition, Unrestricted Hartree-Fock method",
    author = "Yusuke Asari and Kyozaburo Takeda and Hiroyuki Tamura",
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    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

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    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.

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    KW - Magnetic field

    KW - Quantum dot orbitals

    KW - Spherical quantum dot

    KW - Spin transition

    KW - Unrestricted Hartree-Fock method

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