Two-electron quantum dots in a magnetic field

Elsaid, Mohammad K.

doi:10.1088/0268-1242/10/10/003

Cited by 22 publications

(15 citation statements)

References 25 publications

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“…͑20͒ is not known, typically one utilizes miscellaneous methods for its solution. [3][4][5][6][7][8]10,27,28 In the present work, we expand the solution in the basis of the eigenstates of the single-electron relative Hamiltonian as…”

Section: Two-electron Quantum Diskmentioning

confidence: 99%

“…͑25͒ and ͑26͒ make our calculation scheme competitive with other approaches. [6][7][8]10 Also, because of that, the procedure described here may be extended to the investigation of the excitons in quantum dots 27 or to calculations of the properties of quantum rings. 31 The material parameters that we have used in our model calculation are given by…”

Section: ͑24͒mentioning

confidence: 99%

“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14] Growing theoretical interest on transport, optical, and thermodynamic properties of these synthetic ultrasmall devices is based on impressive achievements of nanotechnologies. The number of electrons in such artificial systems is changed in a controllable way and may vary from zero to a few tens or hundreds.…”

Section: Introductionmentioning

confidence: 99%

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Persistent current of a two-electron quantum disk

et al. 1997

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The persistent current of a clean two-electron quantum disk subjected to perpendicular magnetic fields is studied theoretically with an emphasis on the role of the electron-electron interaction. It is shown that the interaction reduces the magnitude of currents in general and also gives rise to the discontinuities in currents at low temperatures, compared with the results from the ideal quantum disk. The latter anomalous quantum behavior appears at the particular magnetic fields, at which the crossings take places in the energy spectra, and disappears as temperature increases. We found that an exact treatment of the exchange symmetry and the spin splittings in the energy is important in specifying the precise values of the magnetic field ͑and the steepness of the confinement potential͒ to induce such quantum effects. ͓S0163-1829͑97͒03415-2͔ II. IDEAL QUANTUM DISKBefore treating interacting electrons, we find it useful to summarize the results of the energy spectrum and associated PHYSICAL REVIEW B 15 APRIL 1997-I VOLUME 55, NUMBER 15 55

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Section: Two-electron Quantum Diskmentioning

confidence: 99%

Section: ͑24͒mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Persistent current of a two-electron quantum disk

et al. 1997

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“…Kandemir [10,11] found the closed form solution for this QD Hamiltonian and the corresponding eigenstates for particular values of the magnetic field strength and confinement frequencies. Elsaid [12][13][14][15][16] used the dimensional expansion technique, in different works, to solve the QD-Hamiltonian and obtain the energies of the two interacting electrons for any arbitrary ratio of Coulomb to confinement energies and gave an explanation to the level crossings. * corresponding author; e-mail: mkelsaid@najah.edu Maksym and Chakraborty [17] implemented the diagonalization method to obtain the eigenenergies of interacting electrons in a magnetic field and show the transitions in the angular momentum of the ground states.…”

Section: Introductionmentioning

confidence: 99%

Magnetic Susceptibility of Coupled Double GaAs Quantum Dot in Magnetic Fields

Elsaid

Hijaz

2017

Acta Phys. Pol. A

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We calculate the magnetic susceptibility of two interacting electrons confined in a coupled double quantum dot presented in a magnetic field by solving the relative Hamiltonian using the combined variational and exact diagonalization methods. We have investigated the dependence of the magnetic susceptibility on temperature, magnetic field strength, confining frequency, and barrier height. The singlet-triplet transitions in the ground state of the quantum dot spectra and the corresponding jumps in the magnetic susceptibility curves have been shown. The comparisons show that our results are in very good agreement with reported works.

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“…Kandemir [10,11] had found the closed form solution for this QD Hamiltonian and the corresponding eigenstates for particular values of the magnetic field strength and confinement frequencies. Elsaid [12][13][14][15][16] had used the dimensional expansion technique, in different works, to study and solve the QD-Hamiltonian and obtain the energies of the two interacting electrons for any arbitrary ratio of coulomb to confinement energies and gave an explanation to the level crossings.…”

Section: Introductionmentioning

confidence: 99%

Magnetization of GaAs Parabolic Quantum Dot by Variation Method

Shaer¹,

Elsaid²,

El-Hasan³

2016

JPSA

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Abstract:The magnetization of two interacting electrons confined in a quantum dot presented in a magnetic field had been calculated by solving the relative Hamiltonian using variational method. We had investigated the dependence of the magnetization on temperature, magnetic field strength and confining frequency. The singlet-triplet transitions in the ground state of the quantum dot spectra and the corresponding jumps in the magnetization curves had been shown. The comparisons show that our results are in very good agreement with reported works.

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Two-electron quantum dots in a magnetic field

Cited by 22 publications

References 25 publications

Persistent current of a two-electron quantum disk

Persistent current of a two-electron quantum disk

Magnetic Susceptibility of Coupled Double GaAs Quantum Dot in Magnetic Fields

Magnetization of GaAs Parabolic Quantum Dot by Variation Method

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