Three electrons confined in multilayer quantum dots studied by the exact diagonalization method

2006 ◽  
Vol 74 (11) ◽  
Author(s):  
Wenfang Xie
Keyword(s):  
Quantum Dots ◽  
Exact Diagonalization ◽  
Diagonalization Method ◽  
Exact Diagonalization Method

The electronic states and magnetization of coupled AlGaAs/GaAs quantum dots in magnetic fields

2018 ◽  
Vol 32 (02) ◽  
pp. 1850011 ◽  
Author(s):  
Eshtiaq Hijaz ◽  
Mohammad K. Elsaid
Keyword(s):  
Magnetic Field ◽  
Quantum Dots ◽  
Ground State ◽  
Theoretical Study ◽  
Electronic States ◽  
Exact Diagonalization ◽  
Interacting Electrons ◽  
Diagonalization Method ◽  
Exact Diagonalization Method ◽  
Good Agreement

We present a theoretical study of electronic states and magnetization of two interacting electrons confined in coupled quantum dots (CQDs) presented in a magnetic field. We obtain the eigenenergies of the CQD by solving the relative two-dimensional (2D) Hamiltonian using the combined variational–exact diagonalization method. The dependence of magnetization on temperature, magnetic field strength, confining frequency and barrier height has been investigated. We have shown the singlet–triplet transitions in the ground state of the CQD spectra and the corresponding jumps in the magnetization curves. The comparisons show that our results are in very good agreement with the reported works.

FOUR-ELECTRON SYSTEMS CONFINED IN MULTILAYER QUANTUM DOTS

2007 ◽  
Vol 21 (21) ◽  
pp. 1399-1413 ◽  
Author(s):  
WENFANG XIE
Keyword(s):  
Quantum Dots ◽  
Angular Momentum ◽  
Ground State ◽  
Electronic Structures ◽  
Electron Interaction ◽  
Magic Numbers ◽  
Electron Systems ◽  
Diagonalization Method ◽  
Exact Diagonalization Method ◽  
Ground State Electron

In this paper, we studied four-electron systems confined in one-, two-, and four-layer quantum dots, by the exact diagonalization method. A vertical magnetic field to the confinement plane is considered. The ground-state electronic structures and the spin and angular momentum transitions for different magnetic fields are investigated. Series of magic numbers of angular momentum which minimize the ground-state electron–electron interaction energy have been discovered. These are connected to the exchange and rotational symmetries of the systems.

THE MASS OF H-DIBARYON IN AN SU(3) SKYRME MODEL

1990 ◽  
Vol 05 (11) ◽  
pp. 887-890 ◽  
Author(s):  
HYUN KYU LEE ◽  
JOON HA KIM
Keyword(s):  
Exact Diagonalization ◽  
Skyrme Model ◽  
Baryon Spectrum ◽  
H Dibaryon ◽  
Diagonalization Method ◽  
Exact Diagonalization Method ◽  
Best Fit

The mass of H-dibaryon is estimated in an SU(3) Skyrme model using the exact diagonalization method. With the parameters determined from the best fit to the B = 1 baryon spectrum, the mass of H-dibaryon is obtained as 1818 MeV.

BINDING ENERGIES OF A NEGATIVE TRION IN A QUANTUM DOT

2008 ◽  
Vol 22 (24) ◽  
pp. 2421-2428
Author(s):  
WENFANG XIE
Keyword(s):  
Quantum Dot ◽  
Exact Diagonalization ◽  
Binding Energies ◽  
Triplet States ◽  
Mass Ratio ◽  
Electron Hole ◽  
Spin Singlet ◽  
Diagonalization Method ◽  
Singlet And Triplet States ◽  
Exact Diagonalization Method

The binding energies of a negative trion confined in a quantum dot are calculated using the exact diagonalization method. Both the spin singlet and triplet states are considered. Our results show that the binding energies are sensitive to the strength of the confinement potential as well as the electron–hole mass ratio.

Few-electron quantum-dot spintronics

2017 ◽  
Author(s):  
D.V. Melnikov ◽  
J. Kim ◽  
L.-X. Zhang ◽  
J.-P. Leburton
Keyword(s):  
Electron System ◽  
Stability Diagram ◽  
Theoretical Description ◽  
Exact Diagonalization ◽  
Many Body ◽  
Approximate Methods ◽  
Diagonalization Method ◽  
The Stability ◽  
The Many ◽  
Exact Diagonalization Method

This article examines the spin and charge properties of double and triple quantum dots (QDs) populated containing just a few electrons, with particular emphasis on laterally coupled QDs. It first describes the theoretical approach, known as exact diagonalization method, utilized on the example of the two-electron system in coupled QDs that are modelled as two parabolas. The many-body problem is solved via the exact diagonalization method as well as variational Heitler–London and Monte Carlo methods. The article proceeds by considering the general characteristics of the two-electron double-QD structure and limitations of the approximate methods commonly used for its theoretical description. It also discusses the stability diagram for two circular dots and investigates how its features are affected by the QD elliptical deformations. Finally, it assesses the behavior of the two-electron system in the realistic double-dot confinement potentials.

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