On the Energy Spectrum of Two-Electron Quantum Dot in External Magnetic Field

2014 ◽  
pp. 55-67
Author(s):  
N. N. Bogolubov ◽  
A. V. Soldatov ◽  
S. P. Kruchinin
Keyword(s):  
Magnetic Field ◽  
Energy Spectrum ◽  
External Magnetic Field ◽  
Quantum Dot ◽  
Electron Quantum

ENTANGLEMENT IN TWO VERTICALLY COUPLED IDENTICAL SINGLE-ELECTRON QUANTUM DOTS

2002 ◽  
Vol 16 (23n24) ◽  
pp. 907-913 ◽  
Author(s):  
ZHAN-JUN ZHANG ◽  
HAO-XUE QIAO ◽  
BAI-WEN LI
Keyword(s):  
Magnetic Field ◽  
Quantum Dots ◽  
External Magnetic Field ◽  
Quantum Dot ◽  
Single Electron ◽  
Von Neumann ◽  
Electron Quantum

The evolutions of the von Neumann entropies of the low-lying states in two vertically coupled identical single-electron quantum dot systems with increasing magnetic field and inter-dot separation have been investigated. We show that both the external magnetic field and the inter-dot separation can induce the transition of the entropy of the system. Additionally, a suspicion (that is, the higher the excitation, the larger entropy) has been clarified and proven to be incorrect.

scholarly journals Magnetic field dependence of the low-energy spectrum of a two-electron quantum dot

2000 ◽  
Vol 62 (11) ◽  
pp. 7249-7256 ◽  
Author(s):  
C. E. Creffield ◽  
J. H. Jefferson ◽  
Sarben Sarkar ◽  
D. L. J. Tipton
Keyword(s):  
Magnetic Field ◽  
Energy Spectrum ◽  
Quantum Dot ◽  
Field Dependence ◽  
Magnetic Field Dependence ◽  
Low Energy ◽  
Electron Quantum

ANALYTICAL STUDY OF EXTERNAL MAGNETIC FIELD EFFECT ON THE ENERGY LEVELS OF A TWO-ELECTRON QUANTUM DOT

2010 ◽  
Vol 24 (11) ◽  
pp. 1127-1133 ◽  
Author(s):  
H. HASSANABADI ◽  
M. HAMZAVI ◽  
A. A. RAJABI
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Quantum Dot ◽  
Analytical Method ◽  
Field Effect ◽  
Analytical Study ◽  
Energy Levels ◽  
Magnetic Field Effect ◽  
Spin Interaction ◽  
Electron Quantum

We introduce an analytical method to solve the corresponding Schrödinger equation of a two-electron quantum dot in the presence of harmonic plus linear terms as well as a term related to spin interaction. Next, we calculate the energy eigenstates in the presence of an external magnetic field. The obtained results are comparable to those of [Formula: see text] expansion and WKB methods.

The magnetization and magnetic susceptibility of GaAs Gaussian quantum dot with donor impurity in a magnetic field

2019 ◽  
Vol 33 (34) ◽  
pp. 1950422 ◽  
Author(s):  
Mohammad Elsaid ◽  
Mohamoud Ali ◽  
Ayham Shaer
Keyword(s):  
Magnetic Field ◽  
Magnetic Susceptibility ◽  
Quantum Dot ◽  
Theoretical Study ◽  
Donor Impurity ◽  
Confinement Potential ◽  
Potential Depth ◽  
Diagonalization Method ◽  
Electron Quantum ◽  
Exact Diagonalization Method

We present a theoretical study to investigate the effect of donor impurity on the magnetization (M) and the magnetic susceptibility [Formula: see text] of single electron quantum dot (QD) with Gaussian confinement in the presence of a magnetic field. We solve the Hamiltonian of this system, including the spin, by using the exact diagonalization method. The ground state binding energy (BE) of an electron has been shown as a function of QD radius and confinement potential depth. The behaviors of the magnetization and the magnetic susceptibility of a QD have been studied as a function of temperature, confinement potential depth, quantum radius and magnetic field. We have shown the effect of donor impurity on the magnetization and magnetic susceptibility curves of Gaussian quantum dot (GQD).

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