@Article{JAMS-5-2,
author = {Wuyunqimuge,  and Xin, Wei and Han, Chao and Eerdunchaolu, },
title = {Properties of Spin Polarization State of Two-Electron System on Two-Dimensional Quantum Dots with Magnetic Field},
journal = {Journal of Atomic and Molecular Sciences},
year = {2014},
volume = {5},
number = {2},
pages = {100--109},
abstract = {<p style="text-align: justify;">Influence of the magnetic field on the energy of the spin polarization state
of a two-electron system in two-dimensional quantum dots (QDs) is studied by using
the method of few-body physics. As example, a numerical calculation is performed for
a GaAs semiconductor QD to show the variations of the ground-state energy $E_0,$ the
spin-singlet energy $E_1(A)$ and spin-triplet energy $E_1(S)$ of the first excited state and the
energy difference (i.e. $\Delta E(A)$ and $\Delta E(S)$) between the first excited and ground states
with the effective radius $R_0$ of the QD and the magnetic field $B.$ The results show that $E_0$ increases with increasing $B,$ but decreases with increasing $R_0;$ in the magnetic field,
the spin-singlet energy $E_1(A)$ of the first excited state splits into two levels as $E_{1+1}(A)$ and $E_{1-1}(A),$ the spin-triplet energy $E_1(S)$ of the first excited state splits into two sets
as $E_{1+1}(S)$ and $E_{1-1}(S),$ and each set consists of three &quot;fine structures&quot; which correspond
to $M_S=1,0,-1,$ respectively; each energy level (set, energy difference) decreases
with increasing $R_0,$ but there are great differences among the changes of them with $B$: $E_{1+1}(A),$ $E^{M_S}_{1+1}(S),$ $\Delta E_{1+1}(A),$ and $\Delta E^{M_S}_{1+1}(S)$ increase significantly with increasing $B,$ but the variations of $E_{1-1}(A),$ $E^{M_S}_{1-1}(S),$ $\Delta E_{1-1}(A),$ and $\Delta E^{M_S}_{1-1}(S)$ with B are relatively
slow; the splitting degree of each energy level (set, energy difference) is proportional
to the first power of the magnetic field $B.$</p>},
issn = {2079-7346},
doi = {https://doi.org/10.4208/jams.090313.120113a},
url = {https://global-sci.com/article/74294/properties-of-spin-polarization-state-of-two-electron-system-on-two-dimensional-quantum-dots-with-magnetic-field}
}