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arXiv · 2009.09920

Two-electron quantum dot in a magnetic field: Analytic solution for finite potential model

S. Chaudhuri
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Abstract

The energy levels of two interacting electrons in a 2D quantum dot confined by a finite Gaussian potential and subjected to a uniform magnetic field perpendicular to the plane of the dot are studied. Analytic results are obtained for the energy spectrum of the two-electron system as well as for a single electron. The magnetic field at which the ground state transitions from the spin-singlet to the spin-triplet state for the two-electron system is calculated and compared with the experimental data and previous theoretical results for the infinite harmonic confining potential. The ground state energy of the two-electron system as a function of the magnetic field is calculated and compared with the experimental data.

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S. Chaudhuri. 2020-09-21. Two-electron quantum dot in a magnetic field: Analytic solution for finite potential model. https://doi.org/10.1016/j.physe.2020.114571

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