论文标题

磁场中的两电子量子点:有限电位模型的分析解决方案

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

论文作者

Chaudhuri, S.

论文摘要

研究了2D量子点中两个相互作用电子的能级,该量子点被有限的高斯电势限制在垂直于DOT平面的均匀磁场。获得了两电子系统的能量谱以及单个电子的分析结果。计算了从旋转单词到双电子系统的自旋三个状态的基态过渡的磁场,并将其与实验数据和先前的无限谐波限制电势的实验数据和先前的理论结果进行了比较。计算两电子系统的基态能与磁场的函数,并将其与实验数据进行比较。

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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