A computational model is presented to calculate the ground state energy of neutral and charged excitons confined in semiconductor quantum dots. The model is based on the variational Quantum Monte Carlo method and effective mass Hamiltonians. Through an iterative Newton-Rhapson process, minimizing the local energy, and (optional) parallelization of random walkers, fast and accurate estimates of both confinement and Coulomb binding energies can be obtained in standard desktop computers. To illustrate the reach of the model, we provide Fortran programs and illustrative calculations for colloidal CdSe nanoplatelets with large lateral dimensions and dielectric confinement, where electronic correlations are strong. The results compare well with exact variational calculations and largely outperform configuration interaction calculations in computational efficiency.

中文翻译：

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一种简单的变分量子蒙特卡罗有效质量方法，用于量子点中的激子和三重子

提出了一种计算模型来计算限制在半导体量子点中的中性和带电激子的基态能量。该模型基于变分量子蒙特卡罗方法和有效质量哈密顿量。通过迭代 Newton-Rhapson 过程、最小化局部能量和（可选的）随机游走器的并行化，可以在标准台式计算机中快速准确地估计限制和库仑结合能。为了说明模型的范围，我们提供了 Fortran 程序和具有大横向尺寸和介电限制的胶体 CdSe 纳米片的说明性计算，其中电子相关性很强。