Exciton and Biexciton Binding Energies in Rectangular Quantum Dots

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2005,（11）
• 页码范围: 2963-2965
• 页数: 3页
• 语种: 英文

摘要

In the effective mass approximation, using the variational technology and a method of expanding the wavefunctions of exciton in terms of the eigenfunctions of the noninteracting electron-hole system, we calculate the exciton and biexciton ground state binding energies for rectangular quantum dots (QDs). In the calculation, a three-dimensional Fourier expansion of Coulomb potential is used to remove the numerical difficulty with the 1/r singularity, and it considerably reduces the computational effort. Our results agree fairly well with the previous results. It is found that the binding energies are highly correlated to the size of QDs. The quantum confinement effect of spherical QDs about biexciton is obviously larger than that of rectangular QDs when the well width is narrower than 2.0aB.