半导体微晶电了激发态的量子尺寸效应

对禁闭在球形量子阱中的电子-空穴系统计算了6个较低的Wannier激子态随球半径的变化。在球半径很大的情况下,这些态近似为简并的。随着球半径减小,它们一致地向高能移动,并且相互间的裂距越来越大。

QUANTUM SIZE EFFECT ON THE EXCITED ELECTRONIC STATES IN SEMICONDUCTOR CRYSTALLITES

In this paper we present a linear variational calcularion of the lower lying states of rhe electron-hole system confined in three-dimensional quantum wells with spherical shape.Because the total argular momentum L=-ir1×▽1-ir2×▽2 of rhe electron hole system in the sphere commutes with the Harmitonian, we choose the eigenfunction of L2 and L2 as the basis funcrion, which is given by Eq. (5). In (5),|n1l1m1〉 and |n2l2m2〉 are the eigenfuctions of argular-momentums of the electron and the hole respectively, which are given by Eq. (6) and Eq. (7). The matrix elements of rhe Harmiltonian (2) in this base are calculated with the formula (10) and (11). The matrix of H is divide into submatrixes. The basis funcrions with the same L and ML are atribured to the same submatrix.