Effect of Hermanson's spatial dielectric function on donor impurity binding energy in a cylindrical cross-sectional GaAs/GaAlAs quantum well wires on infinite length

512-514We have used a variational technique to calculate the binding energy of a hydrogenic donor impurity in the dielectric regime and that of non-hydrogenic donor impurity in the Hermanson's spatial dielectric function regime. The results show, in both cases, the usual increase in binding energy with decreasing quantum well wire (QWW) radius obtained by Csavinszky and Oyoko [Phys Rev B,43 (1991) 9262]. However, in this work we have also calculated the va riation with QWW dimensions. The results show that the difference in donor binding energy in the two regimes under consideration varies with QWW radius: As the QWW decreases the binding energy difference increases slowly up to a QWW radius of abou t 60 atomic units (aa) Then for smaller radius it increases more rapidly with decreasing QWW radius