Abstract
In the effective mass approximation, the binding energy of anexciton bound to a neutral donor (D0,X) is calculatedvariationally for rectangular GaAs quantum-well wires (QWWs) by using athree-parameter wavefunction. The Coulomb interaction terms are treatedexactly in their full three-dimensional forms throughout thecalculation, especially in the case of (D0,X),which is a more physically realistic procedure than those employed inprevious calculations which used effective one-dimensional potential[Chin. Phys. Lett. 21 (2004) 919]. Our treatment is unique in the useof a two-dimensional Fourier expansion of the Coulomb potential, whichremoves the numerical difficulty with the 1/rsingularity and considerably reduces the computational effort. Inaddition, we also calculate the binding energies of (D0,X) whenthe donor is in different positions (at the centre, boundary andcorner). The average interparticle distances in the square QWWs arediscussed.
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