Abstract： In the effective mass approximation, the binding energy of an exciton bound to a neutral donor (D0, X) is calculated variationally for rectangular GaAs quantum-well wires (QWWs) by using a three-parameter wavefunction. The Coulomb interaction terms are treated exactly in their full three-dimensional forms throughout the calculation, especially in the case of (D0, X), which is a more physically realistic procedure than those employed in previous calculations which used effective one-dimensional potential [Chin. Phys. Lett. 21 (2004) 919]. Our treatment is unique in the use of a two-dimensional Fourier expansion of the Coulomb potential, which removes the numerical difficulty with the 1/r singularity and considerably reduces the computational effort. In addition, we also calculate the binding energies of (D0, X) when the donor is in different positions (at the centre, boundary and corner). The average interparticle distances in the square QWWs are discussed.
LIU Jian-Jun;WANG Xue-Feng. Properties of Excitons Bound to Neutral Donors in GaAs Quantum-Well Wires[J]. 中国物理快报, 2005, 22(3): 678-681.
LIU Jian-Jun, WANG Xue-Feng. Properties of Excitons Bound to Neutral Donors in GaAs Quantum-Well Wires. Chin. Phys. Lett., 2005, 22(3): 678-681.
2005, Vol. 22 
