BINDING-ENERGY OF 2-DIMENSIONAL BIEXCITONS

Using a model structure for a two-dimensional (2D) biexciton confined in a quantum well, it is shown that the form of the Hamiltonian of the 2D biexciton reduces into that of an exciton. The binding energies an d Bohr radii of a 2D biexciton in its various internal energy states a re derived analytically using the fractional dimension approach. The r atio of the binding energy of a 2D biexciton to that of a 2D exciton i s found to be 0.228, which agrees very well with the recent experiment al value. The results of our approach are compared with those of earli er theories.