More effective potential for interaction between two excitons in semiconductors

In this work, in analogy with the case of the hydrogen molecule, we propose a Morse type effective potential to describe exciton-exciton interaction in semiconductors. Using this Morse-type effective potential, we obtained an analytical expression for the biexciton binding energy and exciton-exciton coupling constant. This simple model potential also useful and could be applied in other new problems of interacting exciton systems, such as interaction of excitons in low dimensional systems and nano structures, optical schemes for quantum computation with two identical spherical quantum dots, which are investigated in our previous works. (author)