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The biexciton binding energy in semiconductor quantum dots has been the subject of extensive theoretical study.
When a biexciton is annihilated, it disintegrates into a free exciton and a photon.
The actual biexciton binding energy is inversely proportional to the physical nanotube radius.
Because a biexciton is a composite of two electrons and two holes, we must solve a four-body problem under spatially restricted conditions.
Thus, a biexciton binding energy exceeding the inhomogeneous exciton line width is predicted for a wide range of nanotubes.
Provided the interaction is attractive, an exciton can bind with other excitons to form a biexciton, analogous to a dihydrogen molecule.
To consistently treat this phenomenon of disorder induced dephasing the SBEs need to be solved including biexciton correlations.
The biexciton binding energy in carbon nanotube is quite accurately approximated by an inverse dependence on , except perhaps for the smallest values of .
The biexciton binding energies for CuCl quantum dots, as measured by the site selective luminescence method, increased with decreasing quantum dot size.
The enhanced Coulomb interaction in microcrystallites still increase the biexciton binding energy in the large-size regime, where the quantum confinement energy of excitons is not considerable.
The energy of the photon is smaller than that of the biexciton by the biexciton binding energy, so the biexciton luminescence peak appears on the low-energy side of the exciton peak.