P. Lefebvre et al., CONFINED EXCITONS IN SEMICONDUCTORS - CORRELATION BETWEEN BINDING-ENERGY AND SPECTRAL ABSORPTION SHAPE, Physical review. B, Condensed matter, 52(8), 1995, pp. 5756-5759
We calculate excitonic absorption spectra in several types of semicond
uctor nanostructures by using an original formalism involving fraction
al-dimensional spaces. This compact, analytical formulation predicts a
surprising one-to-one mapping between the enhanced exciton Rydberg an
d the shape of the spectrum, whatever the physical origin of the confi
nement. by all-numerical calculation of the optical susceptibility we
check that different systems with identical exciton Rydbergs exhibit n
early identical spectra, strikingly close to those given by the fracti
onal-dimensional approach.