SIZE-DEPENDENT AND SHAPE-DEPENDENT OPTICAL-PROPERTIES OF ASSEMBLED SEMICONDUCTOR SPHERES

The radiative corrections of nanostructures are investigated by applyi ng a nonlocal theory to a model of semiconductor spheres which are ass embled one-, two- and three-dimensionally. An approximate sum rule for radiative corrections and the relation between finite and infinite la ttices are given. It is shown that radiative correction strongly depen ds on the shape as well as the size. For a linear chain, the radiative correction gets saturated when the system length becomes comparable t o the wavelength of resonant light. For cubic systems, the radiative w idth deviates from the size linearity for a surprisingly small size. T he two-dimensional case is marginal. This peculiar shape dependence or iginates from the dipole-dipole interaction.