Abstract
The radiative corrections of nanostructures are investigated by applying a nonlocal theory to a model of semiconductor spheres which are assembled one-, two- and three-dimensionally. An approximate sum rule for radiative corrections and the relation between finite and infinite lattices are given. It is shown that radiative correction strongly depends on the shape as well as the size. For a linear chain, the radiative correction gets saturated when the system length becomes comparable to the wavelength of resonant light. For cubic systems, the radiative width deviates from the size linearity for a surprisingly small size. The two-dimensional case is marginal. This peculiar shape dependence originates from the dipole-dipole interaction.
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