Polaron in quantum nanostructures

The interest to blue–green lasers results in fabrication of nanostructures based on wide band gap ionic materials. The strong electron–phonon interaction with longitudinal optical phonons results in extra confinement of electrons within the nanostructure. This paper deals with theory of large radius polaron in quantum dots, wires and wells. It is shown that the binding polaron energy increase with decreasing of nanostructure dimensionality. The localized electrons are shown to interact with long wavelength optical phonons with wave vector q⩽1/L, L being the characteristic size of nanostructure.