Many practical systems, particularly high-power devices, have a high density of mobile electrons that may couple with the polar optical phonons of the system through the associated electric fields. The interaction leads to the coherent coupling of plasma and polar modes with subsequent screening or anti-screening of the polar fields. This phenomenon in bulk material has been treated by a number of authors and reviewed by Richter (1982). The treatment of coupled modes in nanostructures has tended to avoid aspects associated with confinement, essentially taking the nanostructure as bulk material. However, in nanostructures, polar optical modes are confined and hybridized with an electric interface mode plus one or more TO modes, and, furthermore, electrons are also confined. Coupled plasma-lattice modes in a nanostructure have to be described with the effects of this confinement in mind, but this must be considered work in progress.
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