|Title||Polarons in cylindrical quantum wires|
|Publication Type||Articolo su Rivista peer-reviewed|
|Year of Publication||2002|
|Authors||Buonocore, F., Iadonisi G., Ninno D., and Ventriglia F.|
|Journal||Physical Review B - Condensed Matter and Materials Physics|
|Keywords||article, calculation, dielectric constant, electron, Energy, mathematical analysis, quantum mechanics|
We present a study of polaron self-energies in a cylindrical quantum wire considering both volume and surface phonon modes in the dielectric continuum approximation. Full advantage is taken of the problem symmetries, and a generalization of the Lee-Low-Pines unitary transformation has been used. For the interaction with the volume phonon modes, we show that two opposite behaviors can be found for the self-energy as a function of the wire size, depending on whether or not the phonon modes are confined. These results are consistent with those concerning the mass renormalization and the first wire excited-state self-energy. Finally, we have also calculated the polaron self-energy for the electron- surface-phonon interaction showing that in this case the self-energy depends on the difference between the wire and embedding medium dielectric constants; it increases on reducing the wire size and can cross the volume confined polaron self-energy.
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