ENERGY-MOMENTUM RELATION FOR POLARONS IN QUANTUM-WELL WIRES

The interaction of quasi-one-dimensional electrons and longitudinal-op tical (LO) phonons is calculated, Results are presented for the polaro n correction to the electric subbands and the polaron effective mass. Using improved Wigner-Brillouin perturbation theory, we have investiga ted in detail the energy-momentum relation for quasi-one-dimensional p olarons. It is shown that the dispersion curves of all subbands bend o ver and are pinned at the phonon continuum above the renormalized grou nd state. This should result in a spatial oscillation of the electron group velocity in real quantum-well wires.