Effect of electron-phonon interaction on the electronic properties of an axially symmetric polar semiconductor quantum wire with transverse parabolic confinement

A variational calculation based on the Lee-Low-Pines-Huybrechts method is performed to obtain the polaronic binding energies corresponding to the ground state and the first excited state of an electron in a polar quantum wire with parabolic confinement in the transverse direction. It is shown that the polaronic effects are considerably large and size-dependent if the effective radius of the wire is reduced below a certain length scale. It is also shown that even the longitudinal effective mass of the polaron is strongly enhanced by the transverse confinement in a quantum wire.