Electron interaction with confined and interface polar optical phonons and electron mobility in quantum wires

The electron scattering in a cylindrical quantum wire embedded in a dielectric medium is studied by taking into account the phonon confinement effect. Expressions for intrasubband scattering rates have been obtained previously. Here using the Born approximation we obtain analytical expressions for intersubband scattering rates as well. Taking into account an inelasticity of the electron–phonon interaction the expressions for electron relaxation time and mobility are also derived. The predomination regions of different phonon modes and the phonon confinement effect on the scattering rate for intrasubband transitions are found. It is shown that the consideration of phonon confinement leads to mobility increase.