Dependence of the electron-LO-phonon intrasubband scattering rates near a cylindrical cavity on the axial applied magnetic field

Abstract

Electron-LO-phonon intrasubband scattering rates near a cylindrical cavity are calculated as functions of the axial applied magnetic field and the electric potential of the heterostructure. Confinement of phonon modes by the potential of the heterostructure is neglected and the scattering of electrons is assumed to be via bulk phonon modes. A direct consequence of having a forbidden region for the motion of the electrons leads to the lowest-order electron's energy subbands taking turns at becoming the ground state, following the sequence {m = 0, −1, −2, …, −N} of azimuthal quantum numbers. The intrasubband scattering integrals are found to be characterized by strong quasi-periodic oscillations in their variations with the phonon radial wave number. For moderate to large radius of the cavity, the intrasubband scattering rates also exhibit a strong oscillatory behaviour, nevertheless highly aharmonic, in their variations with the applied magnetic field.