Influence of confined optical phonons on the Hall effect in a quantum well with high infinite potential under the presence of an intense electromagnetic wave

The influence of confined optical phonons on the Hall effect in a quantum well under the present of a perpendicular magnetic field and an in-plane intense electromagnetic wave, has been theoretical studied. The analytical expression of the Hall coefficient for electron — confined optical phonon interaction is obtained base on the quantum kinetic equation method. It is found that the Hall coefficient depends on the frequency and amplitude of the electromagnetic wave, the magnetic induction, the quantum well width, the temperature of the system and especially the quantum number m characterizing the phonon confinement. Numerical calculations are also applied for AlGaAs/GaAs/AlGaAs quantum well to show the nonlinear dependence of the Hall coefficient on the electromagnetic wave amplitude and the remarkable contribution of confined optical phonons on the magnitude of the Hall coefficient as well as the magneto-phonon resonance condition. All results are compared with that in case of unconfined phonons to see differences.