Quantum Peltier coefficient resonance in a GaAs/GaAsAl parabolic quantum well with confined optical phonons

Abstract

Abstract The resonance of the quantum Peltier coefficient (qPC) in a parabolic quantum well (PQW) of GaAs/GaAsAl, subjected to a dc electric field, a magnetic field and a laser radiation, has been theoretically studied by using the quantum kinetic equation method with the assumption that the confined electron-confined optical phonon scattering is essential. The obtained analytical expression for the qPC in PQW is as a function of external fields, PQW parameters, and especially the quantum number m which was changed in order to characterize the influence of confined optical phonon. When m is set to zero, we obtain the results that corresponds to the case of unconfined optical phonon. Numerical calculations are also achieved for a PQW of GaAs/GaAsAl. The obtained results show that the qPC reaches resonance peaks when investigating its dependence on magnetic field and on frequency of laser radiation. Due to the influence of confined optical phonon, the position of resonance peaks has been not only shifted but also more pronounced than in the case of unconfined optical phonon. Besides, as the amplitude of laser radiation increases, the qPC has additional resonance peaks.