Linear and nonlinear phonon-assisted cyclotron resonances in parabolic quantum well under the applied electric field

In this work, the linear and nonlinear phonon-assisted cyclotron resonance (PACR) in a parabolic quantum well (PQW) under the applied electric field have been theoretically studied. General analytical expressions for the absorption power are obtained by using the perturbation approach. The effect of the electric field on PACR conditions is also indicated. We investigated numerically the dependence of PACR absorption spectrum as well as PACR-linewidth on the temperature, on the external electric and magnetic fields, and on confinement frequency. The results show that the PACR absorption spectrum is affected by the Landau levels, the electric subband levels and the electric field. Furthermore, external electric field results in increasing the possibility of the electron-phonon scattering, and plays an important role in the blue shift of PACR absorption spectrum.