Nonlinear phonon-assisted cyclotron resonance via two-photon process in asymmetrical Gaussian potential quantum wells

•Nonlinear phonon assisted-cyclotron resonance in a AGPQWs has been investigated.•The two-photon absorption process, confined and interface phonons have been included.•The MOAC and HWHM are significantly dependent on Al-concentration and hydrostatic pressure.•These parameters can be used to control the optical properties of AGPQWs.

We theoretically study the combined effect of aluminum concentration and hydrostatic pressure on the nonlinear phonon-assisted cyclotron resonance (PACR) effect in asymmetrical Gaussian potential quantum wells (AGPQWs). The effect of confined and interface phonon modes on PACR is also studied. The analytical expression of the magneto-optical absorption coefficient (MOAC) is obtained by relating it to the transition probability for the absorption of photons. The numerical results are calculated for both bulk GaAs and GaAs/Ga1−xAlxAs materials. The obtained results show that the MOAC decreases in the magnitude and gives a red-shift as both concentration and pressure increase, while the half-width at half-maximum (HWHM) increases with concentration, but decreases with hydrostatic pressure in both one- and two-photon absorption processes. The aluminum concentration and hydrostatic pressure can be used to control the optical properties of the AGPQWs.