LAUSR

Abstract We theoretically study the magneto-optical absorption in a GaAs/Ga 1 − s Al s As finite semi-parabolic quantum well where the two-photon process and electron–LO-phonon interaction have been included. The energy separation increases with Al-concentration and the field but decreases with the well-width. The peaks positions of the magneto-optical absorption coefficients (MOAC) present a blue-shift with Al-concentration and the magnetic field, a red-shift with the well-width, but is independent of the temperature. The MOAC peaks intensities increase monotonically with the field and temperature but are the non-monotonic functions of Al-concentration and well-width. The full-width at half-maximum (FWHM) decreases with the well-width but increases with all other parameters. The T -dependent FWHM is found to be in good agreement with previous theoretical and experimental results. Moreover, we found two rules describing the Al-concentration and the well-width dependent FWHM which require an experimental work to verify its correctness.