Second harmonic generation in asymmetric double semi-parabolic quantum wells: Effects of electric and magnetic fields, hydrostatic pressure and temperature

The second harmonic generation (SHG) of a typical GaAs/Ga1−xAlxAs asymmetric double semi-parabolic quantum wells (DSPQWs) is investigated numerically. The SHG is obtained using the compact density matrix approach. In this work, the effects of the structure parameters, the applied electric and magnetic fields, the hydrostatic pressure and temperature on the SHG coefficient of the asymmetric DSPQWs are studied. Our calculations show that the resonant peaks of the SHG experience an obviously blue-shift and decrease in the magnitude with increasing barrier height. The major-resonant peak value of the SHG is a non-monotonic function of the barrier width and decreases with increase in the right-well width. The results show that the applied electric and magnetic fields affect the magnitude and position of the resonant peaks. Moreover, the resonant peaks of the SHG experience a red-shift (blue-shift) and decrease (increase) in magnitude monotonically with increasing pressure (temperature).