Abstract
Using the velocity operator derived from the Heisenberg equation of motion, we have investigated second-harmonic generation of acoustic waves propagating in nondegenerate piezoelectric semiconductors with a uniform dc magnetic field B directed along the waves. Since we are interested in both high-and low-frequency regions, an electron relaxation time due to the scatterings in solids is taken into account. Results show that the second-harmonic generation due to the piezoelectric polarization is insignificant in the very low-frequency region. However, when the frequency is coming into the microwave region, the second-harmonic generation increases quite rapidly with the sound frequency up to some maximum points at the range of frequency ω=1011–2×1011 rad/s, and then decreases. There are two maximum points in this range of frequency at very low temperatures. When the temperature increases, these two maximum points will be reduced to only a single maximum point. It is also found that the second-harmonic generation can be influenced by the dc magnetic field due to the nonlinear nature of energy bands in piezoelectric semiconductors.
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