Abstract
Using a model cubic anharmonic crystal potential and Fermi's golden rule, an expression for the anharmonic relaxation time for a nonequilibrium long-wavelength LO phonon is rigorously derived. Decay times for various bulk, alloy, and quantum-well semiconductor systems are calculated. Comparison with time-resolved Raman measurements indicates that a relatively high value of the Gr\"uneisen constant (1.8 for GaAs) gives the best agreement between experiment and theory.
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