Carrier Scattering - Acoustic Phonons

Acoustic Phonons

Using Fermi's Golden Rule, the scattering rate for low energy acoustic phonons can be approximated. The interaction matrix for these phonons is

with the phonon radial frequency ω_q=cq, volume V, solid density ρ, and phonon group velocity c. Plugging this into Eq. 6 gives
.
With the assumptions that N_q>>1, ħω<



where g(E) is the electronic density of states for which the 3-dimensional solution with parabolic dispersion was used to obtain the final answer.