Table 1 Average inter-valley scattering rates \(\langle \frac{1}{\tau _I} \rangle\) for anisotropic impurities potentials.
Impurity potential | Model A | Model B |
|---|---|---|
\(U^{+-}_{q,q'}\) | \((+,+,+)\rightarrow (-,+,+)\) | \((+,+,+)\rightarrow (-,-,-)\) |
\(u_I \frac{(q_x-q'_x)}{k_F}\) | \(\langle \frac{1}{\tau _I} \rangle = \frac{2\pi }{\hslash } N_{\text {F}} \frac{8}{9} u_I^2\) | \(\langle \frac{1}{\tau _I} \rangle = \frac{2\pi }{\hslash } N_{\text {F}} \frac{8}{9} u_I^2\) |
\(u_I \frac{(q_{\parallel }-q'_{\parallel })}{k_F}\) | \(\langle \frac{1}{\tau _I} \rangle = \frac{2\pi }{\hslash } N_{\text {F}} \frac{4}{9} u_I^2\) | \(\langle \frac{1}{\tau _I} \rangle = \frac{2\pi }{\hslash } N_{\text {F}} \frac{8}{9} u_I^2\) |
