3.5.3 Plasmon Scattering

In the case of plasmon scattering the strain effects enter through the screening length $\beta_{s}$ which determines the cut-off wave vector (2.134). Additionally the plasmon frequency in the strained case is given as:

$$\omega_{pl}=e\sqrt{\frac{1}{\varepsilon}\sum_{ij}\frac{n_{ij}}{(m_{d}^{*})_{i}}},$$ (3.71)

where $n_{ij}$ is the contribution to the electron density from valley $i$ with orientation $j$:

$$n_{ij}=N_{c_{i}}^{(or)}\biggl[\mathcal{F}_{1/2}(\eta_{ij})+\frac{... ...\frac{105}{32}\alpha^{2} k_{B}^{2}T_{0}^{2}\mathcal{F}_{5/2}(\eta_{ij})\biggr].$$ (3.72)

It should be noted that this result as well as the expression (2.133) for the unstrained material is only valid within the Random Phase Approximation (see Appendix B).

S. Smirnov: