Flaviu Cipcigan edited scattering.tex  over 10 years ago

Commit id: e7cbbb349fb39c07c2692534d50d41a3f25e1902

deletions | additions      

       

\section{Mechanisms of scattering in crystals}  Assuming that the interactions between  electrons in the a  crystal can be  described as a by  Fermi Liquid\cite{nozieres1999}, the  theory guarantees (as one of its assumptions) \cite{nozieres1999}, we are guaranteed  weakly interacting particles in the form ofthe  Landau quasiparticles. Instead of \emph{bare} electrons acting as the charge carriers, we have \emph{dressed} electrons instead: electrons coupled to a ``cloud'' of electron--hole pairs. Furthermore, these quasiparticles have an intrinsic decay time, over which their energy is dispersed throughout the electron--hole sea. It is this intrinsic decay time that gives a Fermi Liquid its non-zero resistivity (or non-infinite conductivity).  \subsection{Quasiparticle--quasiparticle scattering} In the next subsections, we'll derive the dependence of this decay timescale on $1/T^2$, where $T$ is the temperature of the Fermi Liquid, assumed small on the scale of the Fermi temperature $T_F$.           \subsection{Intrinsic quasiparticle decay}  Gives $T^2$ resistivity.  \subsection{Quasiparticle--impurity scattering}