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Flaviu Cipcigan edited scattering.tex
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\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 of
the 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}