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Flaviu Cipcigan deleted file acknowledgements.tex
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\section{Conclusion}
This report was set up to answer the question ``why do real metals oppose the flow of current?'' We've expanded on the simple ``because electrons can't be accelerated indefinitely'' answer, to talk about the mechanism of energy dissipation. An argument by \citet{Drude1900} shows that the conductivity of a system of weakly interacting constituents is proportional to the characteristic decay time of such mechanism.
In the framework of Landau Fermi liquids, it isn't bare electrons that conduct electricity, but dressed electrons, or Landau quasiparticles. When excited above the Fermi Energy by an external field, these quasiparticles decay back to the Fermi sea with a decay time proportional to $T^{-2}$ at temperature $T$. Also, due to Umklapp scattering, scattering that sends a crystal momentum outside the first Brillouin zone, the whole Fermi sea looses momentum that is then transferred to the crystal.
Two other energy dissipation mechanisms are scattering by the impurities in the crystal lattice and by phonons. The former leads to a temperature independent resistivity, while the latter leads to a decay time scaling as $T^{-1}$ and thus a resistivity scaling as $T$.
