deletions | additions       diff --git a/magnetoresistance.tex b/magnetoresistance.tex  index e476356..1fa7df9 100644  --- a/magnetoresistance.tex  +++ b/magnetoresistance.tex 
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\end{equation}  This effect is just the classical Hall effect: the conductance in the $x$ direction remains unchanged, with the magnetic field creating an electric field in the $y$ direction due to redistribution of charge. However, this derivation hinges on a crucial assumption: \emph{all} charge carriers have the same decay time. We've seen that not to be true in the case of the Landau quasiparticles -- their decay time depends on how far away their energy is to the Fermi energy.  Therefore, in a Fermi Liquid, there will be a population of decay timescales $\tau_k$ and conductivities $\sigma_k$. Without a magnetic field, these populations will just average out to result in an average timescale $\oberbar{\tau}$