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Tagged with hall-effect electronic-band-theory
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All closed orbits in semiclassical model
I'm studying from "Solid State Physics" by Ashcroft-Mermin. In particular, in chapter 12 it talks about the semiclassical model and tries to reason about the Hall effect in the limiting case ...
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Is current density independent of applied fields for Bloch electrons?
Following Ashcroft-Mermin chapter 12 the semiclassical dynamics is governed by
$
\dot{\vec{r}} = \vec{v}_n(\vec{k}) = \frac{1}{\hbar}\frac{\partial \epsilon_n(\vec{k})}{\partial \vec{k}}
$
and
$
\hbar ...