Deriving classical Hall effect from quantum Hall effect - Physics Stack Exchange most recent 30 from physics.stackexchange.com 2019-09-18T09:30:29Z https://physics.stackexchange.com/feeds/question/477190 https://creativecommons.org/licenses/by-sa/4.0/rdf https://physics.stackexchange.com/q/477190 5 Deriving classical Hall effect from quantum Hall effect KernelPanic https://physics.stackexchange.com/users/224473 2019-05-01T16:37:20Z 2019-07-15T14:08:40Z <p>I'm interested in the derivation of the classical Hall effect coefficient, given in cgs by <span class="math-container">$$R_{H}=-\frac{1}{nec},$$</span> where <span class="math-container">$n$</span> is the electron number density, <span class="math-container">$-e&lt;0$</span> is the electron charge,and <span class="math-container">$c$</span> is the usual, ubiquitous velocity in Physics, <strong>from</strong> the fact that QHE provides the quantum of electrical conductance <span class="math-container">$$g=\frac{2e^{2}}{h},$$</span> where <span class="math-container">$h$</span> is Planck's constant, and the 2 comes from spin degeneracy. </p> <p>Is there a convenient way to go <strong>from</strong> the quantum <strong>to</strong> the classical case for this problem?</p> https://physics.stackexchange.com/questions/477190/-/491751#491751 0 Answer by Nirmal Sebastian for Deriving classical Hall effect from quantum Hall effect Nirmal Sebastian https://physics.stackexchange.com/users/223046 2019-07-15T14:08:40Z 2019-07-15T14:08:40Z <p>I think you cannot derive classical case from the quantum case. g=filling factor *2e_squared/h occurs at very high magnetic fields where Landau levels start filling and current is carried only by edge states. In classical regime, magnetic fields are low and Landau levels haven't started filling and there is no edge states </p>