The Hall effect is a voltage arising from an electric field perpendicular to a magnetic field in a material. It is to be distinguished from the quantum hall effect (QHE).
Questions tagged [hall-effect]
62 questions
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Deriving classical Hall effect from quantum Hall effect
I'm interested in the derivation of the classical Hall effect coefficient, given in cgs by $$R_{H}=-\frac{1}{nec},$$ where $n$ is the electron number density, $-e<0$ is the electron charge,and $c$ is the usual, ubiquitous velocity in Physics, from…
KernelPanic
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Does the Hall effect increase the resistance of a wire?
If a current in a wire is flowing perpendicular to a magnetic field, the Hall effect is observed. This effect is caused by the forces from magnetic fields pushing the electrons to one side of the wire. So, does it increase the resistance of the…
Zhao
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How can we explain that beryllium has positive charge carriers as a metal (from Feynman Lectures)?
This question naturally arises from reading Feynman Lectures Vol III 14-3 The Hall effect, online available here, where Feynman states the following:
The original discovery of the anomalous sign of the potential difference in the Hall effect was…
fruchti
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Hall effect for a magnet falling through a copper pipe?
A falling magnet in a copper pipe exerts a Lorentz force on the electrons that participate in the eddy currents a and b. I mean the vertical magnetic force $F = Bqv$, denoted by the blue arrows in the diagram below. The vertical magnetic forces on…
jkien
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Why are the plateaus in the Quantum Hall horizontal rather than diagonal
I was wondering why the plateaus of $\rho_{xy}$ in the integer quantum Hall effect are horizontal and do not scale linearly with the magnetic field $B$ since the Lorentz force should still be acting on the electrons.
I understand that by increasing…
xabdax
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Can the Hall effect drive a current?
In the Hall Effect current is passed through a wide strip of metal in a perpendicular magnetic field. Since (some of) the negative charges in the metal move but the positive ones stay put, the magnetic field will cause a potential difference between…
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Skyrmion's Hall Effect
I found an interesting phenomenon: as this Physical Review B on arXiv said,
The Sk moves faster in $+\hat x$ direction and then saturates when the amplitude
exceeds $V = 0.8$. The motion along the $\hat y$ direction is always
slower than that in…
myhsia
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Shubnikov-de-Haas effect and Quantum Hall effect
I am wondering if these two phenomena are two names for the same thing or whether these are distinct effects and there are situation where one appears, but the other one doesn't?
Both seem to produce magnetoresistance features at a certain period in…
tobalt
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Longitudinal conductivity from density of states (DOS)
It is well-known that using the so-called Streda formula, the transversal conductivity $\sigma_{xy}$ and thus the Hall conductivity in a two-dimensional material is given as the derivative of the integrated density of states up to fermi energy with…
Sascha
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Hall effect source impedance
Background
I am an electrical engineer. My friend is a technician in a physics lab and he is using an electromagnetic flow meter (i.e. magmeter) which relies on the Hall effect to measure the flow rate of a conductive fluid. He has been asking me…
DavidG25
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How to separate electron and hole mobilities in a intrinsic semiconductor?
I read in textbooks that the electric conductivity of a semiconductor is $\sigma=q(n\mu_n+p\mu_p)$, where $q$ is an electron's charge, $n$ and $p$ are the concentrations of electrons and holes, $\mu_n$ and $\mu_p$ are their mobilities. In an…
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Quantum Hall effect diverges at $B=0$
In the integer quantum Hall effect, with the applied magnetic field reduced, more and more LLs get filled and one can observe higher and higher plateaus in the Hall conductivity $\sigma_H(B)$. Superficially, $\sigma_H(B\rightarrow0)$ will simply…
xiaohuamao
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Variation of Current In The Hall Effect Experiment
As a 12th Grader, our class came across a very simple setup of the Hall Effect Experiment during our course on Electromagnetism. The entire idea and eventual steady state conditions all make perfect sense, but the only thing that bothers me is the…
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Impact of thickness of metal on hall effect
I was reading the paper on the Hall Effect and found that the initial experiment was performed on a metal strip. The experiment on the metal failed to provide any useful results, and then it was stated that
Owing probably to the fact that the metal…
Sumit Gupta
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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 of high magnetic field.
The first case the book considers…
Rhino
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