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The Hall Effect01:30

The Hall Effect

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Edwin H. Hall, in the year 1879, devised an experiment that could be used to identify the polarity of the predominant charge carriers in a conducting material. From a historical perspective, this experiment was the first to demonstrate that the charge carriers in most metals are negative.
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Biasing metal-semiconductor junctions involves applying a voltage across the junction. Specifically, the metal is connected to a voltage source, while the semiconductor is grounded. This technique is essential for controlling the direction and magnitude of current flow in electronic devices, including diodes, transistors, and photovoltaic cells.
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The conduction of free electrons inside a conductor is best described by quantum mechanics. However, a classical model makes predictions close to the results of quantum mechanics. It is called the theory of metallic conduction.
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Band Theory02:35

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Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials
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Anomalous Hall effect in Weyl metals.

A A Burkov1

  • 1Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada.

Physical Review Letters
|November 15, 2014
PubMed
Summary
This summary is machine-generated.

We developed a theory for the anomalous Hall effect (AHE) in Weyl metals. The AHE in these materials is a purely intrinsic property, determined by Weyl node locations, unlike ordinary ferromagnetic metals.

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Area of Science:

  • Condensed matter physics
  • Solid-state physics

Background:

  • The anomalous Hall effect (AHE) is a fundamental phenomenon in magnetic materials.
  • Understanding AHE contributions in novel electronic materials like Weyl semimetals is crucial.

Purpose of the Study:

  • To develop a comprehensive theory for the anomalous Hall effect (AHE) in doped Weyl semimetals.
  • To distinguish the AHE in Weyl metals from that in ordinary ferromagnetic metals.

Main Methods:

  • Theoretical modeling of the anomalous Hall effect.
  • Analysis of intrinsic and extrinsic (impurity scattering) contributions.
  • Fermi surface analysis near Weyl nodes.

Main Results:

  • The AHE in Weyl metals lacks extrinsic and Fermi surface intrinsic contributions when the Fermi energy is near Weyl nodes.
  • The AHE in Weyl metals is a purely intrinsic property.
  • The AHE is universally determined by the Weyl node positions in the Brillouin zone.

Conclusions:

  • Weyl metals exhibit a unique AHE distinct from ferromagnetic metals.
  • The AHE in Weyl metals offers a direct probe of their topological electronic structure.
  • This intrinsic AHE provides a universal characteristic of Weyl semimetals.