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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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Paramagnets are materials with unpaired electrons that possess a finite magnetic moment. In the absence of a magnetic field, these moments are randomly oriented, and thus the net moment is zero. Under an external field, a torque acting on the moments tends to align them along the field's direction. However, the random thermal motion of electrons produces a torque opposite to the external field and tries to disorient the moments. These two competing effects align only a few moments along the...
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Altermagnetic Anomalous Hall Effect Emerging from Electronic Correlations.

Toshihiro Sato1,2, Sonia Haddad1,3,4, Ion Cosma Fulga1,2

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This summary is machine-generated.

Altermagnetic materials, despite lacking net magnetism, can exhibit an anomalous Hall effect due to interactions. This study demonstrates how correlations induce this effect in altermagnets, opening new research avenues.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • Altermagnetic materials possess vanishing net magnetic moments but exhibit symmetries allowing for an anomalous Hall effect.
  • Understanding the mechanisms driving the anomalous Hall effect in altermagnets is crucial for novel electronic applications.

Purpose of the Study:

  • To introduce a theoretical model for altermagnetism where interactions drive the anomalous Hall effect.
  • To investigate the emergence of anomalous Hall conductivity in altermagnetic systems.

Main Methods:

  • A modified Kane-Mele framework incorporating antiferromagnetic spin-spin correlations was employed.
  • Quantum Monte Carlo simulations were utilized to analyze phase transitions and system properties.
  • A mean-field ansatz was used to corroborate simulation results.

Main Results:

  • A finite temperature phase transition was observed, characterized by primary antiferromagnetic and secondary Haldane-type order parameters.
  • The metallic state transitioned to an altermagnet with finite anomalous Hall conductivity away from half-filling.
  • The study confirmed correlation-induced altermagnetism with finite Berry curvature.

Conclusions:

  • Interactions play a key role in inducing the anomalous Hall effect in altermagnetic materials.
  • The developed model and findings pave the way for studying correlation-induced altermagnets.
  • This research highlights potential for designing materials with tunable anomalous Hall conductivity.