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Anomalous Hall effect from frustration-tuned scalar chirality distribution in Pr2Ir2O7.

M Udagawa1, R Moessner

  • 1Department of Applied Physics, University of Tokyo, Tokyo 113-8656, Japan.

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|August 6, 2013
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Summary

This study explores the anomalous Hall effect in pyrochlore structures, linking magnetic field-tuned transitions to specific magnetic states like spin ice and kagome ice. The findings offer insights into complex magnetic phenomena and their conductivity signatures.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Magnetism

Background:

  • Noncoplanar magnetism in pyrochlore structures leads to complex magnetic states.
  • Frustration in these materials induces spatial inhomogeneity at low temperatures.
  • The anomalous Hall effect is sensitive to magnetic ordering and correlations.

Purpose of the Study:

  • To investigate the anomalous Hall effect in pyrochlore materials under varying magnetic fields.
  • To understand the relationship between magnetic field-induced transitions and conductivity.
  • To model the influence of nonmagnetic scattering on magnetic correlations.

Main Methods:

  • Theoretical modeling of the anomalous Hall effect.
  • Incorporation of nonmagnetic scattering effects.
  • Analysis of Hall conductivity as a function of magnetic field strength and direction.

Main Results:

  • Obtained Hall conductivity (σ(H)) that matches experimental data for Pr(2)Ir(2)O(7).
  • Identified a peak in σ(H) for a [111] magnetic field.
  • Demonstrated this peak signifies a transition from zero-field spin ice to kagome ice.

Conclusions:

  • The anomalous Hall effect can effectively probe magnetic phase transitions in pyrochlores.
  • Noncoplanar magnetism and frustration play crucial roles in the observed conductivity.
  • The study provides a framework for understanding experimental observations in materials like Pr(2)Ir(2)O(7).