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Anomalous Hall effect in disordered multiband metals.

Alexey A Kovalev1, Jairo Sinova, Yaroslav Tserkovnyak

  • 1Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA.

Physical Review Letters
|September 28, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces a microscopic theory for the anomalous Hall effect (AHE) in metallic ferromagnets. It links AHE to electronic band structure, offering a new way to study this phenomenon in various magnetic materials.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Solid-State Physics

Background:

  • The anomalous Hall effect (AHE) is a key phenomenon in magnetic materials, crucial for spintronic applications.
  • Existing theories often struggle to fully capture all scattering-independent contributions in multiband systems.
  • Understanding the interplay of electronic band structure and scattering is vital for predicting AHE behavior.

Purpose of the Study:

  • To develop a comprehensive microscopic theory for the anomalous Hall effect (AHE) in metallic multiband ferromagnets.
  • To systematically include all scattering-independent contributions, such as intrinsic effects and side jump.
  • To provide a framework directly applicable to ab initio calculations for diverse ferromagnetic metals.

Main Methods:

  • Formulation of a microscopic theory for AHE.
  • Inclusion of intrinsic contributions and side jump mechanisms.
  • Analysis of interband-scattering coherence effects.
  • Application to 2D Rashba and 3D ferromagnetic (III,Mn)V semiconductor models.

Main Results:

  • The AHE is expressed solely in terms of the electronic band structure for a Gaussian disorder model.
  • The theory systematically incorporates interband-scattering coherence effects.
  • Demonstrated applicability to specific 2D and 3D ferromagnetic semiconductor models.

Conclusions:

  • The presented microscopic theory offers a unified approach to AHE in metallic ferromagnets.
  • The formalism facilitates direct ab initio treatments for a broad range of materials.
  • This work advances the fundamental understanding and predictive capability of AHE in magnetic systems.