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Temperature Dependence of the Anomalous Hall Effect from Electron Interactions
1Department of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA.
Electron-electron interactions significantly alter the anomalous Hall effect in disordered conductors. This study reveals unique low-temperature dependencies, sqrt[T]/ln(T0/T) in 3D and ln[ln(T0/T)] in 2D, impacting materials like HgCr2Se4.
Area of Science:
- Condensed Matter Physics
- Solid State Physics
- Quantum Mechanics
Background:
- The anomalous Hall effect (AHE) is crucial in understanding transport properties of magnetic materials.
- Electron-electron interactions are often neglected in AHE studies of disordered conductors.
- Existing models do not fully explain unconventional temperature dependencies observed in some materials.
Purpose of the Study:
- To investigate the influence of electron-electron interactions on the temperature dependence of the AHE.
- To analyze the role of spin-orbit coupling and scattering mechanisms in disordered conductors.
- To provide a theoretical explanation for observed unconventional AHE behaviors.
Main Methods:
- Microscopic analysis using the diagrammatic approach.
- Application of the linear response Kubo-Streda formula.
- Inclusion of extrinsic skew-scattering and side-jump mechanisms.
Main Results:
- Electron interactions in the Cooper channel significantly affect AHE temperature dependence, even in non-superconducting materials.
- Derived low-temperature AHE conductivity dependencies: sqrt[T]/ln(T0/T) in 3D and ln[ln(T0/T)] in 2D.
- The scale T0 is related to the Fermi energy.
Conclusions:
- Electron-electron interactions are essential for accurately describing the AHE in disordered conductors.
- The derived theoretical dependencies offer a potential explanation for unconventional AHE observations in materials like HgCr2Se4.
- This work highlights the importance of considering many-body effects in condensed matter phenomena.
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