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Related Experiment Video

Updated: Jun 8, 2026

Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials

Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials

Published on: January 21, 2016

Quantum renormalization of the spin Hall effect.

Bo Gu¹, Jing-Yu Gan, Nejat Bulut

¹Advanced Science Research Center, Japan Atomic Energy Agency, Tokai 319-1195, Japan.

Physical Review Letters

|September 28, 2010

Summary

Spin-orbit interaction (SOI) in iron (Fe) impurities within gold (Au) is significantly altered by quantum spin fluctuations and electron correlations. This finding explains experimental observations of the spin Hall effect but not the anomalous Hall effect.

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Area of Science:

Condensed Matter Physics
Quantum Many-Body Theory
Materials Science

Background:

The spin Hall effect (SHE) and anomalous Hall effect (AHE) are crucial phenomena in spintronics.
Understanding the microscopic origins of these effects, particularly in systems with magnetic impurities, is essential for device applications.
Previous studies have not fully reconciled experimental observations of SHE and AHE in gold (Au) with iron (Fe) impurities.

Purpose of the Study:

To investigate the microscopic mechanisms governing spin-orbit interaction (SOI) in an Fe impurity embedded in an Au host.
To elucidate the role of quantum spin fluctuations and Coulomb correlations in renormalizing SOI.
To explain the contrasting experimental observations of the gigantic spin Hall effect and the absent anomalous Hall effect in Au:Fe.

Main Methods:

Utilizing quantum Monte Carlo (QMC) simulations.
Employing a realistic multiorbital Anderson impurity model.
Analyzing the renormalization effects of quantum spin fluctuation and Coulomb correlation (U) on SOI.

Main Results:

Demonstrated that spin-orbit interaction (SOI) is strongly renormalized by quantum spin fluctuation.
Showed that SOI is also significantly renormalized by Coulomb correlation (U).
Established a theoretical basis for the experimentally observed gigantic spin Hall effect in Au with Fe impurities, while explaining the absence of the anomalous Hall effect.

Conclusions:

Quantum spin fluctuations and Coulomb correlations are key mechanisms renormalizing spin-orbit interaction in Fe impurities within Au.
This renormalization provides a unified explanation for the distinct experimental behaviors of the spin Hall effect and anomalous Hall effect.
The study resolves past discrepancies in calculated orbital angular momenta for Fe impurities in Au host metals.