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Spin Transport Revealed by Spin Quantum Geometry.

Longjun Xiang1, Hao Jin1, Jian Wang1,2,3

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Summary
This summary is machine-generated.

We introduce spin quantum geometry to understand electron spin transport. This framework unifies known spin currents and magnetization effects, and predicts new nonlinear spin responses in spintronics.

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Area of Science:

  • Condensed Matter Physics
  • Spintronics
  • Quantum Geometry

Background:

  • Spin degree of freedom of Bloch electrons is crucial for understanding electronic properties.
  • Existing frameworks struggle to unify various spin transport phenomena.
  • Recent advancements introduced the Zeeman quantum geometric tensor (QGT).

Purpose of the Study:

  • To present a unified framework of spin quantum geometry for elucidating spin transport.
  • To incorporate both spin and Zeeman QGTs for a comprehensive analysis.
  • To predict novel nonlinear spin responses.

Main Methods:

  • Developing the framework of spin quantum geometry.
  • Utilizing spin and Zeeman QGTs to analyze spin currents and magnetization.
  • Predicting new spin Hall effects and nonlinear spin responses.
  • Evaluating proposed responses using Dirac models of topological insulators.

Main Results:

  • The spin and Zeeman QGTs provide a unified framework for intrinsic spin Hall effect and Edelstein effect.
  • Prediction of the linear displacement spin Hall effect induced by ac electric fields in insulators.
  • Proposal of nonlinear Drude spin current (NDSC) and nonlinear Drude spin magnetization (NDSM) with quadratic relaxation time dependence.
  • Demonstration that NDSC and NDSM can surpass nonlinear intrinsic counterparts in topological insulators.

Conclusions:

  • Spin quantum geometry offers a powerful tool for understanding complex spin transport phenomena.
  • The framework successfully explains known effects and predicts new ones, including nonlinear responses.
  • The proposed nonlinear spin responses have significant implications for future spintronics applications.