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Symmetry classification of magnetic orders using oriented spin space groups.

Yuntian Liu1, Xiaobing Chen1,2, Yutong Yu1

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Summary
This summary is machine-generated.

This study classifies magnetic orders, including ferromagnetism (FM) and antiferromagnetism (AFM), using spin space group (SSG) theory. A new framework reveals spin-orbit magnetism (SOM) and offers insights for spintronics and quantum materials.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science

Background:

  • Magnetism research is advancing, driven by storage technology and new materials.
  • Classifying magnetic orders like ferromagnetism (FM) and antiferromagnetism (AFM) is evolving.
  • Unconventional magnets and antiferromagnetic spintronics require refined classification methods.

Purpose of the Study:

  • To present a comprehensive, symmetry-based classification of magnetic orders.
  • To introduce a unified framework for describing magnetic symmetry and orientation.
  • To identify novel magnetic phases and their underlying physics.

Main Methods:

  • Utilizing state-of-the-art spin space group (SSG) theory for magnetic order classification.
  • Developing an 'oriented spin space group' (OSSG) description to unify existing frameworks.
  • Analyzing symmetry-breaking pathways induced by spin-orbit coupling (SOC).

Main Results:

  • Systematically categorized magnetic orders into FM (including ferrimagnetism) and AFM based on SSG constraints.
  • Unified SSG and magnetic space group (MSG) frameworks with the OSSG description.
  • Identified a new magnetic phase, spin-orbit magnetism (SOM), driven by SOC.

Conclusions:

  • The proposed group framework provides a robust method for classifying magnetic orders.
  • This work offers fresh insights into unconventional magnets and their properties.
  • The findings have broad applicability in spintronics and quantum materials design.