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PreprintCC BY 4.0arXiv

Observation of g-wave altermagnetic multipole

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Abstract

Over the past few years, altermagnets have emerged as a new class of collinear magnets with broken time-reversal symmetry, offering novel opportunities for spintronics beyond conventional magnets. Rather than from net magnetization, as in ferromagnets, the unconventional time-reversal symmetry breaking of altermagnets originates from antiferroic magnetic dipoles locked to higher-order multipoles. Here we report the direct visualization of a g-wave altermagnetic multipole in the canonical altermagnet CrSb. Combining high-energy synchrotron X-ray diffraction with valence electron density (VED) analysis, we uncover a pronounced directional anisotropy of the VED distribution alternating between Cr sublattices. This evidences the antiferroic order of electric hexadecapoles predicted in g-wave altermagnets. Its coexistence with antiferroic magnetic dipoles induces ferroic magnetic multipoles, as probed by polarized neutron diffraction. We further identify a microscopic model of altermagnetism that directly relates the g-wave multipole and the g-wave spin splitting. Through direct observation and quantification of multipoles, this study provides a real-space fingerprint of altermagnetism and establishes a general probe of hidden multipole order in quantum materials.

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BibTeX
@misc{misawa2026observation,
  title = {{Observation of g-wave altermagnetic multipole}},
  author = {Ryo Misawa and Rikuto Oiwa and Shunsuke Kitou and Tatsuya Miki and Motohiko Ezawa and Weiyi Yun and Rinsuke Yamada and Chihaya Koyama and J. Alberto Rodríguez Velamazán and Kamil K. Kolincio and Navid Qureshi and Elina Zhakina and Yuiga Nakamura and Jan Masell and Ilya Belopolski and Taka-hisa Arima and Yusuke Nomura and Satoru Hayami and Max Hirschberger},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.01969},
  eprint = {2609.01969},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.01969},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Observation of g-wave altermagnetic multipole
AU  - Ryo Misawa
AU  - Rikuto Oiwa
AU  - Shunsuke Kitou
AU  - Tatsuya Miki
AU  - Motohiko Ezawa
AU  - Weiyi Yun
AU  - Rinsuke Yamada
AU  - Chihaya Koyama
AU  - J. Alberto Rodríguez Velamazán
AU  - Kamil K. Kolincio
AU  - Navid Qureshi
AU  - Elina Zhakina
AU  - Yuiga Nakamura
AU  - Jan Masell
AU  - Ilya Belopolski
AU  - Taka-hisa Arima
AU  - Yusuke Nomura
AU  - Satoru Hayami
AU  - Max Hirschberger
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.01969
UR  - https://arxiv.org/abs/2609.01969
AB  - Over the past few years, altermagnets have emerged as a new class of collinear magnets with broken time-reversal symmetry, offering novel opportunities for spintronics beyond conventional magnets. Rather than from net magnetization, as in ferromagnets, the unconventional time-reversal symmetry breaking of altermagnets originates from antiferroic magnetic dipoles locked to higher-order multipoles. Here we report the direct visualization of a g-wave altermagnetic multipole in the canonical altermagnet CrSb. Combining high-energy synchrotron X-ray diffraction with valence electron density (VED) analysis, we uncover a pronounced directional anisotropy of the VED distribution alternating between Cr sublattices. This evidences the antiferroic order of electric hexadecapoles predicted in g-wave altermagnets. Its coexistence with antiferroic magnetic dipoles induces ferroic magnetic multipoles, as probed by polarized neutron diffraction. We further identify a microscopic model of altermagnetism that directly relates the g-wave multipole and the g-wave spin splitting. Through direct observation and quantification of multipoles, this study provides a real-space fingerprint of altermagnetism and establishes a general probe of hidden multipole order in quantum materials.
ER  -