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PreprintCC BY 4.0arXiv

Unconventional Mixed-Parity Magnetism in Rare-Earth Tetraborides

Abstract

Altermagnetism has advanced the study of compensated magnets by revealing non-relativistic spin splitting, traditionally classified into strictly even- or odd-parity spin textures. Here, we establish component-resolved mixed-parity spin splitting in a fully three-dimensional compensated magnet and identify its microscopic origin. Using first-principles calculations, tight-binding and k · p models, along with spin-group symmetry analysis, we demonstrate that the non-coplanar ground state of TbB4 enforces odd-parity p- and f-wave-like textures for the in-plane spin components while the out-of-plane component retains an even-parity d-wave altermagnetic character. Crucially, the p-wave texture is driven not by relativistic spin-orbit coupling but by a staggered emergent flux arising from the scalar spin chirality of the non-coplanar order. This mixed-parity structure dictates distinct transport fingerprints, including bulk non-relativistic Edelstein and spin Hall responses that respond characteristically to reversal of the chirality domains. Spin-orbit coupling additionally enables a Berry curvature dipole. These results establish the rare-earth tetraborides as a robust platform for engineering complex spin-charge conversion phenomena.

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BibTeX
@misc{ryu2026unconventional,
  title = {{Unconventional Mixed-Parity Magnetism in Rare-Earth Tetraborides}},
  author = {Dong-Choon Ryu and Jae-Ho Han and Bongjae Kim and Chang-Jong Kang},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2607.02117},
  eprint = {2607.02117},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.02117},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Unconventional Mixed-Parity Magnetism in Rare-Earth Tetraborides
AU  - Dong-Choon Ryu
AU  - Jae-Ho Han
AU  - Bongjae Kim
AU  - Chang-Jong Kang
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2607.02117
UR  - https://arxiv.org/abs/2607.02117
AB  - Altermagnetism has advanced the study of compensated magnets by revealing non-relativistic spin splitting, traditionally classified into strictly even- or odd-parity spin textures. Here, we establish component-resolved mixed-parity spin splitting in a fully three-dimensional compensated magnet and identify its microscopic origin. Using first-principles calculations, tight-binding and k · p models, along with spin-group symmetry analysis, we demonstrate that the non-coplanar ground state of TbB_4 enforces odd-parity p- and f-wave-like textures for the in-plane spin components while the out-of-plane component retains an even-parity d-wave altermagnetic character. Crucially, the p-wave texture is driven not by relativistic spin-orbit coupling but by a staggered emergent flux arising from the scalar spin chirality of the non-coplanar order. This mixed-parity structure dictates distinct transport fingerprints, including bulk non-relativistic Edelstein and spin Hall responses that respond characteristically to reversal of the chirality domains. Spin-orbit coupling additionally enables a Berry curvature dipole. These results establish the rare-earth tetraborides as a robust platform for engineering complex spin-charge conversion phenomena.
ER  -