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PreprintCC BY 4.0arXiv

Symmetry-enforced third-order nonlinear thermal Hall effects in altermagnets

  • Yun-Mei Li
  • Jiacheng Yao
  • Hua Wang
  • Kai Chang
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Abstract

Thermal Hall effect (THE) is a powerful probe of material properties, even in insulators. Here we investigate the thermal response of altermagnets by developing a theory on Berry curvature driven nonlinear THE from both electrons and magnons. We identify symmetry conditions under which the third-order THE dominates while linear and second-order contributions vanish. Notably, d-wave and i-wave altermagnets with out-of-plane Neel order satisfy these conditions, whereas in-plane order yields a dominant linear THE. Using KV2Se2O (a d-wave altermagnetic metal) and MnF2 (an altermagnetic insulator) as concrete examples, we show nonzero third-order nonlinear THE from electrons and magnons, respectively, both exhibiting a pi-periodic dependence on the direction of temperature gradient. These symmetry-guaranteed Berry curvature phenomena provide a diagnostic for altermagnetism in candidate materials and enable determination of the Neel vector orientation.

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Cite

BibTeXRIS
BibTeX
@misc{li2026symmetryenforced,
  title = {{Symmetry-enforced third-order nonlinear thermal Hall effects in altermagnets}},
  author = {Yun-Mei Li and Jiacheng Yao and Hua Wang and Kai Chang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.02008},
  eprint = {2609.02008},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.02008},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Symmetry-enforced third-order nonlinear thermal Hall effects in altermagnets
AU  - Yun-Mei Li
AU  - Jiacheng Yao
AU  - Hua Wang
AU  - Kai Chang
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.02008
UR  - https://arxiv.org/abs/2609.02008
AB  - Thermal Hall effect (THE) is a powerful probe of material properties, even in insulators. Here we investigate the thermal response of altermagnets by developing a theory on Berry curvature driven nonlinear THE from both electrons and magnons. We identify symmetry conditions under which the third-order THE dominates while linear and second-order contributions vanish. Notably, d-wave and i-wave altermagnets with out-of-plane Neel order satisfy these conditions, whereas in-plane order yields a dominant linear THE. Using KV2Se2O (a d-wave altermagnetic metal) and MnF2 (an altermagnetic insulator) as concrete examples, we show nonzero third-order nonlinear THE from electrons and magnons, respectively, both exhibiting a pi-periodic dependence on the direction of temperature gradient. These symmetry-guaranteed Berry curvature phenomena provide a diagnostic for altermagnetism in candidate materials and enable determination of the Neel vector orientation.
ER  -