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PreprintarXiv licencearXiv

Mirror-symmetry engineering of altermagnetism based on monolayer hexagonal lattices

Abstract

Altermagnetism (AM) is a novel collinear antiferromagnetic phase characterized by spin-polarized bands and zero net magnetization. However, realizing AM in monolayer hexagonal lattices is strongly constrained by lattice symmetry. Here, we propose a mirror-symmetry-based design principle and implementation scheme for realizing AM based on monolayer hexagonal lattices and validate it using holey graphyne (HGY) as a representative system. By examining hydrogenated nonmetal units X−H (X = B, C, N, P, and S) introduced along the mirror-symmetry axis and extending the analysis to N−F, we identify the configurations that form two antiparallel spin sublattices related by mirror reflection. The N−H structure forms a stable altermagnetic ground state, with a momentum-dependent spin splitting up to 148.2 meV. The magnetism originates from π−π superexchange interactions, and H/F functionalization stabilizes intrinsic AM by regulating the local charge distribution. Our work offers insights into the design of light-element altermagnetic materials.

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BibTeX
@misc{li2026mirrorsymmetry,
  title = {{Mirror-symmetry engineering of altermagnetism based on monolayer hexagonal lattices}},
  author = {Han-Bing Li and Zhi-Gang Shao},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.41589},
  eprint = {2610.41589},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.41589},
}
RIS
TY  - UNPB
TI  - Mirror-symmetry engineering of altermagnetism based on monolayer hexagonal lattices
AU  - Han-Bing Li
AU  - Zhi-Gang Shao
PY  - 2026
DA  - 2026/10/30
PB  - arXiv
DO  - 10.48550/arxiv.2610.41589
UR  - https://arxiv.org/abs/2610.41589
AB  - Altermagnetism (AM) is a novel collinear antiferromagnetic phase characterized by spin-polarized bands and zero net magnetization. However, realizing AM in monolayer hexagonal lattices is strongly constrained by lattice symmetry. Here, we propose a mirror-symmetry-based design principle and implementation scheme for realizing AM based on monolayer hexagonal lattices and validate it using holey graphyne (HGY) as a representative system. By examining hydrogenated nonmetal units X−H (X = B, C, N, P, and S) introduced along the mirror-symmetry axis and extending the analysis to N−F, we identify the configurations that form two antiparallel spin sublattices related by mirror reflection. The N−H structure forms a stable altermagnetic ground state, with a momentum-dependent spin splitting up to 148.2 meV. The magnetism originates from π−π superexchange interactions, and H/F functionalization stabilizes intrinsic AM by regulating the local charge distribution. Our work offers insights into the design of light-element altermagnetic materials.
ER  -