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Altermagnetic Ground States on the Ammann--Beenker Tiling

  • SeungBeom Hong
  • YunHo Kim
  • Moon Jip Park
  • GiBaik Sim
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Abstract

We identify exact altermagnetic ground states of a classical Heisenberg model on a quasicrystal. Considering the Ammann--Beenker tiling as an example, we determine the ground states by exploiting the parity structure of its parent four-dimensional hypercubic lattice. The ground state hosts coplanar altermagnetic order characterized by the preserved spin-group symmetry [C2x∥ C8z]. Without translational symmetry, the momentum-space spin splitting that usually identifies altermagnets is not directly accessible. We instead couple the spins to itinerant electrons and show spin-resolved transport with g-wave symmetry, confirming the altermagnetic nature in a nonperiodic system. Our results establish a geometric route to altermagnetic order in quasicrystals, connecting exact magnetic ground states to their spin-resolved transport signatures.

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Cite

BibTeXRIS
BibTeX
@misc{hong2026altermagnetic,
  title = {{Altermagnetic Ground States on the Ammann--Beenker Tiling}},
  author = {SeungBeom Hong and YunHo Kim and Moon Jip Park and GiBaik Sim},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.18441},
  eprint = {2610.18441},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.18441},
}
RIS
TY  - UNPB
TI  - Altermagnetic Ground States on the Ammann--Beenker Tiling
AU  - SeungBeom Hong
AU  - YunHo Kim
AU  - Moon Jip Park
AU  - GiBaik Sim
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.18441
UR  - https://arxiv.org/abs/2610.18441
AB  - We identify exact altermagnetic ground states of a classical Heisenberg model on a quasicrystal. Considering the Ammann--Beenker tiling as an example, we determine the ground states by exploiting the parity structure of its parent four-dimensional hypercubic lattice. The ground state hosts coplanar altermagnetic order characterized by the preserved spin-group symmetry [C_2x∥ C_8z]. Without translational symmetry, the momentum-space spin splitting that usually identifies altermagnets is not directly accessible. We instead couple the spins to itinerant electrons and show spin-resolved transport with g-wave symmetry, confirming the altermagnetic nature in a nonperiodic system. Our results establish a geometric route to altermagnetic order in quasicrystals, connecting exact magnetic ground states to their spin-resolved transport signatures.
ER  -