Intrinsic excitations and a proposed ground state in an Ammann-Beenker artificial spin ice

Abstract

Artificial spin ices built on quasiperiodic geometries remain under-explored. Here we investigate an ASI based on the octagonal Ammann-Beenker tiling, whose six vertex types present local environments inaccessible in periodic lattices. Combining Monte Carlo simulations of dipolar-coupled macrospins with micromagnetic calculations of individual vertex energies, we find that vertex types freeze in an order set not by coordination number, but by quasi-degenerate levels at five-island vertices and their local environment. Excitations in the low energy state are correspondingly localised to specific, geometrically determined sites. Using twice-inflated substitution rules as an energetic backbone, we propose an analytical ground state combining a long-range ordered fixed spin network with a sparse set of degenerate regions.

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BibTeX RIS

BibTeX

@misc{weightman2026intrinsic,
  title = {{Intrinsic excitations and a proposed ground state in an Ammann-Beenker artificial spin ice}},
  author = {E Weightman and L O'Brien and S Coates},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.12930},
  eprint = {2609.12930},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.12930},
  note = {CC BY 4.0},
}

RIS

TY  - UNPB
TI  - Intrinsic excitations and a proposed ground state in an Ammann-Beenker artificial spin ice
AU  - E Weightman
AU  - L O'Brien
AU  - S Coates
PY  - 2026
DA  - 2026/09/11
PB  - arXiv
DO  - 10.48550/arxiv.2609.12930
UR  - https://arxiv.org/abs/2609.12930
AB  - Artificial spin ices built on quasiperiodic geometries remain under-explored. Here we investigate an ASI based on the octagonal Ammann-Beenker tiling, whose six vertex types present local environments inaccessible in periodic lattices. Combining Monte Carlo simulations of dipolar-coupled macrospins with micromagnetic calculations of individual vertex energies, we find that vertex types freeze in an order set not by coordination number, but by quasi-degenerate levels at five-island vertices and their local environment. Excitations in the low energy state are correspondingly localised to specific, geometrically determined sites. Using twice-inflated substitution rules as an energetic backbone, we propose an analytical ground state combining a long-range ordered fixed spin network with a sparse set of degenerate regions.
ER  -

Abstract

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