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PreprintarXiv licencearXiv

Local-dynamics accessibility of the stripe phase in the triangular-lattice J1-J2 Ising antiferromagnet

  • Tom Poisblaud
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Abstract

The interplay between energetic relaxation and global stripe-sector selection is investigated by analyzing the finite-rate cooling dynamics of the triangular-lattice J1−J2 Ising antiferromagnet under local single-spin Metropolis updates. A protocol-dependent stripe-accessibility time, n*(L,J2/J1), was established as an operational diagnostic to determine the threshold at which half of the trajectories achieve global stripe order. Real-space morphology diagnostics and fixed-temperature holds were subsequently employed to assess late-stage domain wall elimination and to characterize the finite-time coarsening behavior across varying system sizes and J2/J1 coupling ratios. The system quickly forms local stripe patterns before aligning them globally. Final alignment is slowed by domain-wall elimination, taking longer in larger systems but speeding up with a higher J2/J1 ratio.

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Cite

BibTeXRIS
BibTeX
@misc{poisblaud2026localdynamics,
  title = {{Local-dynamics accessibility of the stripe phase in the triangular-lattice $J_1$-$J_2$ Ising antiferromagnet}},
  author = {Tom Poisblaud},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.09411},
  eprint = {2607.09411},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.09411},
}
RIS
TY  - UNPB
TI  - Local-dynamics accessibility of the stripe phase in the triangular-lattice J_1-J_2 Ising antiferromagnet
AU  - Tom Poisblaud
PY  - 2026
DA  - 2026/09/27
PB  - arXiv
DO  - 10.48550/arxiv.2607.09411
UR  - https://arxiv.org/abs/2607.09411
AB  - The interplay between energetic relaxation and global stripe-sector selection is investigated by analyzing the finite-rate cooling dynamics of the triangular-lattice J_1−J_2 Ising antiferromagnet under local single-spin Metropolis updates. A protocol-dependent stripe-accessibility time, n^*(L,J_2/J_1), was established as an operational diagnostic to determine the threshold at which half of the trajectories achieve global stripe order. Real-space morphology diagnostics and fixed-temperature holds were subsequently employed to assess late-stage domain wall elimination and to characterize the finite-time coarsening behavior across varying system sizes and J_2/J_1 coupling ratios. The system quickly forms local stripe patterns before aligning them globally. Final alignment is slowed by domain-wall elimination, taking longer in larger systems but speeding up with a higher J_2/J_1 ratio.
ER  -