Classical spin liquids in the kagome Ising model, and their link with magnetoelasticity
Abstract
We investigate a nearest-neighbor Ising model on the kagome lattice coupled to elastic lattice distortions. By integrating out the lattice degrees of freedom, we derive an approximate spin-only description in terms of a kagome J1-J2-J3 Ising model with interactions extending to third nearest-neighbors. Using tensor network methods complemented by classical Monte Carlo simulations, we revisit its zero-temperature phase diagram and characterize the ground states studied more than thirty years ago. We discover three phases with extensive zero-temperature entropy and algebraically decaying spin correlations. Importantly, these states are not confined to fine-tuned points or frontiers between phases, but occupy extended areas of parameter space. Their quasi long-range order is reflected in Bragg-like peaks in the structure factors; we relate this, and other properties, to diverse phases found in Ising and Heisenberg models. Finally, we trace the trajectories generated by the magnetoelastic coupling through the effective-model phase diagram, explaining the emergence of self-frustration for the unfrustrated magnetoelastic model with ferromagnetic interactions.
Related
- Melting noncoplanar order on the square-kagome lattice: Chiral, flat-band, and staggered spin liquids from projective symmetry
- Bulk-Defect Correspondence in Algebraic Classical Spin Liquids
- Topological Devil's staircase in a constrained kagome Ising antiferromagnet
- Anisotropic ising model on 2D Kagomé lattice as an inhomogeneous XYZ integrable model
- Anizotropic Ising Model on 2D Kagomé Lattice as an Inhomogeneous XYZ Integrable Model
BibTeX
@misc{costa2026classical,
title = {{Classical spin liquids in the kagome Ising model, and their link with magnetoelasticity}},
author = {T. Vignau Costa and J. Colbois and G. L. Rossini and F. Mila and D. C. Cabra and S. A. Grigera and R. A. Borzi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.28298},
eprint = {2610.28298},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.28298},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Classical spin liquids in the kagome Ising model, and their link with magnetoelasticity
AU - T. Vignau Costa
AU - J. Colbois
AU - G. L. Rossini
AU - F. Mila
AU - D. C. Cabra
AU - S. A. Grigera
AU - R. A. Borzi
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.28298
UR - https://arxiv.org/abs/2610.28298
AB - We investigate a nearest-neighbor Ising model on the kagome lattice coupled to elastic lattice distortions. By integrating out the lattice degrees of freedom, we derive an approximate spin-only description in terms of a kagome J_1-J_2-J_3 Ising model with interactions extending to third nearest-neighbors. Using tensor network methods complemented by classical Monte Carlo simulations, we revisit its zero-temperature phase diagram and characterize the ground states studied more than thirty years ago. We discover three phases with extensive zero-temperature entropy and algebraically decaying spin correlations. Importantly, these states are not confined to fine-tuned points or frontiers between phases, but occupy extended areas of parameter space. Their quasi long-range order is reflected in Bragg-like peaks in the structure factors; we relate this, and other properties, to diverse phases found in Ising and Heisenberg models. Finally, we trace the trajectories generated by the magnetoelastic coupling through the effective-model phase diagram, explaining the emergence of self-frustration for the unfrustrated magnetoelastic model with ferromagnetic interactions.
ER -