PreprintarXiv licencearXiv
A thermally and perturbatively stable classical spin model in two dimensions
Abstract
We show that the 2D classical spin model constructed in arXiv:2605.10943 hosts many metastable states at non-zero temperature which are stable to arbitrary Hamiltonian perturbations, providing the first such example. Our proof relies on a recursive application of the cluster expansion.
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BibTeX
@misc{balasubramanian2026thermally,
title = {{A thermally and perturbatively stable classical spin model in two dimensions}},
author = {Shankar Balasubramanian and Margarita Davydova and Ting-Chun Lin and Ryan Thorngren},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.22548},
eprint = {2610.22548},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.22548},
}
RIS
TY - UNPB
TI - A thermally and perturbatively stable classical spin model in two dimensions
AU - Shankar Balasubramanian
AU - Margarita Davydova
AU - Ting-Chun Lin
AU - Ryan Thorngren
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2610.22548
UR - https://arxiv.org/abs/2610.22548
AB - We show that the 2D classical spin model constructed in arXiv:2605.10943 hosts many metastable states at non-zero temperature which are stable to arbitrary Hamiltonian perturbations, providing the first such example. Our proof relies on a recursive application of the cluster expansion.
ER -