Quantum

A thermally and perturbatively stable classical spin model in two dimensions

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Based on a feed excerpt; full article content has not been acquired. Source evidence retrieved 19/10/2026, 04:13:24 UTC.

Briefings

A 2D classical spin model from arXiv:2605.10943 is proven to host many metastable states at non-zero temperatures that remain stable under arbitrary Hamiltonian perturbations, marking the first such example. The proof uses a recursive application of the cluster expansion.

Key points

• The 2D classical spin model constructed in arXiv:2605.10943 hosts many metastable states at non-zero temperatures.
• These metastable states are stable to arbitrary Hamiltonian perturbations, providing the first such example in this model.

Context

This finding represents a significant advancement in understanding metastability in classical spin systems, as it establishes a new class of states that are robust against external perturbations.

Limitations

The proof relies on a recursive application of the cluster expansion, which may not apply to all systems. The evidence is from a preprint (arXiv:2610.22548v1) and the specific numerical values of the metastable states are not provided.

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