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A thermally and perturbatively stable classical spin model in two dimensions

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.22548

Authors: Balasubramanian, Shankar, Davydova, Margarita, Lin, Ting-Chun, Thorngren, Ryan

Institutions: California Institute of Technology, Stanford University, University of California, Los Angeles

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7222969876

Cites: 10

Cited by:

Related to: 10