Preprint

Inserted: 1 jul 2026
Last Updated: 1 jul 2026

Year: 2026

Abstract:

In this paper we carry out a discrete-to-continuum variational analysis of the antiferromagnetic XY-model on a layered triangular lattice. This system is frustrated in the in-plane interactions, while no frustration occurs in the out-of plane interactions. We show that for this system we have energy concentration on a surface scale that can be detected in terms of a chirality variable. We characterise the Gamma-limit of the system in a regime that enforces rigidity of admissible limiting chiralities and apply this result to a dimension-reduction problem.

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