Published Paper

Inserted: 6 apr 2020
Last Updated: 25 jun 2022

Journal: Calc. Var. Partial Diff. Equations
Volume: 60
Number: 4
Pages: Paper No. 149, 36pp.
Year: 2021

Abstract:

We study the discrete-to-continuum variational limit of the antiferromagnetic XY model on the two-dimensional triangular lattice. The system is fully frustrated and displays two families of ground states distinguished by the chirality of the spin field. We compute the {\Gamma}-limit of the energy in a regime which detects chirality transitions on one-dimensional interfaces between the two admissible chirality phases.

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