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arXiv · 2004.01416

The antiferromagnetic XY model on the triangular lattice: chirality transitions at the surface scaling

Annika Bach·Marco Cicalese·Leonard Kreutz·Gianluca Orlando
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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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Annika Bach, Marco Cicalese, Leonard Kreutz, Gianluca Orlando. 2020-04-03. The antiferromagnetic XY model on the triangular lattice: chirality transitions at the surface scaling. https://arxiv.org/abs/2004.01416

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