From discrete to continuum in the helical XY-model: emergence of chirality transitions in the $S^1$ to $S^2$ limit

Marco Cicalese, Dario Reggiani, Francesco Solombrino

We analyze the discrete-to-continuum limit of a frustrated ferromagnetic/anti-ferromagnetic ${\mathbb{S}}^2$-valued spin system on the lattice ${\lambda }_n{\mathbb{Z}}^2$ as ${\lambda }_n\to 0$. For $\…