Microstructures in a two-dimensional frustrated spin system: Scaling regimes and a discrete-to-continuum limit
J Ginster, M Koser, B Zwicknagl - arXiv preprint arXiv:2406.08339, 2024 - arxiv.org
We study pattern formation within the $ J_1 $-$ J_3 $-spin model on a two-dimensional
square lattice in the case of incompatible (ferromagnetic) boundary conditions on the spin …
square lattice in the case of incompatible (ferromagnetic) boundary conditions on the spin …
Renormalized energy between fractional vortices with topologically induced free discontinuities on 2-dimensional Riemannian manifolds
R Badal, M Cicalese - arXiv preprint arXiv:2204.01840, 2022 - arxiv.org
On a two-dimensional Riemannian manifold without boundary we consider the variational
limit of a family of functionals given by the sum of two terms: a Ginzburg-Landau and a …
limit of a family of functionals given by the sum of two terms: a Ginzburg-Landau and a …