We study a variational approach to explain pattern formation in helimagnets. Starting from a frustrated spin system, we derive (in the sense of Gamma-convergence) a continuum limiting model at the helimagnetic/ferromagnetic transition point in the case of incompatible boundary conditions. For the resulting model, we derive the scaling law for the minimal energy which indicates the formation of branching-type patterns in certain parameter regimes. Connections to other pattern-forming systems will also be discussed.
This talk is based on joint work with Janusz Ginster and Melanie Koser (both Humboldt-Universität zu Berlin).