CRC/ TRR 109/3: Geometric Rigidity in Spin Systems (SP B11)

The project aims at developing a deeper understanding of typical low-energy states and to derive coarse-grained continuum theories of variational lattice spin theories. One of the main difficulties in this respect is the lack of understanding of elementary low-energy singularities such as vortices or line defects in spin systems. Our goal is to address these issues for simple but relevant lattice models. For that, we will combine methods from different areas: direct methods in the calculus of variations, abstract methods of Gamma-convergence and scaling laws analysis via domain branching constructions.