3 papers
cond-mat.mtrl-sci2019
Unraveling the role of dipolar versus Dzyaloshinskii-Moriya interaction in stabilizing compact magnetic skyrmions
Anne Bernand-Mantel, Cyrill B. Muratov, Thilo M. Simon
Magnetic skyrmions have been the subject of extensive experimental studies in ferromagnetic thin films and multilayers, revealing a diversity in their size, stability and internal…
math.AP2018
A nonlocal isoperimetric problem with dipolar repulsion
Cyrill B. Muratov, Thilo Simon
We study a geometric variational problem for sets in the plane in which the perimeter and a regularized dipolar interaction compete under a mass constraint. In contrast to previous…
math.AP2018
Quantitative aspects of the rigidity of branching microstructures in shape memory alloys via H-measures
Thilo M. Simon
We quantify the rigidity of branching microstructures in shape memory alloys undergoing cubic-to-tetragonal transformations in the geometrically linearized theory by making use of…