Dmitry S. Ageev, Irina Ya. Aref'eva, Andrey A. Bagrov, Mikhail I. Katsnelson
https://arxiv.org/abs/1803.11162
To understand patterns in thin magnetic films and complexity in general you are doing sometimes very strange things; after evolutionary biology this is a time for holography - what will be the next? Classical philology, may be?
The main message for those who are interested in complexity rather than formalism:
"Although here we deal with a quantum conformal theory and not with a classical scale-invariant model, sticking to the same general philosophy we can say that criticality itself does not imply complexity, but serves as a seed of it: when hit with a local perturbation, a scale-invariant system demonstrates the maximal possible rate of complexity growth."