Spins on a Möbius ring

Coupling of Chiralities in Spin and Physical Spaces: The Möbius Ring as a Case Study.
Oleksandr V. Pylypovskyi, Volodymyr P. Kravchuk, Denis D. Sheka, Denys Makarov, Oliver G. Schmidt, and Yuri Gaididei
Phys. Rev. Lett. 114, 197204 (2015)

Diagram of ground states of magnetic Möbius rings with fixed radius R=100  nm and width w=80, see (a). The magnetization distributions of possible ground states are shown in the middle part in a large scale: (b) vortex state (marked by disks on the diagram), (c) state with single transversal Bloch domain wall (open squares), (d) state with three transversal Bloch walls (filled triangles), (e) states with longitudinal domain wall (filled squares). The detailed structures of the transverse and longitudinal domain walls are shown in (c′) and (e′), respectively.