by the magnetostatic interaction is biaxial, with a hard axis normal to the ribbon and an easy axis along the central curve. The micromagnetic energy of a narrow ribbon reduces to that of a one-dimensional ferromagnetic

wire, but with curvature, torsion and local anisotropy modified by the rate of turning. These general results are applied to two examples, namely a helicoid ribbon, for which the central curve is a straight line, and a Möbius

ribbon, for which the central curve is a circle about which the line segment executes a 180◦ twist. In both examples, for large positive tangential anisotropy, the ground state magnetization lies tangent to the central curve. As the tangential anisotropy is decreased, the ground state magnetization undergoes a transition, acquiring an in-surface component perpendicular to the central curve. For the helicoid ribbon, the transition occurs at vanishing anisotropy, below which the ground state is uniformly perpendicular to the central curve. The transition for the Möbius ribbon is more subtle; it occurs at a positive critical value of the anisotropy, below which the ground state is nonuniform. For the helicoid ribbon, the dispersion law for spin wave excitations about the tangential state is found to exhibit an asymmetry determined by the geometric and magnetic chiralities.

*Journal of Physics A: Mathematical and Theoretical*. 50 (2017) 385401, PDF

Magnonics is the field of science referring to information transport and processing by spin waves. Magnons are the quanta of spin waves. They have advantages offering more efficient concepts for data transport and processing. Periodic magnetic structures play an important role in the magnonics. Such artificial magnetic materials with properties periodically varied in space is magnonic crystals. They are perspective for controlling and manipulating the magnons due to the spin-waves spectrum. We will discuss about different methods for magnons excitation and detection, magnonic crystals and magnonic devices this Friday.

]]>Antiferromagnetic materials are of gread interest for theoretical and experimental spintronics due to their SHF properties. We will discuss modern achievements in spintronics of antiferromagnets.

]]>*Journal of Physics D: Applied Physics*, **49**, 363001 (2016) PDF

*Scientific Reports* **6**, 23316 (2016) PDF, Supplementary Information and Video

*Phys. Rev. B.* **92**, 094418 (2016), PDF