Geometry-induced magnetic effects in planar curvilinear nanosystems

Historically, investigation of curvature-induced effects in micromagnetism has started from planar curved ferromagnetic systems, e.g. rings, spirals, curved wires and narrow ribbons. In general, these systems could be considered as quasi one-dimensional magnetic objects, whose parameters change only along the wire while remaining constant in cross section. Thus, in the scope of this chapter much attention is dedicated to the general theoretical toolbox for the description of magnetic effects in flat curved systems without torsion. Here, the theoretical activities on the topic of curvilinear wires are summarized providing a systematic description of various static and dynamic curvature-induced effects in such systems. Also, it is discussed the available methods for the fabrication, characterization, and utilization of flat curved systems for the formation of new artificial chiral nanostructures with defined properties from standard magnetic materials.