Traditionally, the primary field, where curvature has been at the heart of research, is the
theory of general relativity. In recent studies, however, the impact of curvilinear geometry …

By exploring geometry-governed magnetic interactions, curvilinear magnetism offers a
number of intriguing effects in curved magnetic wires and curved magnetic films. Recent …

Chiral effects originate from the lack of inversion symmetry within the lattice unit cell or
sample's shape. Being mapped onto magnetic ordering, chirality enables topologically non …

We revisit the basic variational formulation of the minimization problem associated with the
micromagnetic energy, with an emphasis on the treatment of the stray field contribution to …

The influence of the geometrical curvature of chiral magnetic films on the static and dynamic
properties of hosted skyrmions is studied theoretically. We predict the effects of the curvature …

A ribbon is a surface swept out by a line segment turning as it moves along a central curve.
For narrow magnetic ribbons, for which the length of the line segment is much less than the …

Spectrum of spin eigenmodes localized on a ferromagnetic skyrmion pinned by a
geometrical defect (bump) of magnetic films is studied theoretically. By means of direct …

Curvilinear nanomagnets can support magnetic skyrmions stabilized at a local curvature
without any intrinsic chiral interactions. Here, we propose an alternative mechanism to …

In this paper, we aim at a reduced 2 d-model describing the observable states of the
magnetization in curved thin films. Under some technical assumptions on the geometry of …

Curvature impacts physical properties across multiple length scales, ranging from the
macroscopic scale, where the shape and size vary drastically with the curvature, to the …