Spin textures with nontrivial topology, such as vortices and skyrmions, have attracted
attention as a source of unconventional magnetic, transport, and optical phenomena …

The effective spin Hamiltonian method has drawn considerable attention for its power to
explain and predict magnetic properties in various intriguing materials. In this review, we …

The notion of non-trivial topological winding in condensed matter systems represents a
major area of present-day theoretical and experimental research. Magnetic materials offer a …

We theoretically investigate multiple-Q spin textures, which are composed of superpositions
of spin density waves with different wave numbers, for an effective spin model of …

The magnetic skyrmion crystal is a periodic array of a swirling topological spin texture. Since
it is regarded as an interference pattern by multiple helical spin density waves, the texture …

The search for topological magnetism in two-dimensional (2D) magnetic materials is one of
the hot topics in spintronics. We present comprehensive studies of magnetic phases in a …

Chains of magnetic atoms with either strong spin-orbit coupling or spiral magnetic order
which are proximity-coupled to superconducting substrates can host topologically non-trivial …

Magnetism at low dimensions is a thriving field of research with exciting opportunities in
technology. This Colloquium focuses on the properties of 1D magnetic systems on solid …

We investigate the spin excitation spectra in chiral and polar magnets by the linear spin-
wave theory for an effective spin model with symmetric and antisymmetric long-range …

Magnetic interactions underpin a plethora of magnetic states of matter, hence playing a
central role both in fundamental physics and for future spintronic and quantum computation …