Frustration in magnetic materials arising from competing exchange interactions can prevent
the system from adopting long-range magnetic order and can instead lead to a diverse …

We show that time-reversal symmetry-broken, centrosymmetric antiferromagnets with
nonrelativistic spin splitting of d-wave symmetry—the so-called d-wave altermagnets—are …

We formulate a Landau theory for altermagnets, a class of collinear compensated magnets
with spin-split bands. Starting from the nonrelativistic limit, this Landau theory goes beyond a …

The three-dimensional emergent magnetic field B e of a magnetic hopfion gives rise to
emergent magnetomultipoles in a similar manner to the multipoles of classical …

Recent studies identified spin-order-driven phenomena such as spin-charge interconversion
without relying on the relativistic spin-orbit interaction. Those physical properties can be …

We show that time-reversal symmetry broken, centrosymmetric antiferromagnets with
nonrelativistic spin-splitting are conveniently described in terms of the ferroic ordering of …

We overview recent developments of electronic orderings and associated cross correlations
in condensed matter physics based on a complete set of multipole representations (electric …

The nature of an electric ferroaxial moment characterizing a time-reversal-even axial-vector
quantity is theoretically investigated under magnetic orderings. We clarify that a vortex spin …

We present a promising route to realize spontaneous magnetic order on the surface of a 3D
topological insulator by applying a superlattice potential. The superlattice potential lowers …

We propose a new mechanism of nonlinear nonreciprocal transport in magnetic systems. By
considering a noncoplanar magnetic ordering on a bilayer triangular lattice, we clarify that a …