Understanding the magnetic interactions is of fundamental importance in condensed-matter
physics as well as in the application of spintronic devices. In the past 13 years, the …

In the face of escalating modern data storage demands and the constraints of Moore's Law,
exploring spintronic solutions, particularly the devices based on magnetic skyrmions, has …

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 …

Magnetic hopfions are string-like three-dimensional topological solitons, characterised by
the Hopf number. They serve as a fundamental prototype for three-dimensional magnetic …

With the development of new nanofabrication technologies and measurement techniques,
the interest of researchers is moving toward 3D structures and 3D magnetization textures …

The abundant topological magnetic textures in three-dimensional systems provide
opportunities to investigate the fundamental spin dynamics and realize spintronic …

The lifetimes of magnetic hopfions on a discrete lattice with competing exchange
interactions are calculated within the framework of the transition state theory for magnetic …

We conduct a numerical analysis to explore the magnonic band structure of spin waves
(SWs) within a unique magnonic crystal. The latter is composed of a waveguide hosting a …

Topologically non-trivial magnetization configurations in ferromagnetic materials on the
nanoscale, such as hopfions, skyrmions, and vortices, have attracted considerable attention …

Creation and control of topological complex excitations play crucial roles in both
fundamental physics and modern information science. Torons are a sophisticated class of …