Magnetic skyrmions are topologically stable nanoscale particlelike objects that were
discovered in 2009. Since that time, intense research interest in the field has led to the …

Symmetry breaking together with strong spin–orbit interaction gives rise to many exciting
phenomena within condensed matter physics. A recent example is the existence of chiral …

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 …

The well-known Hall effect describes the transverse deflection of charged particles
(electrons/holes) as a result of the Lorentz force. Similarly, it is intriguing to examine if quasi …

INTRODUCTION Topology is the study of geometric properties that are unaffected by
continuous changes in shape and size. Skyrmions are examples of topological defects in …

The field of spintronics, or magnetic electronics, is maturing and giving rise to new subfields.
These new directions involve the study of collective spin excitations and couplings of the …

Magnetic skyrmions are localized and topologically protected spin configurations, which are
of both fundamental and applied interests for future electronics. In this work, we propose a …

Magnetic skyrmions are vortex-like spin configurations that possess nanometric dimensions,
topological stability, and high controllability through various external stimuli. Since their first …

Magnetic skyrmions are attractive for representing data in next-generation spintronic devices
owing to their stability, small size, and ease of manipulation with spin torques. In order to …

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 …