Diagram showing the directions of magnetic spins in a hopfion ring. These hopfions can form coupled states with strings of skyrmions in plates cut from a single crystal of iron germanide. (Courtesy: ...

The findings open up new fields in experimental physics: identifying other crystals in which hopfions are stable, studying how hopfions interact with electric and spin currents, hopfion dynamics, and ...

Over the past few decades, some physicists worldwide have been investigating unusual particle-like magnetic structures known as topological solitons. These structures could potentially be leveraged to ...

Just as a literature buff might explore a novel for recurring themes, physicists and mathematicians search for repeating structures present throughout nature. For example, a certain geometrical ...

For the first time, an international team of researchers has experimentally observed magnetic hopfions. This is a new three-dimensional magnetic structure where electron spins form closed, linked ...

Hopfions, magnetic spin structures predicted decades ago, have become a hot and challenging research topic in recent years. New findings open up new fields in experimental physics: identifying other ...

Scientists find a unique knotted structure — one that repeats itself throughout nature — in a ferroelectric nanoparticle, a material with promising applications in microelectronics and computing. Just ...

In a recent theoretical study, scientists discovered the presence of the Hopfion topological structure in nano-sized particles of ferroelectrics -- materials with promising applications in ...

“Our results are important from both a fundamental and applied point of view, as a new bridge has emerged between experimental physics and abstract mathematical theory, potentially leading to hopfions ...