- the
hopfions.
Stable hopfions were
predicted within various physical platforms,
including Yang–Mills theory,
superconductivity and magnetism.
Hopfions have...
- such as
skyrmions (with
integer skyrmion charge), or 3D
defects such as
Hopfions (with
integer Hopf index). The
definition can be
extended to
include dislocations...
- Hopf link Hopf
manifold Hopf
surface Hopf
theorem Hopf's
integral formula Hopfion Hopf–Rinow
theorem Freudenthal-Hopf
theorems Killing–Hopf
theorem Poincaré–Hopf...
-
excitations in
superconducting state:
knotted solitons also
dubbed as
Hopfions. He is
actively engaged in
science communication to
general public. Currently...
-
solitons which appear in
magnetic materials. In 3D
these are
sometimes called hopfions.
Magnon A
coherent excitation of
electron spins in a
material Majorana...
-
skyrmions – the ****ure bits for "0" and "1" – can
exist at room temperature.
Hopfion, 3D
counterpart of
skyrmions Skyrme, T. H. R.; Schonland,
Basil Ferdinand...
-
University (B.S.,M.S. 1995) Kent
State University (Ph.D., 2003) Known for
Hopfions Heliknotons Toron Topological colloids Topological soliton Transparent...
- Yang, L.; Shi, W.; Blügel, S.; Dunin-Borkowski, R. E. (November 2023). "
Hopfion rings in a
cubic chiral magnet". Nature. 623: 718–723. doi:10.1038/s41586-023-06658-5...
