Magnetic hopfions are string-like three-dimensional topological solitons, characterised by the Hopf number. They serve as a fundamental prototype for three-dimensional magnetic quasiparticles and are an inspiration for novel device concepts in the field of spintronics. Based on a micromagnetic model and without considering temperature, the existence of such hopfions has been predicted in certain magnets with competing exchange interactions. However, physical realisation of freely moving hopfions in bulk magnets have so far been elusive. Here, we consider an effective Heisenberg model with competing exchange interactions and study the stability of small toroidal hopfions with Hopf number QH=1 by finding first-order saddle points on the energ...
Magnetic hopfions are topologically protected three-dimensional solitons that are constituted by a t...
International audienceAt large scales, magnetostatics of superconductors is described by a massive v...
AbstractWe present a direct connection between torus knots and Hopfions by finding stable and static...
Magnetic hopfions are string-like three-dimensional topological solitons, characterised by the Hopf ...
Hopfions are an intriguing class of string-like solitons, named according to a classical topological...
opological magnetic textures have attracted considerable interest since they exhibit new properties ...
More than 40 years ago, Faddeev proposed the existence of three-dimensional topological solitons cla...
Several materials, such as ferromagnets, spinor Bose-Einstein condensates, and some topological insu...
We present micromagnetic simulations on resonant spin wave modes of magnetic Hopfions up to 15 ...
Hopfions are a class of fields whose topology is derived from the Hopf fibration, with field lines t...
Cubic chiral magnets exhibit a remarkable diversity of two-dimensional topological magnetic textures...
3D topological solitons are marvels of mathematical physics that arise in theoretical models in elem...
We find exact static soliton solutions for the unit spin vector field of an inhomogeneous, anisotrop...
Nowadays, there is a huge interest among the scientific community in order to study magnetic exchang...
Among topological solitons, magnetic skyrmions are two-dimensional particle-like objects with a cont...
Magnetic hopfions are topologically protected three-dimensional solitons that are constituted by a t...
International audienceAt large scales, magnetostatics of superconductors is described by a massive v...
AbstractWe present a direct connection between torus knots and Hopfions by finding stable and static...
Magnetic hopfions are string-like three-dimensional topological solitons, characterised by the Hopf ...
Hopfions are an intriguing class of string-like solitons, named according to a classical topological...
opological magnetic textures have attracted considerable interest since they exhibit new properties ...
More than 40 years ago, Faddeev proposed the existence of three-dimensional topological solitons cla...
Several materials, such as ferromagnets, spinor Bose-Einstein condensates, and some topological insu...
We present micromagnetic simulations on resonant spin wave modes of magnetic Hopfions up to 15 ...
Hopfions are a class of fields whose topology is derived from the Hopf fibration, with field lines t...
Cubic chiral magnets exhibit a remarkable diversity of two-dimensional topological magnetic textures...
3D topological solitons are marvels of mathematical physics that arise in theoretical models in elem...
We find exact static soliton solutions for the unit spin vector field of an inhomogeneous, anisotrop...
Nowadays, there is a huge interest among the scientific community in order to study magnetic exchang...
Among topological solitons, magnetic skyrmions are two-dimensional particle-like objects with a cont...
Magnetic hopfions are topologically protected three-dimensional solitons that are constituted by a t...
International audienceAt large scales, magnetostatics of superconductors is described by a massive v...
AbstractWe present a direct connection between torus knots and Hopfions by finding stable and static...