3D Topological solitons in chiral magnets

Three dimensional knotted solitons are continuous field configurations classified by a Hopf topological invariant. These quasi-particles are known to arise in many laboratory systems and more exotic settings ranging from theories in particle physics to cosmology. By exploiting the external magnetic field and crystalline anisotropy couplings in a micromagnetic hamiltonian we numerically model a new class of 3D topological solitons embedded in a helical background. We determine the parameter region of stability afforded by the non-trivial twisting and windings present in our particle-like excitation. Furthermore, we analyze individual topological solitons and an ensemble of such in the bulk with multiparticle simulations to determine their interaction and self-assembly properties. Finally, we discuss how such topological excitations may find uses in racetrack magnetic memory devices and spintronics applications.