Topological Hall signatures of magnetic hopfions

Abstract

Magnetic hopfions are topologically protected three-dimensional solitons that are constituted by a tube which exhibits a topologically nontrivial spin texture in the cross-section profile and is closed to a torus. Here we show that the hopfion's locally uncompensated emergent field leads to a topological Hall signature, although the topological Hall effect vanishes on the global level. The topological Hall signature is switchable by magnetic fields or electric currents and occurs independently of the anomalous and conventional Hall effects. It can therefore be exploited to electrically detect hopfions in experiments and even to distinguish them from other textures like skyrmion tubes. Furthermore, it can potentially be utilized in spintronic devices. Exemplarily, we propose a hopfion-based racetrack data storage device and simulate the electrical detection of the hopfions as carriers of information.

6 pages, 4 figures

References in corpus (3)

• Unconventional Topological Hall Effect in Skyrmion Crystals Caused by the Topology of the Lattice
• Topological Hall and Spin Hall Effects in Disordered Skyrmionic Textures
• Vortex rings in ferromagnets

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• Unconventional transverse transport above and below the magnetic transition temperature in Weyl semimetal EuCd${}_2$As${}_2$
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• Field-driven dynamics of magnetic Hopfions
• Stabilization mechanisms of magnetic skyrmion crystal and multiple-$Q$ states based on momentum-resolved spin interactions
• Emergent Magneto-multipoles and Nonlinear Responses of a Magnetic Hopfion
• Giant magnetoresistance and topological Hall effect in the EuGa4 antiferromagnet
• Electronic scattering off a magnetic hopfion
• Stability of Hopfions in Bulk Magnets with Competing Exchange Interactions
• Emergent magnetic field and vector potential of the toroidal magnetic hopfions
• Lifetime, collapse and escape paths for hopfions in bulk magnets with competing exchange interactions
• Writing and detecting topological charges in exfoliated Fe${}_{5-x}$GeTe${}_2$
• Coherent backscattering in the topological Hall effect
• Emergent Magnetic Field and Nonzero Gyrovector of the Toroidal Magnetic Hopfion
• Experimental progress in Eu(Al,Ga)${}_4$ topological antiferromagnets
• Microscopic Theory of Nonlinear Hall Effect in Three-dimensional Magnetic Systems
• Interface-Induced Stability of Nontrivial Topological Spin Textures: Unveiling Room-Temperature Hopfions and Skyrmions
• Three-dimensional topological orbital Hall effect caused by magnetic hopfions
• Riemannian geometric classification and emergent phenomena of magnetic textures