Factors affecting the topological Hall effect in strongly correlated layered magnets: spin of the magnetic atoms, polar and azimuthal angle subtended by the spin texture

Abstract

The Hamiltonian of a two dimensional (2D) magnetic material in the strong correlation regime with a spin texture, for which both azimuthal and polar angle changes, is solved using $su(2)$ path integral method. The dependence of the Chern number on the atomic spin ($S$), azimuthal angle (${\vec{q}}_1$) and polar angle (${\vec{q}}_2$) modulation vector of the spin texture on a bipartite honeycomb lattice is found. For $S\le 3$ it was found that Chern number depends strongly on ${\vec{q}}_2$ and $S$. We discuss applicability of the model to several van der Waals magnets. Experimentally, it is expected that, with increase in spin modulation vector the sign of the topological Hall conductivity changes, $+{\sigma }_{xy}^{THE}\to -{\sigma }_{xy}^{THE}$ or vice-versa, when $S$ is constant. We also propose several heterostrucures for experimental realization of this effect.

22 Pages, 18 figures; Main text - 9 pages; Appendix - 9 pages

References in corpus (20)

• Advances in the Physics of Magnetic Skyrmions and Perspective for Technology
• Van der Waals heterostructures for spintronics and opto-spintronics
• Visualizing heavy fermions emerging in a quantum critical Kondo lattice
• Giant Skyrmions Stabilized by Dipole-Dipole Interactions in Thin Ferromagnetic Films
• Interfacial Control of Dzyaloshinskii Moriya Interaction in Heavy Metal_Ferromagnetic Metal Thin Film Heterostructures
• Room-temperature sub-100 nm Néel-type skyrmions in non-stoichiometric van der Waals ferromagnet $\mathrm{F}{\mathrm{e}}_{3-\mathrm{x}}\mathrm{GaT}{\mathrm{e}}_2$ with ultrafast laser writability
• Moiré and beyond in transition metal dichalcogenide twisted bilayers
• Chiral Spin Spirals at the Surface of the van der Waals Ferromagnet Fe${}_3$GeTe${}_2$
• Tunable Néel-Bloch magnetic twists in Fe3GeTe2 with van der Waals structure
• Real space Berry curvature of itinerant electron systems with spin-orbit interaction
• Itinerant ferromagnetism mediated by giant spin polarization of metallic ligand band in van der Waals magnet Fe5GeTe2
• Mottness in two-dimensional van der Waals Nb${}_3$X${}_8$ monolayers (X=Cl, Br, and I)
• Electronic correlations in the van der Waals ferromagnet Fe${}_3$GeTe${}_2$ revealed by its charge dynamics
• Modulation of skyrmionic magnetic textures in two-dimensional vdW materials and their heterostructures
• High transport spin polarization in the van der Waals ferromagnet Fe${}_4$GeTe${}_2$
• Stability of in-plane and out-of-plane chiral skyrmions in epitaxial MnSi(111)/Si(111) thin films: surface twists versus easy-plane anisotropy
• Phase diagram of the two-dimensional dipolar Heisenberg model with the Dzyaloshinskii-Moriya interaction and the Ising anisotropy
• Electronic correlation, magnetic structure and magnetotransport in few-layer CrI3
• Topological Hall effect induced by classical large-spin background: $su(2)$ path-integral approach
• Strong Correlation, Bloch Bundle Topology and Spinless Haldane-Hubbard Model

Cited by in corpus (1)

• Re-entrant topological order in strongly correlated nanowire due to Rashba spin-orbit coupling