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

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1. Verfasser: Kesharpu, Kaushal Kumar
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Veröffentlicht: 2023
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author Kesharpu, Kaushal Kumar
author_facet Kesharpu, Kaushal Kumar
contents 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 $S \leq 3$ 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, $+σ_{xy}^{THE} \to -σ_{xy}^{THE}$ or vice-versa, when $S$ is constant. We also propose several heterostrucures for experimental realization of this effect.
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id arxiv_https___arxiv_org_abs_2305_13423
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle 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
Kesharpu, Kaushal Kumar
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
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 $S \leq 3$ 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, $+σ_{xy}^{THE} \to -σ_{xy}^{THE}$ or vice-versa, when $S$ is constant. We also propose several heterostrucures for experimental realization of this effect.
title 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
topic Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2305.13423