Anomalous Hall resistivity and possible topological Hall effect in the EuAl${}_4$ antiferromagnet

Abstract

We report the observation of anomalous Hall resistivity in single crystals of EuAl${}_4$, a centrosymmetric tetragonal compound, which exhibits coexisting antiferromagnetic (AFM) and charge-density-wave (CDW) orders with onset at $T_{\mathrm{N}}\sim 15.6$ K and $T_{\mathrm{CDW}}\sim 140$ K, respectively. In the AFM state, when the magnetic field is applied along the $c$-axis direction, EuAl${}_4$ undergoes a series of metamagnetic transitions. Within this field range, we observe a clear hump-like anomaly in the Hall resistivity, representing part of the anomalous Hall resistivity. By considering different scenarios, we conclude that such a hump-like feature is most likely a manifestation of the topological Hall effect, normally occurring in noncentrosymmetric materials known to host nontrivial topological spin textures. In view of this, EuAl${}_4$ would represent a rare case where the topological Hall effect not only arises in a centrosymmetric structure, but it also coexists with CDW order.

arXiv comment7 pages, 4 figures, accepted by Phys. Rev. B (R)

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• Widely-sweeping magnetic field-temperature phase diagrams for skyrmion-hosting centrosymmetric tetragonal magnets
• Giant magnetoresistance and topological Hall effect in the EuGa4 antiferromagnet
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• Engineering a skyrmion crystal in ferromagnetic/antiferromagnetic bilayers free from the DM interaction
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• Spontaneous chirality selection and nonreciprocal spin wave in breathing-kagome antiferromagnets at zero field
• Correlation between Complex Spin Textures and the Magnetocaloric and Hall Effects in Eu(Ga${}_{1-x}$Al${}_x$)${}_4$ ($x$ = 0.9, 1)
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