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Magnetic symmetry implications of the zero- and applied-field Hall effect of UNi4B

Abstract

The zero-field and applied-field Hall effects in noncollinear antiferromagnets provide evidence for topological states of matter and are tied to materials' magnetic symmetry. For UNi4B, the antiferromagnetic state with TN=20 K at zero and low magnetic field is debated due to recent magnetoelectric measurements and theory work calling into question the proposed toroidal arrangement of magnetic dipole moments. For a magnetic field applied within the plane of uranium magnetic moments, the field-dependent Hall resistivity of UNi4B shows a curved response for ρyz (H∥x, I∥z) and ρzx (H∥y, I∥x) up to ∼8 T at 2 K, while an out-of-plane field results in linear behavior of ρyx (H∥z, I∥x) up to 16 T. Analysis using conventional empirical relationships for the Hall effect indicate that an intrinsic effect from momentum-space Berry curvature contributes significantly to the curved transverse resistivity. Moreover, a finite zero-field Hall effect emerges at the onset of magnetic order for ρyz and ρzx, further supporting an intrinsic origin of the Hall response. Symmetry arguments for a finite Berry curvature, an observable magnetoelectric effect, and reported magnetic structures suggest that the previously proposed magnetic space groups for the zero-field magnetic structure cannot account for the observed finite zero-field effect for two Hall orientations. Instead, we propose that Cm' or Pm' magnetic symmetry, depending on the parent nonmagnetic space group, is consistent with Hall resistivity, neutron diffraction, and magnetoelectric effect measurements.

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BibTeX
@misc{riedel2026magnetic,
  title = {{Magnetic symmetry implications of the zero- and applied-field Hall effect of UNi$_4$B}},
  author = {Z. W. Riedel and W. S. Simeth and S. M. Thomas and F. Ronning and E. D. Bauer},
  howpublished = {arXiv},
  year = {2026},
  month = jun,
  doi = {10.48550/arxiv.2606.28582},
  eprint = {2606.28582},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.28582},
}
RIS
TY  - UNPB
TI  - Magnetic symmetry implications of the zero- and applied-field Hall effect of UNi_4B
AU  - Z. W. Riedel
AU  - W. S. Simeth
AU  - S. M. Thomas
AU  - F. Ronning
AU  - E. D. Bauer
PY  - 2026
DA  - 2026/06/26
PB  - arXiv
DO  - 10.48550/arxiv.2606.28582
UR  - https://arxiv.org/abs/2606.28582
AB  - The zero-field and applied-field Hall effects in noncollinear antiferromagnets provide evidence for topological states of matter and are tied to materials' magnetic symmetry. For UNi_4B, the antiferromagnetic state with T_N=20 K at zero and low magnetic field is debated due to recent magnetoelectric measurements and theory work calling into question the proposed toroidal arrangement of magnetic dipole moments. For a magnetic field applied within the plane of uranium magnetic moments, the field-dependent Hall resistivity of UNi_4B shows a curved response for ρ_yz (H∥x, I∥z) and ρ_zx (H∥y, I∥x) up to ∼8 T at 2 K, while an out-of-plane field results in linear behavior of ρ_yx (H∥z, I∥x) up to 16 T. Analysis using conventional empirical relationships for the Hall effect indicate that an intrinsic effect from momentum-space Berry curvature contributes significantly to the curved transverse resistivity. Moreover, a finite zero-field Hall effect emerges at the onset of magnetic order for ρ_yz and ρ_zx, further supporting an intrinsic origin of the Hall response. Symmetry arguments for a finite Berry curvature, an observable magnetoelectric effect, and reported magnetic structures suggest that the previously proposed magnetic space groups for the zero-field magnetic structure cannot account for the observed finite zero-field effect for two Hall orientations. Instead, we propose that Cm' or Pm' magnetic symmetry, depending on the parent nonmagnetic space group, is consistent with Hall resistivity, neutron diffraction, and magnetoelectric effect measurements.
ER  -