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PreprintCC BY 4.0arXiv

In-plane anomalous and third-harmonic Hall response in an easy-plane trigonal magnet

  • Arnab Das
  • Soumik Mukhopadhyay
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Abstract

We report the emergence of an in-plane anomalous Hall effect (IPAHE) and a pronounced third-harmonic Hall response in an easy-plane trigonal magnetic system achieved via tuning of magnetic anisotropy. Angle-dependent Hall measurements reveal a clear departure from conventional sinusoidal behavior, revealing a strong sin(3θ) component at elevated fields, which increases as the magnetic anisotropy is reduced, accompanied by a finite in-plane Hall signal. Consistently, the observed nonlinear Hall signal exhibits a cubic field dependence, indicative of a leading third-order contribution to the transverse conductivity. The enhancement of the third harmonic reflects the evolution toward coherent in-plane magnetization and symmetry-governed nonlinear transport. These observations support an intrinsic, symmetry-controlled transport mechanism enabled by reduced magnetic anisotropy and establish a direct link between anisotropy, crystal symmetry, and higher-order Hall response.

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Cite

BibTeXRIS
BibTeX
@misc{das2026inplane,
  title = {{In-plane anomalous and third-harmonic Hall response in an easy-plane trigonal magnet}},
  author = {Arnab Das and Soumik Mukhopadhyay},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.12738},
  eprint = {2609.12738},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.12738},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - In-plane anomalous and third-harmonic Hall response in an easy-plane trigonal magnet
AU  - Arnab Das
AU  - Soumik Mukhopadhyay
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.12738
UR  - https://arxiv.org/abs/2609.12738
AB  - We report the emergence of an in-plane anomalous Hall effect (IPAHE) and a pronounced third-harmonic Hall response in an easy-plane trigonal magnetic system achieved via tuning of magnetic anisotropy. Angle-dependent Hall measurements reveal a clear departure from conventional sinusoidal behavior, revealing a strong sin(3θ) component at elevated fields, which increases as the magnetic anisotropy is reduced, accompanied by a finite in-plane Hall signal. Consistently, the observed nonlinear Hall signal exhibits a cubic field dependence, indicative of a leading third-order contribution to the transverse conductivity. The enhancement of the third harmonic reflects the evolution toward coherent in-plane magnetization and symmetry-governed nonlinear transport. These observations support an intrinsic, symmetry-controlled transport mechanism enabled by reduced magnetic anisotropy and establish a direct link between anisotropy, crystal symmetry, and higher-order Hall response.
ER  -