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Anomalous Hall Response Induced by Correlated Disorder in the Breathing Kagome Lattice Mn3Sn

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Abstract

Macroscopic transport tensors are generally constrained by the average crystallographic and magnetic symmetries of a material. In the kagome antiferromagnetic Weyl semimetals Mn3+δX (X=~Sn or Ge), previous studies showed that the anomalous Hall conductivity σyx is forbidden by the average \hexsg{} structure and coplanar inverse-triangular magnetic order. Here we report that nearly stoichiometric Mn3Sn nevertheless exhibits a finite σyx with large hysteresis, together with enhanced σzx and σyz, in the inverse-triangular phase below TN1≈ 440 K, whereas all AHE components vanish in the amplitude-modulated conical phase below TN2≈ 280 K. Total scattering and magnetic pair distribution function analysis reveal correlated orthorhombic distortions and noncoplanar Mn moments. First-principles calculations show that this coupled lattice-spin distortion activates the average symmetry forbidden σyx within the inverse-triangular phase. Its disappearance below TN2 indicates that the correlated disorder must cooperate with a long-range inverse-triangular antiferromagnetic order capable of supporting Berry curvature. Our results establish correlated disorder as an active symmetry-breaking degree of freedom that enables topological transport inaccessible from the Bragg-average structure alone.

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BibTeX
@misc{yang2026anomalous,
  title = {{Anomalous Hall Response Induced by Correlated Disorder in the Breathing Kagome Lattice Mn$_3$Sn}},
  author = {Tsung-Han Yang and Seng Huat Lee and Hengxin Tan and Yuanpeng Zhang and Benjamin A. Frandsen and Václav Petříček and Huibo Cao and Daniel Olds and Matthew G. Tucker and Jiaqiang Yan and Binghai Yan and Zhiqiang Mao and Qiang Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.09699},
  eprint = {2609.09699},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.09699},
}
RIS
TY  - UNPB
TI  - Anomalous Hall Response Induced by Correlated Disorder in the Breathing Kagome Lattice Mn_3Sn
AU  - Tsung-Han Yang
AU  - Seng Huat Lee
AU  - Hengxin Tan
AU  - Yuanpeng Zhang
AU  - Benjamin A. Frandsen
AU  - Václav Petříček
AU  - Huibo Cao
AU  - Daniel Olds
AU  - Matthew G. Tucker
AU  - Jiaqiang Yan
AU  - Binghai Yan
AU  - Zhiqiang Mao
AU  - Qiang Zhang
PY  - 2026
DA  - 2026/09/09
PB  - arXiv
DO  - 10.48550/arxiv.2609.09699
UR  - https://arxiv.org/abs/2609.09699
AB  - Macroscopic transport tensors are generally constrained by the average crystallographic and magnetic symmetries of a material. In the kagome antiferromagnetic Weyl semimetals Mn_3+δX (X=~Sn or Ge), previous studies showed that the anomalous Hall conductivity σ_yx is forbidden by the average \hexsg{} structure and coplanar inverse-triangular magnetic order. Here we report that nearly stoichiometric Mn_3Sn nevertheless exhibits a finite σ_yx with large hysteresis, together with enhanced σ_zx and σ_yz, in the inverse-triangular phase below T_N1≈ 440 K, whereas all AHE components vanish in the amplitude-modulated conical phase below T_N2≈ 280 K. Total scattering and magnetic pair distribution function analysis reveal correlated orthorhombic distortions and noncoplanar Mn moments. First-principles calculations show that this coupled lattice-spin distortion activates the average symmetry forbidden σ_yx within the inverse-triangular phase. Its disappearance below T_N2 indicates that the correlated disorder must cooperate with a long-range inverse-triangular antiferromagnetic order capable of supporting Berry curvature. Our results establish correlated disorder as an active symmetry-breaking degree of freedom that enables topological transport inaccessible from the Bragg-average structure alone.
ER  -