Berry curvature quadrupole induced third-order anomalous Hall effect in altermagnetic KV2Se2O
Abstract
Altermagnets combine compensated magnetic order with momentum-dependent spin splitting, providing a symmetry-rich platform for exploring nonlinear quantum-geometric transport. In the d-wave altermagnet considered here, the antiunitary symmetry operation TC4z enforces a vanishing momentum-integrated Berry curvature, while inversion symmetry forbids a finite Berry-curvature dipole. Consequently, the Berry curvature quadrupole (BCQ) can provide a contribution to the nonlinear Hall response, scaling as τ2, where τ denotes the relaxation time. We derive a gauge-covariant Wannier interpolation formula that enables efficient evaluation of the BCQ directly from first-principles Wannier tight-binding Hamiltonians. Applying this framework to KV2Se2O, we calculate the momentum-space distribution of the BCQ and the associated chemical potential dependent nonlinear conductivity. The momentum-resolved analysis reveals that the dominant contribution originates from spin-orbit coupling induced avoided arossings, directly linking the gap structure to the sign-changing nonlinear response. Our work establishes a general first-principles route to higher-order quantum-geometric responses in altermagnets, opening avenues for exploring nonlinear Hall effects in next-generation spintronic and magnetoelectronic devices.
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BibTeX
@misc{yao2026berry,
title = {{Berry curvature quadrupole induced third-order anomalous Hall effect in altermagnetic $\mathrmKV_2Se_2O$}},
author = {Jiacheng Yao and Zhuocheng Lu and Zhichao Guo and Hua Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.41274},
eprint = {2610.41274},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.41274},
}
RIS
TY - UNPB
TI - Berry curvature quadrupole induced third-order anomalous Hall effect in altermagnetic KV_2Se_2O
AU - Jiacheng Yao
AU - Zhuocheng Lu
AU - Zhichao Guo
AU - Hua Wang
PY - 2026
DA - 2026/10/30
PB - arXiv
DO - 10.48550/arxiv.2610.41274
UR - https://arxiv.org/abs/2610.41274
AB - Altermagnets combine compensated magnetic order with momentum-dependent spin splitting, providing a symmetry-rich platform for exploring nonlinear quantum-geometric transport. In the d-wave altermagnet considered here, the antiunitary symmetry operation TC_4z enforces a vanishing momentum-integrated Berry curvature, while inversion symmetry forbids a finite Berry-curvature dipole. Consequently, the Berry curvature quadrupole (BCQ) can provide a contribution to the nonlinear Hall response, scaling as τ^2, where τ denotes the relaxation time. We derive a gauge-covariant Wannier interpolation formula that enables efficient evaluation of the BCQ directly from first-principles Wannier tight-binding Hamiltonians. Applying this framework to KV_2Se_2O, we calculate the momentum-space distribution of the BCQ and the associated chemical potential dependent nonlinear conductivity. The momentum-resolved analysis reveals that the dominant contribution originates from spin-orbit coupling induced avoided arossings, directly linking the gap structure to the sign-changing nonlinear response. Our work establishes a general first-principles route to higher-order quantum-geometric responses in altermagnets, opening avenues for exploring nonlinear Hall effects in next-generation spintronic and magnetoelectronic devices.
ER -