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  • Letter

Layer-selective proximity symmetry breaking enables anomalous and nonlinear Hall responses in 1H−NbX2 (X=S, Se, Te)

Yusuf Wicaksono and Toshikaze Kariyado*

  • *Contact author: KARIYADO.Toshikaze@nims.go.jp

Phys. Rev. B 114, L171402 – Published 8 September, 2026

DOI: https://doi.org/10.1103/bmwn-9jk5

Abstract

Nonlinear Hall responses provide an electrical probe of Berry-curvature dipoles, but they are symmetry forbidden in many pristine two-dimensional metals. We show that layer-selective magnetic proximity provides a symmetry-controlled route to induce and tune anomalous and nonlinear Hall responses in metallic monolayer 1H−NbX2 (X=S,Se,Te), where the nonmagnetic D3h crystal has vanishing anomalous Hall conductivity and a Berry-curvature dipole. Fully relativistic density-functional theory combined with Wannier interpolation shows that an out-of-plane proximity exchange preserving C3 generates a sizable sheet anomalous Hall conductivity, σxysheet∼10−2(e2/h) in representative active windows, while the Berry-curvature dipole remains zero. Breaking C3 by introducing an in-plane exchange component, or by using an orthogonal two-sided exchange texture, produces a tunable Berry-curvature dipole and hence a nonlinear Hall response. Its exchange-odd part is linear in the in-plane exchange to leading order in the minimal model; the calculated spectra reach and can exceed |Dy|∼10−2Å, with the largest and sharpest features in NbTe2. These trends are rationalized by symmetry analysis and an interface-induced k-linear Rashba-Zeeman minimal model. Within the idealized proximity model, an orthogonal dual-interface geometry further provides component-selective sign reversal of the first- and second-harmonic Hall signals in the same Hall-bar configuration.

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