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Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure

Anyuan Gao, Yu-Fei Liu, Jian-Xiang Qiu, B. Ghosh, T. V. Trevisan, Y. Onishi, Chao-Wei Hu, Tiema Qian et al.

Science, 2023

379 citations

Abstract

Quantum geometry in condensed-matter physics has two components: the real part quantum metric and the imaginary part Berry curvature. Whereas the effects of Berry curvature have been observed through phenomena such as the quantum Hall effect in two-dimensional electron gases and the anomalous Hall effect (AHE) in ferromagnets, the quantum metric has rarely been explored. Here, we report a nonlinear Hall effect induced by the quantum metric dipole by interfacing even-layered MnBi2Te4 with black phosphorus. The quantum metric nonlinear Hall effect switches direction upon reversing the antiferromagnetic (AFM) spins and exhibits distinct scaling that is independent of the scattering time. Our results open the door to discovering quantum metric responses predicted theoretically and pave the way for applications that bridge nonlinear electronics with AFM spintronics. Description Editor’s summary The quantum metric, which quantifies the distance between neighboring wavefunctions in a quantum system, has been predicted to affect many physical responses. One example is the predicted nonlinear anomalous Hall effect in antiferromagnets with particular symmetries. Gao et al. observed this effect in a structure consisting of an even number of layers of the material MnBi2Te4 interfaced with black phosphorus. The researchers reached their conclusions by carefully ruling out alternative interpretations. The results establish the system as a viable setting for studying the effects of the…

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