Quantum-metric-induced nonlinear transport in a topological antiferromagnet

Naizhou Wang, Daniel Kaplan, Zhaowei Zhang, Tobias Holder, Ning Cao, Aifeng Wang, Xiaoyuan Zhou, Feifei Zhou, Zhengzhi Jiang, Chusheng Zhang, Shihao Ru, Hongbing Cai, Kenji Watanabe, Takashi Taniguchi, Binghai Yan () and Weibo Gao ()
Additional contact information
Naizhou Wang: Nanyang Technological University
Daniel Kaplan: Weizmann Institute of Science
Zhaowei Zhang: Nanyang Technological University
Tobias Holder: Weizmann Institute of Science
Ning Cao: Chongqing University
Aifeng Wang: Chongqing University
Xiaoyuan Zhou: Chongqing University
Feifei Zhou: Nanyang Technological University
Zhengzhi Jiang: Nanyang Technological University
Chusheng Zhang: Nanyang Technological University
Shihao Ru: Nanyang Technological University
Hongbing Cai: Nanyang Technological University
Kenji Watanabe: National Institute for Materials Science
Takashi Taniguchi: National Institute for Materials Science
Binghai Yan: Weizmann Institute of Science
Weibo Gao: Nanyang Technological University

Nature, 2023, vol. 621, issue 7979, 487-492

Abstract: Abstract The Berry curvature and quantum metric are the imaginary part and real part, respectively, of the quantum geometric tensor, which characterizes the topology of quantum states1. The Berry curvature is known to generate a number of important transport phenomena, such as the quantum Hall effect and the anomalous Hall effect2,3; however, the consequences of the quantum metric have rarely been probed by transport measurements. Here we report the observation of quantum-metric-induced nonlinear transport, including both a nonlinear anomalous Hall effect and a diode-like non-reciprocal longitudinal response, in thin films of a topological antiferromagnet, MnBi2Te4. Our observations reveal that the transverse and longitudinal nonlinear conductivities reverse signs when reversing the antiferromagnetic order, diminish above the Néel temperature and are insensitive to disorder scattering, thus verifying their origin in the band-structure topology. They also flip signs between electron- and hole-doped regions, in agreement with theoretical calculations. Our work provides a means to probe the quantum metric through nonlinear transport and to design magnetic nonlinear devices.

Date: 2023
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DOI: 10.1038/s41586-023-06363-3

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