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Quantum geometry quadrupole-induced third-order nonlinear transport in antiferromagnetic topological insulator MnBi2Te4

Author

Listed:
  • Hui Li

    (Clear Water Bay)

  • Chengping Zhang

    (Clear Water Bay)

  • Chengjie Zhou

    (Clear Water Bay)

  • Chen Ma

    (Clear Water Bay)

  • Xiao Lei

    (South University of Science and Technology of China)

  • Zijing Jin

    (Clear Water Bay)

  • Hongtao He

    (South University of Science and Technology of China)

  • Baikui Li

    (Clear Water Bay)

  • Kam Tuen Law

    (Clear Water Bay)

  • Jiannong Wang

    (Clear Water Bay)

Abstract

The study of quantum geometry effects in materials has been one of the most important research directions in recent decades. The quantum geometry of a material is characterized by the quantum geometric tensor of the Bloch states. The imaginary part of the quantum geometry tensor gives rise to the Berry curvature while the real part gives rise to the quantum metric. While Berry curvature has been well studied in the past decades, the experimental investigation on the quantum metric effects is only at its infancy stage. In this work, we measure the nonlinear transport of bulk MnBi2Te4, which is a topological anti-ferromagnet. We found that the second order nonlinear responses are negligible as required by inversion symmetry, the third-order nonlinear responses are finite. The measured third-harmonic longitudinal ( $${V}_{{xx}}^{3\omega }$$ V x x 3 ω ) and transverse ( $${V}_{{xy}}^{3\omega }$$ V x y 3 ω ) voltages with frequency 3 $$\omega$$ ω , driven by an a.c. current with frequency $$\omega$$ ω , show an intimate connection with magnetic transitions of MnBi2Te4 flakes. Their magnitudes change abruptly as MnBi2Te4 flakes go through magnetic transitions from an antiferromagnetic state to a canted antiferromagnetic state and to a ferromagnetic state. In addition, the measured $${V}_{{xx}}^{3\omega }$$ V x x 3 ω is an even function of the applied magnetic field B while $${V}_{{xy}}^{3\omega }$$ V x y 3 ω is odd in B. Amazingly, the field dependence of the third-order responses as a function of the magnetic field suggests that $${V}_{{xx}}^{3\omega }$$ V x x 3 ω is induced by the quantum metric quadrupole and $${V}_{{xy}}^{3\omega }$$ V x y 3 ω is induced by the Berry curvature quadrupole. Therefore, the quadrupoles of both the real and the imaginary part of the quantum geometry tensor of bulk MnBi2Te4 are revealed through the third order nonlinear transport measurements. This work greatly advanced our understanding on the connections between the higher order moments of quantum geometry and nonlinear transport.

Suggested Citation

  • Hui Li & Chengping Zhang & Chengjie Zhou & Chen Ma & Xiao Lei & Zijing Jin & Hongtao He & Baikui Li & Kam Tuen Law & Jiannong Wang, 2024. "Quantum geometry quadrupole-induced third-order nonlinear transport in antiferromagnetic topological insulator MnBi2Te4," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
  • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-52206-8
    DOI: 10.1038/s41467-024-52206-8
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    References listed on IDEAS

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    1. 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 & Taka, 2023. "Quantum-metric-induced nonlinear transport in a topological antiferromagnet," Nature, Nature, vol. 621(7979), pages 487-492, September.
    2. Bo Chen & Fucong Fei & Dongqin Zhang & Bo Zhang & Wanling Liu & Shuai Zhang & Pengdong Wang & Boyuan Wei & Yong Zhang & Zewen Zuo & Jingwen Guo & Qianqian Liu & Zilu Wang & Xuchuan Wu & Junyu Zong & X, 2019. "Intrinsic magnetic topological insulator phases in the Sb doped MnBi2Te4 bulks and thin flakes," Nature Communications, Nature, vol. 10(1), pages 1-8, December.
    3. Zhaowei Zhang & Naizhou Wang & Ning Cao & Aifeng Wang & Xiaoyuan Zhou & Kenji Watanabe & Takashi Taniguchi & Binghai Yan & Wei-bo Gao, 2022. "Controlled large non-reciprocal charge transport in an intrinsic magnetic topological insulator MnBi2Te4," Nature Communications, Nature, vol. 13(1), pages 1-6, December.
    4. Qiong Ma & Su-Yang Xu & Huitao Shen & David MacNeill & Valla Fatemi & Tay-Rong Chang & Andrés M. Mier Valdivia & Sanfeng Wu & Zongzheng Du & Chuang-Han Hsu & Shiang Fang & Quinn D. Gibson & Kenji Wata, 2019. "Observation of the nonlinear Hall effect under time-reversal-symmetric conditions," Nature, Nature, vol. 565(7739), pages 337-342, January.
    5. Z. Z. Du & C. M. Wang & Hai-Peng Sun & Hai-Zhou Lu & X. C. Xie, 2021. "Quantum theory of the nonlinear Hall effect," Nature Communications, Nature, vol. 12(1), pages 1-7, December.
    6. A. Gianfrate & O. Bleu & L. Dominici & V. Ardizzone & M. Giorgi & D. Ballarini & G. Lerario & K. W. West & L. N. Pfeiffer & D. D. Solnyshkov & D. Sanvitto & G. Malpuech, 2020. "Measurement of the quantum geometric tensor and of the anomalous Hall drift," Nature, Nature, vol. 578(7795), pages 381-385, February.
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