Nonlinear magnetoelectric effect induced by quantum geometry in Weyl semimetal WTe<sub>2</sub>
ORAL
Abstract
The recent observed nonlinear transport offers new tools to gain deep understanding of the geometry properties of the electronic wave function. Typical examples include the Berry curvature dipole [1], Berry connection polarizability tensors [2], quantum metric dipole [3], and the related nonlinear Hall effect [4].
Importantly, the quantum geometry quantities are also able to induce unconventional magnetoelectric effect, featuring nonlinear current-induced magnetization [5]. The induced-magnetization shows a second-order response to the current, namely nonlinear magnetoelectric effect.
Here, we report the observation of nonlinear magnetoelectric effect in Weyl semimetal WTe2, which shows close relationship with the quantum geometry tensors [6,7]. The current-induced nonlinear magnetization is directly detected by ferromagnetic probes. Notably, with an applied AC current at frequency ω, an induced magnetization with second harmonic response at frequency 2ω is observed, and its magnitude demonstrates a quadratic dependence on the applied current, characteristic of the nonlinear magnetoelectric effect. More intriguingly, the nonlinear magnetoelectric effect can also lead to current-modulated anomalous Hall effect. Our work reveals the electric field-modulated spin/orbital texture via quantum geometry tensors, and facilitates the development of nonlinear spintronics based on quantum geometry effect.
[1] I. Sodemann and L. Fu, Phys. Rev. Lett. 115, 216806 (2015).
[2] Y. Gao, S. A. Yang, and Q. Niu, Phys. Rev. Lett. 112, 166601 (2014).
[3] N. Wang, D. Kaplan, Z. Zhang, et al., Nature 621, 487–492 (2023).
[4] X.-G. Ye, H. Liu, P.-F. Zhu, et al., Phys. Rev. Lett. 130, 016301 (2023).
[5] C. Xiao, W. Wu, H. Wang, et al., Phys. Rev. Lett. 130, 166302 (2023).
[6] X.-G. Ye, P.-F. Zhu, W.-Z. Xu, et al., accepted by PRB (2024).
[7] X.-G. Ye, P.-F. Zhu, W.-Z. Xu, et al., submitted.
Importantly, the quantum geometry quantities are also able to induce unconventional magnetoelectric effect, featuring nonlinear current-induced magnetization [5]. The induced-magnetization shows a second-order response to the current, namely nonlinear magnetoelectric effect.
Here, we report the observation of nonlinear magnetoelectric effect in Weyl semimetal WTe2, which shows close relationship with the quantum geometry tensors [6,7]. The current-induced nonlinear magnetization is directly detected by ferromagnetic probes. Notably, with an applied AC current at frequency ω, an induced magnetization with second harmonic response at frequency 2ω is observed, and its magnitude demonstrates a quadratic dependence on the applied current, characteristic of the nonlinear magnetoelectric effect. More intriguingly, the nonlinear magnetoelectric effect can also lead to current-modulated anomalous Hall effect. Our work reveals the electric field-modulated spin/orbital texture via quantum geometry tensors, and facilitates the development of nonlinear spintronics based on quantum geometry effect.
[1] I. Sodemann and L. Fu, Phys. Rev. Lett. 115, 216806 (2015).
[2] Y. Gao, S. A. Yang, and Q. Niu, Phys. Rev. Lett. 112, 166601 (2014).
[3] N. Wang, D. Kaplan, Z. Zhang, et al., Nature 621, 487–492 (2023).
[4] X.-G. Ye, H. Liu, P.-F. Zhu, et al., Phys. Rev. Lett. 130, 016301 (2023).
[5] C. Xiao, W. Wu, H. Wang, et al., Phys. Rev. Lett. 130, 166302 (2023).
[6] X.-G. Ye, P.-F. Zhu, W.-Z. Xu, et al., accepted by PRB (2024).
[7] X.-G. Ye, P.-F. Zhu, W.-Z. Xu, et al., submitted.
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Publication: [1] X.-G. Ye, H. Liu, P.-F. Zhu, et al., Control over Berry Curvature Dipole with Electric Field in WTe2, Phys. Rev. Lett. 130, 016301 (2023).<br>[2] X.-G. Ye, P.-F. Zhu, W.-Z. Xu, et al., Nonlinear Spin and Orbital Edelstein Effect in WTe2, accepted by PRB (2024).<br>[3] X.-G. Ye, P.-F. Zhu, W.-Z. Xu, et al., Anomalous Hall Effect Induced by Berry Connection Polarizability in Few-Layer Weyl Semimetal WTe2, submitted.
Presenters
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Xingguo Ye
Peking University
Authors
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Xingguo Ye
Peking University
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Zhi-Min Liao
Peking University