Chiral anomaly induced nonlinear Hall effect in semimetals with multiple Weyl points
Chiral anomaly induced nonlinear Hall effect in semimetals with multiple Weyl points
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DOI：
10.1103/physrevb.104.205124
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发表时间：
2021-11-22
影响因子：
3.7
通讯作者：
Tewari, Sumanta
中科院分区：
文献类型：
--
作者：
Nandy, Snehasish;Zeng, Chuanchang;Tewari, Sumanta
贝里曲率偶极子（BCD）诱导的非线性霍尔效应（NLHE）在实验上实现后，引起了凝聚态物理学界的极大兴趣。在这里，我们研究了另一类霍尔效应，即手征反常诱导的多外尔半金属（mWSM）非线性霍尔效应（CNHE）。与BCD诱导的NLHE相反，CNHE的出现是由于手征反常和非平凡Berry曲率引起的反常速度的共同作用。利用弛豫时间近似下的半经典玻尔兹曼理论，我们证明了与手征反常引起的线性霍尔效应相反，CNHE的大小随拓扑荷n的增加而减小.有趣的是，我们发现，CNHE在不同的平面有不同的行为，为单一和三重Weyl半金属。我们对CNHE在mWSM中的行为的预测可以直接在实验中检查。
After the experimental realization, the Berry curvature dipole (BCD) induced nonlinear Hall effect (NLHE) has attracted tremendous interest to the condensed matter community. Here, we investigate another family of Hall effect, namely, chiral anomaly induced nonlinear Hall effect (CNHE) in multi-Weyl semimetal (mWSM). In contrast to the BCD-induced NLHE, CNHE appears because of the combination of both chiral anomaly and anomalous velocity due to nontrivial Berry curvature. Using the semiclassical Boltzmann theory within the relaxation time approximation, we show that, in contrast to the chiral anomaly induced linear Hall effect, the magnitude of CNHE decreases with the topological charge n. Interestingly, we find that the CNHE has different behaviors in different planes for single and triple Weyl semimetals. Our prediction on the behavior of CNHE in mWSM can directly be checked in experiments.