论文标题
倾斜的Weyl半含量
Intrinsic in-plane magnetononlinear Hall effect in tilted Weyl semimetals
论文作者
论文摘要
在具有扩展的半经典理论的武装中，我们提出了$ eb $订单的大厅效应，尤其是在Weyl Semimetals（WSMS）中。我们将这种效果配音为平面磁结线霍尔效应（IMHE），因为霍尔电流和驱动电场和磁场被限制在同一平面中。与固有的异常大厅效应相似，IMHE具有内在性质，因为它是由现场引起的异常速度$ \ \ vec {e} \ times \ times \vecΩ^b $引起的，其中$ \ \vecΩ^b $是通过磁场构成的浆果曲率。使用WSM的低能有效的哈密顿量，我们揭示了Weyl锥的倾斜是触发这种效果的关键。值得注意的是，我们发现即使\ textIt {手性异常}消失，imhe也可以生存，因为$ \ \vectΩ^b $（作为常规浆果曲率的校正）不影响单极电荷。此外，我们阐明了为此效果的最小和Zeeman耦合之间的相互作用。最后，讨论了检测IMHE的实验策略。
Armed with the extended semiclassical theory, we propose a Hall effect at $EB$ order, particularly in Weyl semimetals (WSMs). We dub this effect the in-plane magnetononlinear Hall effect (IMHE) since the Hall current and the driving electric and magnetic fields are confined in the same plane. Similar to the intrinsic anomalous Hall effect, the IMHE features an intrinsic nature because it arises from the field-induced anomalous velocity $\vec{E} \times \vecΩ^B$, where $\vecΩ^B$ is the Berry curvature induced by the magnetic field through both minimal and Zeeman couplings. Employing the low-energy effective Hamiltonian of WSMs, we reveal that the tilt of the Weyl cone is the key to triggering this effect. Notably, we find that the IMHE can survive even when the \textit{chiral anomaly} disappears because $\vectΩ^B$ (as the correction of the conventional Berry curvature) does not contribute to the monopole charge. Furthermore, we elucidate the interplay between minimal and Zeeman couplings for this effect. Finally, the experimental strategy to detect the IMHE is discussed.
