标题： 倾斜外尔/多外尔半金属的平面霍尔装置中的方向依赖电导率 显示英文标题

标题： Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals

摘要： 我们计算了平面霍尔设置中的磁电导张量，这些设置由倾斜的外尔半金属（WSMs）和多外尔半金属（mWSMs）构建，并考虑了所有可能的电磁场（$\mathbf E $和$\mathbf B $）方向与倾斜方向之间的相对取向。响应的非德鲁德部分来源于所考虑的WSM/mWSM节点附近非零的贝里曲率。只有在存在非零倾斜的情况下，我们才能在倾斜轴不垂直于由$\mathbf E $和$ \mathbf B $张成的平面的设置中找到线性于$ | \mathbf B| $的项。线性于$ | \mathbf B| $项出现的优势在于，与可以对实验观测产生贡献的各种$| \mathbf B|^2 $依赖项不同，它们具有纯粹的拓扑起源，并在实际参数范围内主导整体响应特性。 这些项的重要特征是：（1）当考虑它们依赖于 $\mathbf E $ 和 $\mathbf B $ 之间的角度 $\theta $ 时，它们会将响应的周期从 $\pi $ 改变为 $2\pi$；（2）当相对于 $\mathbf B =0$ 情况测量时，它们会导致电导率的整体符号变化，这取决于 $\theta$。 显示英文摘要

摘要： We compute the magnetoelectric conductivity tensors in planar Hall set-ups, which are built with tilted Weyl semimetals (WSMs) and multi-Weyl semimetals (mWSMs), considering all possible relative orientations of the electromagnetic fields ($\mathbf E $ and $\mathbf B $) and the direction of the tilt. The non-Drude part of the response arises from a nonzero Berry curvature in the vicinity of the WSM/mWSM node under consideration. Only in the presence of a nonzero tilt do we find linear-in-$ | \mathbf B| $ terms in set-ups where the tilt-axis is not perpendicular to the plane spanned by $\mathbf E $ and $ \mathbf B $. The advantage of the emergence of the linear-in-$ | \mathbf B| $ terms is that, unlike the various $| \mathbf B|^2 $-dependent terms that can contribute to experimental observations, they have purely a topological origin, and they dominate the overall response-characteristics in the realistic parameter regimes. The important signatures of these terms are that they (1) change the periodicity of the response from $\pi $ to $2\pi$, when we consider their dependence on the angle $\theta $ between $\mathbf E $ and $\mathbf B $; and (2) lead to an overall change in sign of the conductivity depending on $\theta$, when measured with respect to the $\mathbf B =0$ case.