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arXiv 1306.1234cond-mat.str-elcond-mat.mes-hall
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三维拓扑半金属中非局域输运手征反常的探讨

Probing the chiral anomaly with nonlocal transport in three dimensional topological semimetals

S. A. Parameswaran, T. Grover, D. A. Abanin, D. A. Pesin, A. Vishwanath

摘要:

外尔半金属是三维晶体系统,其中成对的带在动量空间中的点接触,称为外尔节点,其特征在于明确的拓扑电荷:手性。因此,它们表现出阿德勒-贝尔-杰克夫异常,在这种凝聚态物质实现中,这意味着平行电场($\mathbf{E}$)和磁场($\mathbf{B}$)的应用以与$\mathbf{E}\cdot\mathbf{B}$成比例的速率在相反手性的节点之间泵送电子。我们认为,这种泵浦是可测量的,通过非本地传输实验,在弱的节间散射的限制。具体来说,我们表明,作为异常的后果,施加一个本地磁场平行于注入电流诱导的山谷不平衡,扩散了很长的距离。探针磁场然后可以将这种不平衡转换为远离源极和漏极的可测量的电压降。当注入电流和磁场正交时,这种非局域输运消失,因此可以作为手征异常的检验。我们进一步证明,一个类似的效果也应该表征狄拉克半金属-最近报道已在实验中观察到-其中一对Weyl节点共存于一个单一的点在布里渊区的晶体对称性的保护。由于节点类似于半导体中的谷自由度,这表明可以使用电场来控制三维拓扑半金属中的谷电流,这具有潜在的实际“谷电子”应用。

英文摘要:

Weyl semimetals are three-dimensional crystalline systems where pairs of bands touch at points in momentum space, termed Weyl nodes, that are characterized by a definite topological charge: the chirality. Consequently, they exhibit the Adler-Bell-Jackiw anomaly, which in this condensed matter realization implies that application of parallel electric ($\mathbf{E}$) and magnetic ($\mathbf{B}$) fields pumps electrons between nodes of opposite chirality at a rate proportional to $\mathbf{E}\cdot\mathbf{B}$. We argue that this pumping is measurable via nonlocal transport experiments, in the limit of weak internode scattering. Specifically, we show that as a consequence of the anomaly, applying a local magnetic field parallel to an injected current induces a valley imbalance that diffuses over long distances. A probe magnetic field can then convert this imbalance into a measurable voltage drop far from source and drain. Such nonlocal transport vanishes when the injected current and magnetic field are orthogonal, and therefore serves as a test of the chiral anomaly. We further demonstrate that a similar effect should also characterize Dirac semimetals --- recently reported to have been observed in experiments --- where a pair of Weyl nodes coexisting at a single point in the Brillouin zone are protected by a crystal symmetry. Since the nodes are analogous to valley degrees of freedom in semiconductors, this suggests that valley currents in three dimensional topological semimetals can be controlled using electric fields, which has potential practical `valleytronic' applications.

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