Topological response in Weyl semimetals and the chiral anomaly
Topological response in Weyl semimetals and the chiral anomaly
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DOI：
10.1103/physrevb.86.115133
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发表时间：
2012-06
影响因子：
3.7
通讯作者：
A. Zyuzin;A. Burkov
中科院分区：
文献类型：
--
作者：
A. Zyuzin;A. Burkov
我们证明了Weyl半金属的拓扑输运现象，即半量子化反常霍尔效应和手征磁效应(平衡磁场驱动电流)，可以被认为是同一基本现象手征反常的两种不同的表现形式。我们证明了Weyl半金属中的拓扑响应完全由电磁场作用中的数学项来描述，其中数学项不是一个常数，例如，在拓扑绝缘体中，而是一个场，它与时空坐标成线性关系。我们还证明了在足够弱的平移对称破缺微扰下，数学项和相应的拓扑响应仍然存在，这在Weyl半金属的光谱中打开了一个缺口，消除了Weyl节点。
We demonstrate that topological transport phenomena, characteristic of Weyl semimetals, namely the semiquantized anomalous Hall effect and the chiral magnetic effect (equilibrium magnetic-field-driven current), may be thought of as two distinct manifestations of the same underlying phenomenon, the chiral anomaly. We show that the topological response in Weyl semimetals is fully described by a $\ensuremath{\theta}$ term in the action for the electromagnetic field, where $\ensuremath{\theta}$ is not a constant parameter, like, for example, in topological insulators, but is a field, which has a linear dependence on the space-time coordinates. We also show that the $\ensuremath{\theta}$ term and the corresponding topological response survive for sufficiently weak translational symmetry breaking perturbations, which open a gap in the spectrum of the Weyl semimetal, eliminating the Weyl nodes.