Consistent hydrodynamic theory of chiral electrons in Weyl semimetals
Consistent hydrodynamic theory of chiral electrons in Weyl semimetals
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DOI：
10.1103/physrevb.97.121105
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发表时间：
2017-12
影响因子：
3.7
通讯作者：
E. V. Gorbar;V. A. Miransky;I. Shovkovy;P. Sukhachov
中科院分区：
文献类型：
--
作者：
E. V. Gorbar;V. A. Miransky;I. Shovkovy;P. Sukhachov
本文给出了外尔半金属中手征电子的完整的麦克斯韦方程组和流体力学方程组。欧拉方程的公式化考虑了离子晶格对伽利略不变性的显式破坏。的陈-西蒙斯（或Bardeen-Zumino）的电流和电荷密度的贡献也包括在流体动力学制度中的作用进行了讨论。这些拓扑贡献在麦克斯韦方程中起着至关重要的作用，提供了能量和动量的外尔节点分离的信息。另一方面，它们不直接影响电子流体的欧拉方程和能量守恒关系。利用所提出的自洽流体力学框架，我们证明了拓扑效应可以强烈地改变Weyl半金属中集体模的色散关系。这是反映，特别是，在存在独特的异常霍尔波是由本地异常霍尔电流持续。
The complete set of the Maxwell's and hydrodynamic equations for the chiral electrons in Weyl semimetals is presented. The formulation of the Euler equation takes into account the explicit breaking of the Galilean invariance by the ion lattice. The Chern-Simons (or Bardeen-Zumino) contributions to the electric current and charge densities are also included and their role in the hydrodynamic regime is discussed. These topological contributions play a crucial role in the Maxwell's equations by providing the information on the separation of Weyl nodes in energy and momentum. On the other hand, they do not directly affect the Euler equation and the energy conservation relation for the electron fluid. By making use of the proposed consistent hydrodynamic framework, we show that the topological effects can strongly modify the dispersion relations of collective modes in Weyl semimetals. This is reflected, in particular, in the existence of distinctive anomalous Hall waves which are sustained by the local anomalous Hall currents.