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arXiv 2104.10059cond-mat.mes-hall
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外尔金属中的手征反常:零磁场下的非平衡谷极化

Chiral Anomaly Trapped in Weyl Metals: Nonequilibrium Valley Polarization at Zero Magnetic Field

Pablo M. Perez-Piskunow, Nicandro Bovenzi, Anton R. Akhmerov, Maxim Breitkreiz

摘要:

在外尔半金属中,平行电场和磁场的应用导致谷极化--相反手征性谷的占据不平衡--手征异常的直接后果。在这项工作中,我们提出的数值工具,探索在空间受限的三维系统中的非平衡效应与一个变量的无序势,给出精确的解决方案,以领先的顺序在无序势和所施加的电场。外尔金属板的应用表明,谷极化也发生在没有外部磁场作为手征异常“捕获”的影响:空间限制产生手征体状态,这使得谷极化以类似的方式作为由磁场引起的手征状态。尽管它的有限尺寸的起源,谷极化可以持续到宏观长度尺度,如果无序势是足够长的范围内,使直接谷间散射被抑制,然后通过费米弧表面状态的松弛。

英文摘要:

In Weyl semimetals the application of parallel electric and magnetic fields leads to valley polarization -- an occupation disbalance of valleys of opposite chirality -- a direct consequence of the chiral anomaly. In this work, we present numerical tools to explore such nonequilibrium effects in spatially confined three-dimensional systems with a variable disorder potential, giving exact solutions to leading order in the disorder potential and the applied electric field. Application to a Weyl-metal slab shows that valley polarization also occurs without an external magnetic field as an effect of chiral anomaly "trapping": Spatial confinement produces chiral bulk states, which enable the valley polarization in a similar way as the chiral states induced by a magnetic field. Despite its finite-size origin, the valley polarization can persist up to macroscopic length scales if the disorder potential is sufficiently long ranged, so that direct inter-valley scattering is suppressed and the relaxation then goes via the Fermi-arc surface states.

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