从QFT观点看二维材料中的半整数反常电流
Half-integer anomalous currents in 2D materials from a QFT viewpoint
摘要：
Dirac/Weyl半金属中的载流子表现出类似相对论的行为。在这项工作中，我们提出了一种新型的本征半整数量子霍尔效应的二维材料，从而也提供了一个拓扑保护机制的电流。它的存在根植于2D宇称异常，而不需要任何垂直的磁场。我们推测它可能发生在自旋简并和时间反演对称性都破缺的扰动蜂窝晶格中。这些配置具有两种不同的间隙打开机制，当同时发生时，在每个谷中驱动略微不同的间隙，当化学势被调谐到不同间隙之间时，导致净异常电导率。还列出了一些满足我们建议的先决条件的有前途的材料设置的例子，以激励在数值和实验水平上寻找效果。
英文摘要：
Charge carriers in Dirac/Weyl semi-metals exhibit a relativistic-like behavior. In this work we propose a novel type of intrinsic half-integer Quantum Hall effect in 2D materials, thereby also offering a topological protection mechanism for the current. Its existence is rooted in the 2D parity anomaly, without any need for a perpendicular magnetic field. We conjecture that it may occur in disturbed honeycomb lattices where both spin degeneracy and time reversal symmetry are broken. These configurations harbor two distinct gap-opening mechanisms that, when occurring simultaneously, drive slightly different gaps in each valley, causing a net anomalous conductivity when the chemical potential is tuned to be between the distinct gaps. Some examples of promising material setups that fulfill the prerequisites of our proposal are also listed to motivate looking for the effect at the numerical and experimental level.
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