论文标题
3D拓扑结节线半光的量化霍尔电导，而无需手性对称性
Quantized Hall conductance in 3D topological nodal-line semimetals without chiral symmetry
论文作者
论文摘要
在三个维度上搜索了三个维度的量化霍尔电导（非电导率）超过30年。在这里，我们通过使用能够描述半学的所有基本物理的模型，尤其是受动量依赖性绕组数量保护的鼓头表面状态，在3D拓扑结构半学中探索它。我们开发了一种微观理论，以证明鼓头状态可以在该3D材料中托管量化的霍尔电导。我们强调的是，打破手性对称性对于鼓头表面状态的量子霍尔效应是必需的。分析理论可以通过Kubo公式进行数值验证。批量状态也可能产生微不足道的量子厅效应。我们提出了一个实验设置，以区分表面和散装量子厅效应。该理论将对持续的节点线半法进行探索。
A quantized Hall conductance (not conductivity) in three dimensions has been searched for more than 30 years. Here we explore it in 3D topological nodal-line semimetals, by using a model capable of describing all essential physics of a semimetal, in particular the drumhead surface states protected by a momentum-dependent winding number. We develop a microscopic theory to demonstrate that the drumhead surface states can host quantized Hall conductance in this 3D material. We stress that breaking chiral symmetry is necessary for the quantum Hall effect of the drumhead surface states. The analytic theory can be verified numerically by the Kubo formula. There may also be trivial quantum Hall effects from the bulk states. We propose an experimental setup to distinguish the surface and bulk quantum Hall effects. The theory will be useful for ongoing explorations on nodal-line semimetals.
