论文标题
（Quasi）在两个和三个维度中对电气，热和热电导率的量化
(Quasi-)Quantization of the electrical, thermal, and thermoelectrical conductivities in two and three dimensions
论文作者
论文摘要
2D电子系统中的量子厅效应表示拓扑不变，导致量化的电导率。据报道，在特定系统中也量化了二维的热霍尔和热电Nernst电导。但是，到目前为止，对量子厅系统的一种形式主义中的这些数量进行了全面研究。在这项工作中，我们在2D和3D中在分析和数值上研究大厅，热厅和Nernst效果。除了在两个维度上的大厅和热厅电导的量化值外，我们还发现了三个维度的准定量值，这是由特征长度缩放的相关2D量子。 Nern的电导率通常不进行量化。取而代之的是，需要进行能量的集成才能获得普遍（准）量化热电量。
The quantum Hall effect in a 2D electron system expresses a topological invariant, leading to a quantized conductivity. The thermal Hall and thermoelectric Nernst conductances in two dimensions are also reported to be quantized in specific systems. However, a comprehensive study of these quantities within one formalism for quantum Hall systems is so far elusive. In this work, we investigate the Hall, thermal Hall, and Nernst effects analytically and numerically in 2D and 3D. In addition to the quantized values for the Hall and thermal Hall conductances in two dimensions, we also find quasi-quantized values in three dimensions, which are the related 2D quanta scaled by a characteristic length. The Nernst conductivity is not generally quantized. Instead, an integration in energy is required to obtain a universally (quasi-)quantized thermoelectric quantity.
