周期磁场中的手征二维电子气
Chiral two-dimensional electron gas in a periodic magnetic field
摘要：
本文研究了三角格子对称的零平均周期磁场中二维电子气的能谱和电子性质。我们证明了电子能带的结构如何随着场强的变化而改变，从而我们可以从接近自由电子气开始，然后将其连续地转变为基本上局域化的手征电子态系统。我们发现，电子附近的一些有效电位的最小值是负责发生无耗散持续电流创建一个晶格的电流轮廓。电子能带的拓扑性质也随周期场强度的变化而变化。我们计算了几个低能带的拓扑Chern数作为场的函数。相应的霍尔电导率是非零的，当费米能级位于间隙中时，它是量子化的。
英文摘要：
We study the energy spectrum and electronic properties of two-dimensional electron gas in a periodic magnetic field of zero average with a symmetry of triangular lattice. We demonstrate how the structure of electron energy bands can be changed with the variation of the field strength, so that we can start from nearly free electron gas and then transform it continuously to a system of essentially localized chiral electron states. We find that the electrons near some minima of the effective potential are responsible for occurrence of dissipationless persistent currents creating a lattice of current contours. The topological properties of the electron energy bands are also varied with the intensity of periodic field. We calculated the topological Chern numbers of several lower energy bands as a function of the field. The corresponding Hall conductivity is nonzero and, when the Fermi level lies in the gap, it is quantized.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
