论文标题
在量子点涡流产生的Chern-Simons量规场的影响下，二维电子孔系统
Two-dimensional electron-hole system under the influence of the Chern-Simons gauge field created by the quantum point vortices
论文作者
论文摘要
在目前的工作中，由Jackiw和Pi [1]开发的Chern-Simons（C-S）规格场理论，并广泛用于解释分数量子厅的效应，用于在强量孔磁场中描述在量子上的量子磁场强的二维（2D）电子（E-H）系统，该系统在量子量的强度磁场的影响下创建Chern-Simons（C-Simons），从而产生Chern-Simons（C-Simons）（C-Simons）（C-Simons）（C-Simons）（C-Simons）（C-Simons）（C-Simons）（C-Simons）（C-Simons）。由电子形成的复合粒子和相等数量的孔数的孔形成，由穿着的田间操作员描述，这些量子涡流符合Fermi或Bose统计数据，具体取决于偶数或奇数。结果表明，相位算子以及矢量和标量电位的标势取决于电子和孔密度算子的差异。当电子的平均值和整个密度重合时，它们在平均场近似中消失。然而，即使在这种情况下，C-S量规场的量子波动也导致了2D E-H系统的新物理。
In the present work the Chern-Simons(C-S) gauge field theory developed by Jackiw and Pi [1] and widely used to explain the fractional quantum Hall effects, was applied to describe the two-dimensional (2D) electron-hole (e-h) system in a strong perpendicular magnetic field under the influence of the quantum point vortices creating the Chern-Simons(C-S) gauge field. The composite particles formed by electrons and by holes with equal integer positive numbers of the attached quantum point vortices are described by the dressed field operators, which obey to the Fermi or to the Bose statistics depending on the even or odd numbers . It is shown that the phase operators as well as the vector and the scalar potentials of the C-S gauge field depend on the difference of the electron and of the hole density operators. They vanish in the mean field approximation, when the average values of the electron and of the whole densities coincide. Nevertheless, even in this case, the quantum fluctuations of the C-S gauge field lead to new physics of the 2D e-h system.
