微波场在具有介观静态涡旋的受限二维电子气中感应的整流电压
Rectified voltage induced by a microwave field in a confined two-dimensional electron gas with a mesoscopic static vortex
摘要：
本文研究了微波场对具有费米波长绝缘区的二维电子气的影响。绝缘区域使电子波函数在该区域中消失。我们将绝热区描述为一个静态涡旋。涡流携带的通量是由绝缘区域导致的电子流体的电荷密度的消失所确定的。空穴的涡度符号与增加额外电子的涡度符号相反。涡量产生非对易的动力动量。二维电子气被描述为具有服从费米-狄拉克统计的密度的流体。禁闭势的存在引起经典转折点附近的动力学动量消失。结果，笛卡尔坐标不对易，并产生霍尔电流，在存在由微波场引起的修改的费米面的情况下，霍尔电流导致整流电压。使用玻色化配方的二维气体在绝缘区域的存在下，使我们能够计算整流电流。该理论可以解释J. Zhang等人最近报道的实验结果。
英文摘要：
We investigate the effect of a microwave field on a confined two dimensional electron gas which contains an insulating region comparable to the Fermi wavelength. The insulating region causes the electron wave function to vanish in that region. We describe the insulating region as a static vortex. The vortex carries a flux which is determined by vanishing of the charge density of the electronic fluid due to the insulating region. The sign of the vorticity for a hole is opposite to the vorticity for adding additional electrons. The vorticity gives rise to non-commuting kinetic momenta. The two dimensional electron gas is described as fluid with a density which obeys the Fermi-Dirac statistics. The presence of the confinement potential gives rise to vanishing kinetic momenta in the vicinity of the classical turning points. As a result, the Cartesian coordinate do not commute and gives rise to a Hall current which in the presence of a modified Fermi-Surface caused by the microwave field results in a rectified voltage. Using a Bosonized formulation of the two dimensional gas in the presence of insulating regions allows us to compute the rectified current. The proposed theory may explain the experimental results recently reported by J. Zhang et al.
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。
