论文标题
从2D电子气体中的磁盘散射电子：完整的横截面，传输横截面和相互作用校正
Scattering of electron from a disk in 2D electron gas: full cross section, transport cross section, and the interaction correction
论文作者
论文摘要
众所周知，费米海的存在会改变电子杂质中电子的散射。这是由于杂质周围电子密度的弗里德尔振荡所致。这些振荡为入射电子产生了额外的散射潜力。入射电子的能量越接近费米水平，额外的散射越强。当杂质不是点状的，而是硬盘，半径比de Broglie波长大得多，我们研究了这种效果。我们首先要仔细检查扩展目标的完整和运输横截面。两个横截面在增加入射电子的波矢量时接近其限制值。我们确定运输横截面的饱和速度比完整的横截面更快。关于相互作用校正，我们确定它在整个横截面上消失了，而对于运输横截面，与点状散射器相比，它的增强是增强的。
It is known that the presence of the Fermi sea modifies the scattering of an electron from a point-like impurity. This is due to the Friedel oscillations of the electron density around the impurity. These oscillations create an additional scattering potential for incident electrons. The closer the energy of the incident electron to the Fermi level, the stronger the additional scattering. We study this effect for the case when the impurity is not point-like but rather a hard disk, with a radius much bigger than the de Broglie wavelength. We start with a careful examination of the full and transport cross sections from an extended target. Both cross sections approach their limiting values upon increasing the wave vector of the incident electron. We establish that the transport cross section saturates much faster than the full cross section. With regard to the interaction correction, we establish that it vanishes for the full cross section, while for the transport cross section, it is enhanced compared to the case of a point-like scatterer.
