二维电子气中电子与圆盘的散射：全截面、输运截面和相互作用修正
Scattering of electron from a disk in 2D electron gas: full cross section, transport cross section, and the interaction correction
摘要：
众所周知，费米海的存在改变了电子从点状杂质的散射。这是由于杂质周围的电子密度的弗里德尔振荡。这些振荡为入射电子产生额外的散射电势。入射电子的能量越接近费米能级，附加散射越强。我们研究这种效果的情况下，当杂质不是点状的，而是一个硬盘，半径远大于德布罗意波长。我们从一个扩展目标的完整和传输截面的仔细检查开始。随着入射电子波矢的增加，两个截面都接近其极限值，我们确定输运截面饱和的速度比全截面快得多。关于相互作用的校正，我们建立，它消失的完整的截面，而运输截面，它是增强的情况下的点状散射体。
英文摘要：
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.
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