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Electron-electron scattering and conductivity of disordered systems with a Galilean-invariant spectrum
Physical Review B ( IF 3.7 ) Pub Date : 2022-08-16 , DOI: 10.1103/physrevb.106.085411
K. E. Nagaev

The electron-electron scattering does not affect the electrical current in Galilean-invariant systems. We show that, nevertheless, electron-electron collisions may contribute to the electric resistivity of systems with parabolic spectrum provided that they have multiply connected Fermi surfaces, and there is an additional mechanism of scattering. To this end, we calculate the resistivity of a two-dimensional electron gas with two filled transverse subbands in a presence of electron-electron and impurity scattering. Although the collisions between the electrons do not directly affect the current in such systems, they cause a redistribution of the electrons between the Fermi contours, which results in a noticeable change in resistivity for realistic mechanisms of impurity scattering.

中文翻译:

伽利略不变谱无序系统的电子-电子散射和电导率

电子-电子散射不影响伽利略不变系统中的电流。我们表明,尽管如此,电子 - 电子碰撞可能有助于具有抛物线谱的系统的电阻率,前提是它们具有多重连接的费米表面,并且存在额外的散射机制。为此,我们计算了在存在电子 - 电子和杂质散射的情况下具有两个填充横向子带的二维电子气的电阻率。尽管电子之间的碰撞不会直接影响此类系统中的电流,但它们会导致费米轮廓之间的电子重新分布,从而导致实际杂质散射机制的电阻率发生显着变化。
更新日期:2022-08-16
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