Abstract

The quadratic low-temperature dependence of resistance in ordinary metals is determined by the momentum relaxation due to electron–electron scattering in the presence Umklapp processes and scattering on impurities. In metals without inversion center spin–orbit interaction of electrons with crystal lattice lifts spin degeneracy of electron states and splits each band on two bands. The temperature dependence of electron–electron collisions scattering rate is found using the matrix kinetic equation including the electron-impurity and electron–electron intra and inter band scattering. It is shown that in clean enough case when the energy of band splitting exceeds the electron-impurity scattering rate but at the same time it is much smaller than the Fermi energy the square low-temperature dependence of resistivity is still valid.

中文翻译：

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非中心对称金属中的电子-电子散射和电阻率

摘要

普通金属中电阻的二次方低温依赖性取决于存在Umklapp过程中电子和电子的散射以及杂质上的散射引起的动量松弛。在没有反转的金属中，电子与晶格的自旋-轨道相互作用提升了电子态的自旋简并性，并将每个能带分裂成两个能带。利用包括电子杂质和电子-电子带内和带间散射在内的矩阵动力学方程，可以发现电子-电子碰撞散射速率的温度依赖性。结果表明，在足够干净的情况下，当能带分裂的能量超过电子杂质的散射速率，但远小于费米能量时，电阻率的平方低温依存性仍然有效。