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arXiv · 2007.08905

Electron-Electron Scattering and Resistivity in Non-Centrosymmetric Metals

V. P. Mineev
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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.

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V. P. Mineev. 2020-11-25. Electron-Electron Scattering and Resistivity in Non-Centrosymmetric Metals. https://doi.org/10.1134/s1063776121030067

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