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arXiv · 0710.3222

Infrared catastrophe in two-quasiparticle collision integral

O. V. Dimitrova·V. E. Kravtsov
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Abstract

Relaxation of a non-equilibrium state in a disordered metal with a spin-dependent electron energy distribution is considered. The collision integral due to the electron-electron interaction is computed within the approximation of a two-quasiparticle scattering. We show that the spin-flip scattering processes with a small energy transfer may lead to the divergence of the collision integral for a quasi one-dimensional wire. This divergence is present only for a spin-dependent electron energy distribution which corresponds to the total electron spin magnetization M=0 and only for non-zero interaction in the triplet channel. In this case a non-perturbative treatment of the electron-electron interaction is needed to provide an effective infrared cut-off.

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O. V. Dimitrova, V. E. Kravtsov. 2007-10-17. Infrared catastrophe in two-quasiparticle collision integral. https://doi.org/10.1134/s0021364007230154

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