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VOLUME 86 (2007) | ISSUE 10 | PAGE 762
Infrared catastrophe in two-quasiparticle collision integral
PACS: 71.23.An, 72.15.Rn, 72.25.Ba, 73.63.Nm
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 {\cal 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.