Infrared catastrophe in a two-quasiparticle collision integral |
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Authors: | O V Dimitrova V E Kravtsov |
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Institution: | 1.Landau Institute for Theoretical Physics,Russian Academy of Sciences,Moscow,Russia;2.The Abdus Salam International Centre for Theoretical Physics,Trieste,Italy |
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Abstract: | Relaxation of a nonequilibrium 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. It is shown 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 that corresponds to the total electron spin magnetization M = 0 and only for nonzero interaction in the triplet channel. In this case, a nonperturbative treatment of the electron-electron
interaction is needed to provide an effective infrared cutoff. |
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