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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2007, Volume 86, Issue 10, Pages 762–768
(Mi jetpl922)
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This article is cited in 10 scientific papers (total in 10 papers)
CONDENSED MATTER
Infrared catastrophe in two-quasiparticle collision integral
O. V. Dimitrovaab, V. E. Kravtsovab a L. D. Landau Institute for Theoretical Physics RAS
b The Abdus Salam International Centre for Theoretical Physics, P.O.B. 586, 34100 Trieste, Italy
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 $\mathcal M=0$ 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.
Received: 18.10.2007
Citation:
O. V. Dimitrova, V. E. Kravtsov, “Infrared catastrophe in two-quasiparticle collision integral”, Pis'ma v Zh. Èksper. Teoret. Fiz., 86:10 (2007), 762–768; JETP Letters, 86:10 (2007), 670–676
Linking options:
https://www.mathnet.ru/eng/jetpl922 https://www.mathnet.ru/eng/jetpl/v86/i10/p762
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Abstract page: | 215 | Full-text PDF : | 65 | References: | 45 |
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