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Quasiparticle Energy Relaxation in a Gas of One-Dimensional Fermions with Coulomb Interaction
Zoran Ristivojevic1, K A Matveev2
1Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, 31062 Toulouse, France.
Abstract:
We consider a system of charged one-dimensional spin-1/2 fermions at low temperature. We study how the energy of a highly excited quasiparticle (or hole) relaxes toward the chemical potential in the regime of weak interactions. The dominant relaxation processes involve collisions with two other fermions. We find a dramatic enhancement of the relaxation rate at low energies, with the rate scaling as the inverse sixth power of the excitation energy. This behavior is caused by the long-range nature of the Coulomb interaction.
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