Quasiparticle energy relaxation in a gas of one-dimensional fermions with Coulomb interaction

Abstract

We consider a system of charged one-dimensional spin-$\frac{1}{2}$ 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.

References in corpus (8)

• Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
• Three-particle collisions in quantum wires: Corrections to thermopower and conductance
• Energy relaxation and thermalization of hot electrons in quantum wires
• Relaxation in Luttinger liquids: Bose-Fermi duality
• Relaxation of weakly interacting electrons in one dimension
• Equilibration in a chiral Luttinger liquid
• Relaxation of the degenerate one-dimensional Fermi gas
• Kinetic processes in Fermi-Luttinger liquids

Cited by in corpus (2)

• Splitting of Fermi point of strongly interacting electrons in one dimension: A nonlinear effect of spin-charge separation
• Extended quasiparticle Padé approximation for non-Fermi liquids