Relaxation of weakly interacting electrons in one dimension
arXiv:1301.3908 · doi:10.1103/PhysRevB.87.165108
Abstract
We consider the problem of relaxation in a one-dimensional system of interacting electrons. In the limit of weak interactions, we calculate the decay rate of a single-electron excitation, accounting for the nonlinear dispersion. The leading processes that determine the relaxation involve scattering of three particles. We elucidate how particular forms of Coulomb interaction, unscreened and screened, lead to different results for the decay rates and identify the dominant scattering processes responsible for relaxation of excitations of different energies. Interestingly, temperatures much smaller than the excitation energy strongly affect the rate. At higher temperatures the quasiparticle relaxes by exciting copropagating electron-hole pairs, whereas at lowest temperatures the relaxation proceeds via excitations of both copropagating and counterpropagating pairs.
5 pages, 2 figures
References in corpus (11)
- One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
- Many-body Effects in Angle-resolved Photoemission: Quasiparticle Energy and Lifetime of a Mo(110) Surface State
- Fermion-Boson Duality of One-dimensional Quantum Particles with Generalized Contact Interaction
- Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
- Spectral function of spinless fermions on a one-dimensional lattice
- Three-particle collisions in quantum wires: Corrections to thermopower and conductance
- Energy relaxation and thermalization of hot electrons in quantum wires
- Thermalization of acoustic excitations in a strongly interacting one-dimensional quantum liquid
- Thermalization of nonequilibrium electrons in quantum wires
- Equilibration of a spinless Luttinger liquid
- Equilibration of a one-dimensional Wigner crystal
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- Decay of Bogoliubov excitations in one-dimensional Bose gases
- Electrical and Thermal Transport in Inhomogeneous Luttinger Liquids
- Viscous Dissipation in One-Dimensional Quantum Liquids
- Kinetic Theory for Interacting Luttinger Liquids
- Spatial Dependence of Electron Interactions in Carbon Nanotubes
- Finite-temperature conductance of weakly interacting quantum wires with Rashba spin-orbit coupling
- Microscopic theory of the friction force exerted on a quantum impurity in one-dimensional quantum liquids
- Thermal conductivity of the degenerate one-dimensional Fermi gas
- Hot Electrons Regain Coherence in Semiconducting Nanowires
- Equilibration in a chiral Luttinger liquid
- Second sound in systems of one-dimensional fermions
- Hybrid sound modes in one-dimensional quantum liquids
- Entropy production in one-dimensional quantum fluids
- Propagation and attenuation of sound in one-dimensional quantum liquids
- Quasiparticle decay in a one-dimensional Bose-Fermi mixture
- Long lifetimes of ultra-hot particles in interacting Fermi systems
- Kinetic processes in Fermi-Luttinger liquids
- Sound in a system of chiral one-dimensional fermions
- Quasiparticle energy relaxation in a gas of one-dimensional fermions with Coulomb interaction