Thermal transport and quench relaxation in nonlinear Luttinger liquids
arXiv:1312.6855 · doi:10.1103/PhysRevB.88.045435
Abstract
One-dimensional electrons with a linearized dispersion relation are equivalent to a collection of harmonic plasmon modes, which represent long wavelength density oscillations. An immediate consequence of this Luttinger model of one-dimensional electron systems is the absence of inelastic scattering processes responsible for the relaxation of nonequilibrium states. In a generic nonlinear Luttinger liquid plasmons may decay and thus acquire a finite lifetime. We show that equilibration of plasmons is hierarchical and has profound implications for the dynamics after a thermal quench. We also develop a thermal transport theory and compute thermal conductance of the nonlinear Luttinger liquid by treating the collision integral of plasmons in a manifestly nonperturbative way.
5 pages
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Cited by in corpus (8)
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- Decay of plasmonic waves in Josephson junction chains
- Equilibration in a chiral Luttinger liquid
- Scattering of charge and spin excitations and equilibration of a one-dimensional Wigner crystal
- Plasmon decay and thermal transport from spin-charge coupling in generic Luttinger liquids
- Kinetic processes in Fermi-Luttinger liquids
- Long lifetimes of ultra-hot particles in interacting Fermi systems