Equilibration of a spinless Luttinger liquid
arXiv:1107.4116 · doi:10.1103/PhysRevB.85.041102
Abstract
We study how a Luttinger liquid of spinless particles in one dimension approaches thermal equilibrium. Full equilibration requires processes of backscattering of excitations which occur at energies of order of the bandwidth. Such processes are not accounted for by the Luttinger liquid theory. We treat the high-energy excitations as mobile impurities and derive an expression for the equilibration rate in terms of their spectrum. Our results apply at any interaction strength.
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Cited by in corpus (22)
- One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
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- Breakdown of Diffusion on the Edge
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- Electrical and Thermal Transport in Inhomogeneous Luttinger Liquids
- Thermal Transport in One Dimensional Electronic Fluid
- Thermal conductivity of the degenerate one-dimensional Fermi gas
- Fate of classical solitons in one-dimensional quantum systems
- Interaction-induced backscattering in short quantum wires
- Two-fluid dynamics of one-dimensional quantum liquids in the absence of Galilean invariance
- Second sound in systems of one-dimensional fermions
- Hybrid sound modes in one-dimensional quantum liquids
- Nonlinear conductance of long quantum wires at a conductance plateau transition: Where does the voltage drop?
- Equilibration of a one-dimensional quantum liquid
- Entropy production in one-dimensional quantum fluids
- Anomalous Hydrodynamics in One Dimensional Electronic Fluid
- Solitons in a one-dimensional Wigner crystal
- Scattering of charge and spin excitations and equilibration of a one-dimensional Wigner crystal
- Mobile impurities in integrable models
- Rate of equilibration of a one-dimensional Wigner crystal
- Sound in a system of chiral one-dimensional fermions
- Brownian scattering of a spinon in a Luttinger liquid