Nonequilibrium kinetics of a disordered Luttinger liquid

Abstract

We develop a kinetic theory for strongly correlated disordered one-dimensional electron systems out of equilibrium, within the Luttinger liquid model. In the absence of inhomogeneities, the model exhibits no relaxation to equilibrium. We derive kinetic equations for electron and plasmon distribution functions in the presence of impurities and calculate the equilibration rate ${\gamma }_E$. Remarkably, for not too low temperature and bias voltage, ${\gamma }_E$ is given by the elastic backscattering rate, independent of the strength of electron-electron interaction, temperature, and bias.

4 pages, 3 figures, revised version

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Cited by in corpus (13)

• Bosonization of one dimensional fermions out of equilibrium
• Coulomb interaction in graphene: Relaxation rates and transport
• Non-equilibrium Tunneling Spectroscopy in Carbon Nanotubes
• Backscattering Between Helical Edge States via Dynamic Nuclear Polarization
• Energy relaxation and thermalization of hot electrons in quantum wires
• Thermalization of nonequilibrium electrons in quantum wires
• Tunneling into Nonequilibrium Luttinger Liquid with Impurity
• Tunable non-equilibrium Luttinger liquid based on counter-propagating edge channels
• Nonequilibrium electron spectroscopy of Luttinger liquids
• Energy Partitioning of Tunneling Currents into Luttinger Liquids
• Microwave-induced nonequilibrium temperature in a suspended carbon nanotube
• Interplay of quantum spin Hall effect and spontaneous time-reversal symmetry breaking in electron-hole bilayers I: Transport properties
• Kinetic processes in Fermi-Luttinger liquids