Nonequilibrium kinetics of a disordered Luttinger liquid

Details Nonequilibrium kinetics of a disordered Luttinger liquid Nonequilibrium kinetics of a disordered Luttinger liquid

2008-09-18

arxiv.org/abs/0809.3166v2

Phys. Rev. B, vol. 80, 113403 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures, revised version

Scientific paper

10.1103/PhysRevB.80.113403

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.

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