Nonequilibrium kinetics of a disordered Luttinger liquid

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...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2009-03
Main Authors: Bagrets, D A, Gornyi, I V, Polyakov, D G
Format: Article
Language:English
Subjects:
Backscattering
Bias
Distribution functions
Electrons
Kinetic equations
Kinetic theory
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0809.3166