Nonlinear current response of an isolated system of interacting fermions
Strongly Correlated Electrons
2010-11-05 v1
Abstract
Nonlinear real-time response of interacting particles is studied on the example of a one-dimensional tight-binding model of spinless fermions driven by electric field. Using equations of motion and numerical methods we show that for a non-integrable case at finite temperatures the major effect of nonlinearity can be taken into account within the linear response formalism extended by a renormalization of the kinetic energy due to the Joule heating. On the other hand, integrable systems show on constant driving a different universality with a damped oscillating current whereby the frequency is related but not equal to the Bloch oscillations.
Keywords
Cite
@article{arxiv.1007.3383,
title = {Nonlinear current response of an isolated system of interacting fermions},
author = {Marcin Mierzejewski and Peter Prelovsek},
journal= {arXiv preprint arXiv:1007.3383},
year = {2010}
}