Non-equilibrium dynamics of the driven Hubbard model
Strongly Correlated Electrons
2013-05-30 v4 Statistical Mechanics
Abstract
We investigate the dynamics of a two-dimensional Hubbard model in a static electric field in order to identify the conditions to reach a non-equilibrium stationary state. For a generic electric field, the convergence to a stationary state requires the coupling to a thermostating bath absorbing the work done by the external force. Following the real-time dynamics of the system, we show that a non-equilibrium stationary state is reached for essentially any value of the coupling to the bath. We map out a phase diagram in terms of dissipation and electric field strengths and identify the dissipation values in which steady current is largest for a given field.
Keywords
Cite
@article{arxiv.1106.3483,
title = {Non-equilibrium dynamics of the driven Hubbard model},
author = {A. Amaricci and C. Weber and M. Capone and G. Kotliar},
journal= {arXiv preprint arXiv:1106.3483},
year = {2013}
}
Comments
6 pages, 6 figures