Oscillating charge currents of one-dimensional Hubbard model in an electric field
Strongly Correlated Electrons
2022-07-04 v2
Abstract
The time evolution properties of charge current for the one-dimensional Hubbard model in an electric field have been studied in a rigorous manner. We find that there is a complete and orthonormal set of time-evolution states for which the charge current can only keep zero or oscillate constantly, differing from the possible picture of damped or over-damped Bloch oscillations due to strong correlations. It is also found that, associated with these states, there is a set of constant phase factors, which are uniquely determined and are very useful on discussing the long-time evolution behaviors of the system.
Keywords
Cite
@article{arxiv.2011.07220,
title = {Oscillating charge currents of one-dimensional Hubbard model in an electric field},
author = {Yong Zheng},
journal= {arXiv preprint arXiv:2011.07220},
year = {2022}
}
Comments
This paper needs to be revised, so we need to withdraw it, until the revised version is officially published