Double quantum dot systems in the spin blockade regime exhibit leakage currents that have been attributed to the Hyperfine interaction. We model weakly coupled double-dot transport using a rate equation approach which accounts for Hyperfine flip-flop transitions. The rate equations allow us to obtain self-consistently the time evolution for electronic charge occupations and for the nuclei polarizations in each dot. We analyze the current in the spin blockade region as a function of magnetic field and observe hysteretic behavior for fields corresponding to the crossing between triplet and singlet states.
@article{arxiv.0712.4080,
title = {Hysteretic behavior in weakly coupled double-dot transport in the spin blockade regime},
author = {J. Inarrea and C. Lopez-Monis and A. H. MacDonald and G. Platero},
journal= {arXiv preprint arXiv:0712.4080},
year = {2009}
}