We investigate the effect of electron-electron interaction on the temperature dependence of the Hall coefficient of 2D electron gas at arbitrary relation between the temperature T and the elastic mean-free time τ. At small temperature Tτ≪ℏ we reproduce the known relation between the logarithmic temperature dependences of the Hall coefficient and of the longitudinal conductivity. At higher temperatures, this relation is violated quite rapidly; correction to the Hall coefficient becomes ∝1/T whereas the longitudinal conductivity becomes linear in temperature.
@article{arxiv.cond-mat/0107533,
title = {Interaction corrections to the Hall coefficient at intermediate temperatures},
author = {Gabor Zala and B. N. Narozhny and I. L. Aleiner},
journal= {arXiv preprint arXiv:cond-mat/0107533},
year = {2009}
}