Transport anomaly at the ordering transition for adatoms on graphene

Abstract

We analyze a manifestation of the partial ordering transition of adatoms on graphene in resistivity measurements. We find that the Kekul\'e mosaic ordering of adatoms increases the sheet resistance of graphene due to a gap opening in its spectrum and that critical fluctuations of the order parameter lead to a nonmonotonic temperature dependence of resistivity with a cusp-like minimum at $T={T}_{c}$.