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The quantum localization in the quantum Hall regime is revisited usingGraphene monolayers with accurate measurements of the longitudinal resistivityas a function of temperature and current. We experimentally show for the firsttime a cross-over from Efros-Shklovskii Variable Range Hopping (VRH) conductionregime with Coulomb interactions to a Mott VRH regime without interaction. Thisoccurs at Hall plateau transitions for localization lengths larger than theinteraction screening length set by the nearby gate. Measurements of thescaling exponents of the conductance peak widths with both temperature andcurrent give the first validation of the Polyakov-Shklovskii scenario that VRHalone is sufficient to describe conductance in the Quantum Hall regime and thatthe usual assumption of a metallic conduction regime on conductance peaks isunnecessary.

Unveiling quantum Hall transport by Efros-Shklovskii to Mott variable range hopping transition with Graphene