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            <funder>AcknowledgementsWe thank C. Delerue, D. Stiévenard and L. Wirtz for fruitful discussions. This study was financially supported by the European Community's Seventh Framework Program (Grant No. PITN-GA-2012-316751, “Nanoembrace” Project), the EQUIPEX program Excelsior (Grant No. ANR-11-EQPX-0015), and the RENATECH network. T. Xu acknowledges the supports of the National Natural Science Foundation of China (Grant No. 61775130) and of the Region Nord-Pas-de-Calais (Grant No. 2013_11806). J. Xu acknowledges the financial support of the University of Lille.</funder>
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              <p>Understanding the fundamental properties of graphene when its topography is patterned by the use of a compliant substrate is essential to improve the performances of graphene sensors. Here we suspend a graphene monolayer on SiO2 nanopillar arrays to form a puckered graphene-on-lattice and investigate the strain and electrical transport at the nanoscale. Despite a nonuniform strain in the graphene-on-lattice, the resistivity is governed by thermally activated transport and not the strain. We show that the high thermal activation energy results from a low charge carrier density and a periodic change of the chemical potential induced by the interaction of the graphene monolayer with the nanopillars, making the use of graphene-on-lattice attractive to further increase the electrical response of graphene sensors.</p>
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