A structure, method of manufacturing a structure, and methods of using a structure including a graphene sheet is disclosed. According to one aspect, the grapheme sheet is provided, on one of the faces of the structure, with a plurality of metal pins. The metal pins being separated from one another by a dielectric medium chosen from air and dielectric materials. The method including the steps of synthesizing, by vapor phase catalytic growth, the graphene sheet on a plurality of metal pins that are disposed on a membrane made from dielectric material or integrated in the membrane. The growth being catalyzed by the metal pins. According to some aspects, the membrane is removed from the structure. The structure may be used, for example, in the fields of micro- and nanoelectronics, micro- and nanoelectronic engineering, spintronics, photovoltaics, light emitting diode display, or the like.