Researchers from the Max Planck Society are researching how a graphene nanowire conducts electricity. They discovered that electrons are tunneling through the graphene wire - by means of a quantum mechanical process. The researchers used a scanning tunneling microscope to perform complicated measurements to determine how the conductance of the carbon strip depends on its length and the energy of the electrons.
The researchers say that those graphene wires (or nanoribbons) are interesting research objects, but aren't very useful for nanoelectronics applications. At least not yet.