Transport properties of normal metal–graphene nanoribbon–normal metal junctions

Transport properties are investigated theoretically for the junctions consisting of two normal metals and a graphene nanoribbon which has zigzag shaped edges with the electron hopping weaker than that in the other region. We find that the conductance of the present model has the same asymptotic behavior for NL⪢1NL⪢1 as that with the spatially uniform hopping in the N≥3N≥3 case, where NLNL and N   are integers corresponding to length and width, respectively. The result seems to indicate that the zigzag edges do not contribute to the transport properties in the case with NL⪢1NL⪢1.