Characterizing wave functions in graphene nanodevices: Electronic transport through ultrashort graphene constrictions on a boron nitride substrate

The nature of localized edge states in edge-disordered graphene nanoconstrictions connected to external leads is studied. Contrary to the general belief, the results show that the localization length is significantly longer than the size of the nanoconstriction, which results into charge spill over into the bulk as well.