The conducting properties of various finite graphene ribbons and their junctions are investigated. These were found to depend strongly on their size and geometric features. Small arm-chair ribbons, when connected through tapered geometries, are found to exhibit very narrow conducting windows. No conductance is found through small armchair zigzag armchair ribbon junctions when connected via pentagon-heptagon defect lines. However, the conducting windows become broader as the size of the ribbons increases.
REFERENCES
After the preparation of the manuscript we became aware of a just published paper reporting the length dependence on the energy gap of straight armchair graphene ribbons of uniform width (Ref. 17). Their results are in agreement with our results showing length dependence on conducting properties shown in Fig. 3 for straight armchair ribbons.
