Computational analysis method of local electrical conductive property in nano-size materials

Two new local conductance quantities are studied. The ordinary global conductance may not be appropriate for the study of nanosize materials, while our new local conductance quantities have an advantage for the study of these materials. Graphene is chosen as a nano-material example for our study since graphene has a simple conduction property. The integrated value of our local conductances are compared to the conductance of the Landauer formula. The local conductances in various local regions in graphene sheet are studied, and it is demonstrated that our local conductances have good properties for the analysis of nanosize materials.