▎ 摘　　要

Graphene nanostructures are analyzed in the framework of the modern theory of conductivity (Resta in J Chem Phys 124:104104, 2006), and the metallic character of the systems is analyzed and discussed. The electronic wavefunction is studied by using a tight-binding approximation. In particular, we focus our attention on nanostructures having hexagonal shapes and D (2h) symmetry. Band structure, specific (i.e., per-atom) polarizability and localizability (or localization tensor) have been numerically computed for several structures. The different behavior of the three parameters, is analyzed, as well as their usefulness in assesing the metal character of a system. A special emphasis is devoted to the discussion of the rather surprising behavior of the specific polarizability.