Electronic and transport properties of perfectsp2-bonded amorphous graphitic carbon

The electronic and transport properties of a perfect amorphous graphitic carbon model constructed by Townsend et al. [Phys. Rev. Lett. 69, 921 (1992)] are studied by first-principles calculations within the local-density approximation. It is shown that such a random system with two-dimensional interaction in a three-dimensional structure is a high-resistivity metal. A zero-temperature resistivity of about 1160 μΩ cm and a positive thermopower at low temperature are obtained. Localized states near the Fermi level are induced by subtle difference in the π bonding of different ring structures. Relaxation time due to elastic electron-electron scattering and the Fermi velocity are estimated to be 2.4×${10}^{\mathrm{-}15}$ s and 2.61×${10}^4$ m/s, respectively.