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      A novel conductivity mechanism of highly disordered carbon systems based on an investigation of graph zeta function

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          Abstract

          In the previous report [Phys. Rev. B {\bf{62}} 13812 (2000)], by proposing the mechanism under which electric conductivity is caused by the activational hopping conduction with the Wigner surmise of the level statistics, the temperature-dependent of electronic conductivity of a highly disordered carbon system was evaluated including apparent metal-insulator transition. Since the system consists of small pieces of graphite, it was assumed that the reason why the level statistics appears is due to the behavior of the quantum chaos in each granular graphite. In this article, we revise the assumption and show another origin of the Wigner surmise, which is more natural for the carbon system based on a recent investigation of graph zeta function in graph theory.

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          Studies in Graphite and Related Compounds I: Electronic Band Structure in Graphite

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            Self-consistent LCAO calculation of the electronic properties of graphite. I. The regular graphite lattice

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              New characterization techniques for activated carbon fibers

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                Author and article information

                Journal
                2017-05-15
                Article
                1705.05089
                10ac9004-db5c-4cef-a93a-a53c6e8a020e

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                4 pages
                cond-mat.dis-nn math-ph math.MP

                Mathematical physics,Mathematical & Computational physics,Theoretical physics

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