The Hypergraphite: A possible extension of graphitic network

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We propose a class of networks which can be regarded as an extension of the graphitic network. These networks are constructed so that surface states with non-bonding character (edge states) are formed in a tight-binding model with one orbital for each atomic site. Besides, for several networks, the tight-binding electronic structures become a zero-gap semiconductor. These properties have been found in the π-electron system of the graphene. Thus, we call these networks hypergraphite.