Abstract
Graphane is obtained by perfectly hydrogenating graphene. There exists an intermediate material, partially hydrogenated graphene (which we call hydrographene), interpolating from pure graphene to pure graphane. Employing a graph theoretical approach to the site-percolation model, we present an intuitive and physical picture revealing a percolation transition from graphene to graphane. It is demonstrated that hydrographene shows a bulk ferromagnetism based on the Lieb theory. We also propose a weighted percolation model in order to take into account the tendency of hydrogenation to cluster.
Highlights
Graphene[1, 2] is one of the most interesting material in condensed matter physics
We show that a percolation transition occurs from graphene to graphane at certain hydrogenation density qc
We argue that hydrographene is a bulk ferromagnet based on the Lieb theory[16]
Summary
Graphene[1, 2] is one of the most interesting material in condensed matter physics. In particular, graphene nanoribbons[3] and graphene nanodisks[4] show remarkable electronic and magnetic properties due to their edge states, and they would be promising candidates for future nanoelectronic devices. We improve this simple percolation model by taking into account the tendency of hydrogenation to cluster. It is well described by the Hubbard Hamiltonian,.
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