Quantum Percolation Transition from Graphene to Graphane: Graph Theoretical Approach

Details Quantum Percolation Transition from Graphene to Graphane: Graph Theoretical Approach Quantum Percolation Transition from Graphene to Graphane: Graph Theoretical Approach

2011-04-14

arxiv.org/abs/1104.2646v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 7 figures

Scientific paper

Graphane is obtained by perfectly hydrogenating graphene. There exists an intermediate material, partially hydrogenated graphene (which we call \textit{hydrographene}), interpolating from pure graphene to pure graphane. It has various intriguing electronic and magnetic properties. We investigate a metal-insulator transition, employing a quantum-site percolation model together with a graph theoretical approach. Hydrographene is an exceptional case in which electronic properties cannot be determined solely by the density of states at the Fermi energy. Though there are plenty of zero energy state in wide range of hydrogenation density, most of them are insulating states. We also demonstrate that it shows a bulk ferromagnetic property based on the Lieb theory.

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