Ordered states of adatoms on graphene

Abstract

We show that a dilute ensemble of epoxy-bonded adatoms on graphene has a tendency to form a spatially correlated state accompanied by a gap in graphene's electron spectrum. This effect emerges from the electron-mediated interaction between adatoms with a peculiar 1/r3 distance dependence. The partial ordering transition is described by a random bond three state Potts model.

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