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It is generally believed that free-standing graphene does not demonstrate anyferroic properties. In the present work we revise this statement and show thatsingle graphene sheet with a pair of magnetic adatoms can be driven intoferroelectric (FE) and multiferroic (MF) phases by tuning the Dirac conesslope. The transition into the FE phase occurs gradually, but an anomalous MFphase appears abruptly by means of a Quantum Phase Transition. Our findingssuggest that such features should exist in graphene recently investigated byScanning Tunneling Microscopy (Science 352, 437 (2016)).

Realization of anomalous multiferroicity in free-standing graphene with magnetic adatoms