Davide Galli - Università di Milano # 3He and 4He on graphene-fluoride and graphane: prediction of novel fluid, superfluid and supersolid phases # We present a study of submonolayer He adsorbed on two derivatives of graphene: graphene-fluoride (GF) and graphane (GH). A semiempirical interaction with the substrate is used in state of the art quantum simulations. We predict that both isotopes 3He and 4He form anisotropic fluid states at low coverage. The commensurate state analogous to the standard √×√ R30° phase that preempts fluid states on graphite turns out to be unstable relative to a fluid state. The commensurate insulating ground state on GF and GH is disfavored by the much smaller inter-site distance (below 1.5 Å) compared to graphite (2.46 Å) implying a large energy penalty for localizing He atoms. The 4He ground state on both substrates is a self-bound anisotropic superfluid with anisotropic roton excitations and with a superfluid density ρs reduced from 100% due to the corrugation of the adsorption potential. In the case of GF such corrugation is so large that ρs = 57% at T=0K and the superfluid is essentially restricted to move in a multiconnected space, along the bonds of a honeycomb lattice. We predict a superfluid transition temperature T ≈ 0.25(1.1)K for 4He on GF (GH). At higher coverages we find two kinds of solids, an incommensurate triangular one as well as a novel commensurate state at filling factor 2/7 with 4 atoms in the unit cell. We have evidence that this 2/7 state is supersolid. We conclude that these new platforms for adsorption studies offer the possibility of studying novel phases of quantum condensed matter like an anisotropic Fermi fluid, possibly superfluid, an anisotropic Bose superfluid and a commensurate supersolid.