. The control of magnetic anisotropy is a key issue in the development of molecule-metal interfaces for magnetic applications, both at the single-molecule 12 and extended-film level 13 . In metallic multilayers used as storage media or spin-valve devices at present, tuning of the magnetic anisotropy is achieved either by a careful choice of the overlayer/substrate composition and thickness or by oxidation of the magnetic elements 11,14,15 . Recent studies showed that the magnetization direction of surface-supported paramagnetic molecules can be controlled through exchange coupling with a magnetic film, which provides robust ferromagnetic properties but does not enable each molecule to be switched independently from the substrate or its neighbours 16,17 . Alternatively, theoretical work suggested that the sign of magnetic anisotropy could be reversed in metal-organic complexes by exploiting oxidation processes that affect the hybridization of molecular orbitals with metal states carrying non-zero orbital magnetization 18 . Here, we investigate supramolecular self-assembly on a non-magnetic Cu surface as a means to produce two-dimensional
The quantum coupling of fully di erent degrees of freedom is a challenging path towards new functionalities for quantum electronics [1][2][3] . Here we show that the localized classical spin of a magnetic atom immersed in a superconductor with a twodimensional electronic band structure gives rise to a long-range coherent magnetic quantum state. We experimentally evidence coherent bound states with spatially oscillating particle-hole asymmetry extending tens of nanometres from individual iron atoms embedded in a 2H-NbSe 2 crystal. We theoretically elucidate how reduced dimensionality enhances the spatial extent of these bound states and describe their energy and spatial structure. These spatially extended magnetic states could be used as building blocks for coupling coherently distant magnetic atoms in new topological superconducting phases 4-11
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