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The evolution of the antiferromagnetic order parameter in CeFeAsO_{1-x}F_{x}as a function of the fluorine content x was investigated primarily viazero-field muon-spin spectroscopy. The long-range magnetic order observed inthe undoped compound gradually turns into a short-range order at x=0.04,seemingly accompanied/induced by a drastic reduction of the magnetic moment ofthe iron ions. Superconductivity appears upon a further increase in doping(x>0.04) when, unlike in the cuprates, the Fe magnetic moments become evenweaker. The resulting phase diagram evidences the presence of a crossoverregion, where the superconducting and the magnetic order parameters coexist ona nanoscopic range.

Long- to short-range magnetic order in fluorine-doped CeFeAsO