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Emergency of superconductivity at the instabilities of antiferromagnetism hasbeen widely recognized in unconventional superconductors. In copper-oxidesuperconductors, spin fluctuations play a predominant role in electron pairingwith electron dopants yet composite orders veil the nature of superconductivityfor hole-doped family. However, in electron-doped copper oxide superconductors(cuprates) the AFM critical end point is still in controversy for differentprobes, demonstrating high sensitivity to oxygen content. Here, by carefullytuning the oxygen content, a systematic study of the Hall signal andmagnetoresistivity up to 58 Tesla on LCCO thin films identifies twocharacteristic temperatures. The former is quite robust, whereas the latterbecomes flexible with increasing magnetic field, thereby linking respectivelyto two- and three-dimensional AFM, evident from the multidimensional phasediagram as a function of oxygen and Ce dopants. A rigorous theoretical analysisof the presented data suggest the existence of conductive nano-filamentarystructures that effectively corroborate all previously reported field studies.The new findings provide a uniquely consistent alternative picture inunderstanding the interactions between AFM and superconductivity inelectron-doped cuprates and offer a consolidating interpretation to thepioneering scaling law in cuprates recently established by Bozovic et al.(Nature, 2016)

A conducting nano-filament (CNF) network as a precursor to the origin of superconductivity in electron-doped copper oxides