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Topological defects have been playgrounds for many emergent phenomena incomplex matter such as superfluids, liquid crystals, and early universe.Recently, vortex-like topological defects with six interlocked structuralantiphase and ferroelectric domains merging into a vortex core were revealed inmultiferroic hexagonal manganites. Numerous vortices are found to form anintriguing self-organized network. Thus, it is imperative to find out themagnetic nature of these vortices. Using cryogenic magnetic force microscopy,we discovered unprecedented alternating net moments at domain walls aroundvortices that can correlate over the entire vortex network in hexagonal ErMnO3The collective nature of domain wall magnetism originates from theuncompensated Er3+ moments and the correlated organization of the vortexnetwork. Furthermore, our proposed model indicates a fascinating phenomenon offield-controllable spin chirality. Our results demonstrate a new route toachieving magnetoelectric coupling at domain walls in single-phasemultiferroics, which may be harnessed for nanoscale multifunctional devices.

Collective magnetism at multiferroic vortex domain walls