Fractional magnetic excitations naturally emerge in one-dimensional spin chains. The search for fractionalization in higher dimensions has focused on frustrated systems but evidence now suggests that it can occur in simple two-dimensional antiferromagnets.
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Becca, F., Sorella, S. Break it up. Nature Phys 11, 8–9 (2015). https://doi.org/10.1038/nphys3213
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DOI: https://doi.org/10.1038/nphys3213