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. 2016 Sep 21;7:12691. doi: 10.1038/ncomms12691

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Copyright © 2016, The Author(s)

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(a) The breathing pyrochlore. The letter u(d) refers to the up-pointing (down-pointing) tetrahedra and J(J′) indicates the nearest-neighbour exchange couplings on the up-pointing (down-pointing) tetrahedra. (b) The phase diagram. Regions I and II have the same magnetic order and belong to the same phase, but the magnetic excitations of the two regions are topologically distinct. Region III has a different magnetic order. The details of the phase diagram are discussed in the main text.