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We report simultaneous measurements of the distribution of lattice constantsand the antiferromagnetic moment in high-purity URu2Si2, using both Larmor andconventional neutron diffraction, as a function of temperature and pressure upto 18 kbar. We establish that the tiny moment in the hidden order (HO) state ispurely parasitic and quantitatively originates from the distribution of latticeconstants. Moreover, the HO and large-moment antiferromagnetism (LMAF) at highpressure are separated by a line of first-order phase transitions, which endsin a bicritical point. Thus the HO and LMAF are coupled non-linearly and musthave different symmetry, as expected of the HO being, e.g., incommensurateorbital currents, helicity order, or multipolar order.

Parasitic small-moment-antiferromagnetism and non-linear coupling of hidden order and antiferromagnetism in URu2Si2 observed by Larmor diffraction