Figure 3: Weak transverse field (wTF) muon spin rotation (μSR) experiments and magnetic volume fraction of RENiO₃ and V₂O₃.

(a) wTF time spectra for three compounds of RENiO₃ near the quantum phase transition (QPT) at 2 K, with one spectrum measured at higher temperature (250 K) shown for comparison. The coloured dots represent the data, the solid curves the fits described in the text. (b) Temperature dependence of the magnetic volume fraction in RENiO₃ derived from the fits. Circles (triangles) represent wTF (ZF) measurements, and filled (open) symbols represent warming (cooling) sequences. Solid and dashed curves are guides to the eye, with solid corresponding to cooling and dashed to warming. The compounds near the QPT have a significantly reduced ordered volume fraction at low temperature, indicating phase separation between magnetic and paramagnetic regions of the sample. Error bars were obtained by propagating the estimated standard deviations (ESDs) of the refined asymmetry values produced from the least-squares minimization. (c) Magnetic volume fraction of V₂O₃ under different hydrostatic pressures. The symbols are the same as in b. As with RENiO₃, the ordered volume fraction is strongly reduced near the QPT.