Fig. 3: Histograms of the O(3) order parameter.

The histograms are plotted on the two-dimensional (ϕ1,ϕ2) plane and are obtained from the QMC data for L = 24 systems with different V. The a, b face-cubic anisotropies are observed inside the LN phase, while the histogram in a region of phase coexistence, plotted in c, indicates the first-order nature of the transition. The d–f corner-cubic anisotropies are observed inside the VP phase, and g near the continuous phase transition point.