Fig. 9: Scaling analysis in the cluster mean-field plus scaling analysis.

Cluster-size scalings of the critical points for the transitions (a) between the superfluid and Mott insulator states in the unfrustrated (J1, J2 > 0) case and b between the chiral superfluid and Mott insulator states in the frustrated (J1, J2 < 0) case. The extrapolated (λ → 1) values are plotted as a function of the hopping anisotropy J1/J2 in Fig. 5a.