Fig. 8: Cluster mean-field calculations with 2D density matrix renormalization group.

a Mapping of the 2D cluster problem with the mean-field boundary onto an equivalent 1D chain with long-range interactions and mean fields. b Typical behavior of the provisional critical point \({U}_{{\rm{c}}}^{* }/| {J}_{2}|\) as a function of the given momentum q = (qx, 0) in units of πa−1 for the hopping anisotropy J1∕J2 = 0.7 and the cluster size NC = 21.