Figure 10: Isosurfaces of constant Berry curvature fluctuations in the parameter space of the kagomé lattice model.

Parameter values which minimize the root-mean-square Berry curvature fluctuation σ_B of the kagomé lattice model are marked by the large, central black dot. The large red dot identifies parameter values which yielded the maximum gap for the Laughlin state of N=8 bosons at v=1/2. Concentric shaded surfaces are isosurfaces upon which σ_B takes a constant value equal to 1.05, 1.1, 1.25 and 1.5 times its minimum value (respectively). Blue contours on the walls of the box are sections through these surfaces at the minimum σ_B point. Small grey points identify random samples taken from the σ_B=1.25 min σ_B isosurface, to illustrate uniformity.