Fig. 4.

The level statistics ($r$ value) as a function of the field strength, $F$, and disorder strength, $W$, for a disordered 2D system of $4\times 4$ spins with an incommensurate force $\mathbf{F}=F\left(\sqrt{2},1\right)$ (averaged over 32 realizations). The red line is a guide to the eye and is given by a contour of $r\approx 0.46$.