Fig. 4.

Organization of J_ij by D_⊥(i, j). The distances D_⊥(i, j) within layer λ and between λ and λ′ are ranked after fixing i on layer λ. The site labeled 0 is the site with D_⊥(i, j) = 0, the sites labeled 1 are the sites with D_⊥(i, j) = 1, and the sites labeled 2 are the sites with , etc. The site i is chosen at the center for the sake of presentation. The interaction on the blue link contributes to J₀ between layers λ and λ′, and the interactions on the red links contribute to J₁ between these two layers. The rest of the links (not shown here) are obtained by varying the site i and repeating the procedure.