Fig. 4: Schematic description of the AFM Van Hove correlations.

At low temperatures, a a central spinon light cone emanates from r = 0, t = 0. As it reaches each neighboring site, it excites a pair of (red) spinons which creates its own light cone. Odd neighbor sites have opposite spin from r = 0 at t = 0, and thus they create (blue) antispinon pairs. Light cone shading indicates the strength/coherence of the quantum correlations. For even r, these spinon light cones create constructive interference and continue to flip spins up and down. For odd r, the spinons and antispinons destructively interfere, such that the correlations quickly go to zero. At high temperatures b, the spin correlations are much weaker, such that the spinon and antispinon light cones emanating from ∣r∣ > 0 are weakly coherent with r = 0 and thus their influence is suppressed, leading to oscillations restricted in both space in time as seen in Fig. 1.