Figure 1. Comparison of correlations in spin-ice with those of the spin-liquid discussed in this work.

Predictions for polarized neutron scattering experiments are shown in the (a,b) SF and (c,d) NSF channels, as measured by Fennell et al.¹⁰,¹¹. (a) Prediction for spin-ice in the SF channel exhibiting pinch-point singularities. (b) Prediction for scattering in the SF channel in the spin-liquid discussed in this work. (c) Prediction for spin-ice in the NSF channel. This channel is completely featureless in a nearest neighbour model for spin-ice—as shown here—and develops smooth maxima at the zone boundaries in the presence of long range dipole interactions¹⁰. (d) Prediction for scattering in the NSF channel in the spin-liquid discussed in this work. In contrast to spin-ice, the spin-liquid discussed here exhibits singular features in both SF and NSF scattering. Results are taken from classical Monte Carlo simulation of the nearest neighbour model (equation (1)), as described in the text.