Finite-temperature behavior of the Ising antiferromagnet on the octochlore (reo) net

Determine the finite-temperature phase behavior of the nearest-neighbor antiferromagnetic Ising model on the RCSR reo (octochlore) net, including whether any finite-temperature ordering transition occurs and the nature of the resulting phase(s).

Background

Prior work shows that the Ising antiferromagnet on the reo net exhibits partial order with finite residual entropy at zero temperature, but finite-temperature properties have not been established. In the present simulations, no ordering transition was observed down to T/J = 0.01, leaving open whether a transition occurs at lower temperatures or under different conditions.

Clarifying the finite-temperature behavior would complete the understanding of this model and help interpret experimental signatures such as heat capacity and diffuse scattering in materials realizing the reo topology.