Read the pairwise exchange couplings J_ij straight from Prophet-Spin's exchange layer in a supercell at least twice the exchange cutoff wide. The checkpoint is Heisenberg-form, so at fixed moment magnitudes E = E0 + Σ J_ij m_i·m_j is the model's exact energy, not a fit. Moments come from a magCIF's _atom_site_moment loop (for example the relax route's output) or are predicted from the lowest collinear ordering. Reports the mean-field ordering temperature, which overestimates, and the susceptibility peak of classical Heisenberg Monte Carlo, with the order-parameter curve and exchange shells (J_meV = -J_ij|m_i||m_j|; positive favors parallel moments). The Monte Carlo order parameter follows the ordering the couplings prefer (the leading mean-field modes). mean_field_ordering_overlap near 1 means that ordering is the input moments' pattern; near 0 means the couplings favor a different, possibly non-collinear, order. Classical spins with rigid magnitudes: no quantum statistics or longitudinal fluctuations.
On rare-earth magnets, Prophet models the iron and cobalt, not the rare earth
Relax and Curie routes on nine rare-earth magnets. Nd, Sm, and Y carry no moment. Gd does, but couples the wrong way. Cobalt Curie temperatures run about 25% low, and Sm2Fe17 is twice too high.
Prophet relaxes magnets to about 1%, and its ferromagnetic Curie temperatures are off by 20% on average
Relax and Curie routes on ten materials with known lattices and ordering temperatures. Lattices land within about 1%, except MnBi's c axis. MnBi's order and the oxide Néel temperatures miss.
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