Simple cubic fully frustrated Ising crystal by Monte Carlo simulations

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Abstract
Using the Monte Carlo technique, we study a simple cubic fully frustrated Ising crystal. We find a sharp second‐order phase transition, contrary to what is predicted by various theories. By finite size scaling we find the critical temperature kBTc/J =1.355 for an infinite lattice. Various physical properties are studied in detail. The behavior of the system at low temperatures is particularly interesting. There are two ordered phases: the high‐temperature ordered phase where local disorders move from one sublattice to another and the low‐temperature ordered phase where the disorder is frozen on one pair of sublattices. This causes a shoulder observed in the specific heat far below Tc.