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The Ising antiferromagnet on a face-centered cubic (fcc) lattice withnearest-neighbor interaction only is well known to exhibit a macroscopic(exponential in the system size $L$) ground-state degeneracy. With increasingtemperature, this degeneracy is expected to be lifted and the model undergoes afirst-order phase transition. For a model with an exponential degeneracy in thewhole low-temperature phase, it was recently found that the finite-size scalingbehavior is governed by leading correction terms $\sim L^{-2}$ instead of $\simL^{-3}$ as usual. To test the conjecture that such a transmuted behavior mayeffectively persist also for the fcc antiferromagnet up to some crossoversystem size, we have performed parallel multicanonical Monte Carlo simulationsfor lattices of linear size $L \le 18$ with periodic boundary conditions anddetermined various inverse pseudo phase transition temperatures, as well as theextremal values of the specific heat and the energetic Binder parameter. Weindeed find that, for the simulated lattice sizes, the conjectured transmutedfinite-size scaling ansatz fits the data better than the standard ansatz. Onthis basis, we extrapolate for the transition temperature an estimate of $T_0 =1.735047(46)$.

Finite-size scaling of Monte Carlo simulations for the fcc Ising antiferromagnet: Effects of the low-temperature phase degeneracy