1208.5469 (Octavio D. R. Salmon et al.)

Qualitative Aspects of the Phase Diagrams of $J_{1}-J_{2}$ Model in the
Cubic Lattice    [PDF]

Octavio D. R. Salmon, Nuno Crokidakis, Minos A. Neto, Igor T. Padilha, J. Roberto Viana, J. Ricardo de Sousa

The qualitative aspects of the phase diagram of the Ising model on the cubic lattice, with ferromagnetic first neighbors ($J_{1}$) and antiferromagnetic second neighbor couplings ($J_{2}$) are analyzed in the plane temperature versus $\alpha$, where $\alpha=J_{2}/J_{1}$ is a frustrated parameter. We used the original Wang-Landau and the standard Metropolis algorithm to compare past results of this model obtained by the effective-field theory for the cubic lattice. Although the nature of some critical points, chosen at relevant values of $\alpha$, show that the phase diagram is, in general, qualitatively correct, our Monte Carlo results suggest that the reentrance form of the frontier that separates the ferromagnetic and the colinear order is an artifact of the effective-field theory, which might disappear by improving these approach.

View original: http://arxiv.org/abs/1208.5469