Monte Carlo study of the Blume-Emery-Griffiths model at the ferromagnetic-antiquadrupolar-disordered phase interface

Abstract

In this paper, we give high precision Monte Carlo (MC) results for the Blume-Emery-Griffiths (BEG) model at the ferromagnetic-antiquadrupolar-disordered phase interface. The data are analyzed by the multiple histogram technique. We show that this point of the phase diagram presents a highly degenerate ground-state with a residual entropy at temperature T=0 taking the values S ∞ = 0.7670′0.0005 and 0.7048′0.0008 for the two and the three-dimensional systems, respectively. We prove that the system with dimension d=2 does not present any re-entrant behavior, while a re-entrance occurs in the system d=3 with a phase transition at T c =1.036′0.007. Results for a multilayer system are also presented. They show that the re-entrance begins to appear for M≥5, where M is the number of layers. Finally, the staggered quadrupolar phase is shown to be unstable for d = 2 and d = 3 as well.