2012/06/27 by Octavio D. Rodrı́guez Salmon, Octavio D. R. Salmon, Minos A. Neto +9
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.1206.6534
arxiv created 2012/06/27 · openalex publication_date 2012/06/27 · arxiv updated 2012/06/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We have studied the anisotropic three-dimensional nearest-neighbor Ising model with competitive interactions in an uniform longitudinal magnetic field H. The model consists of ferromagnetic interaction Jx(Jz) in the x(z) direction and antiferromagnetic interaction Jy in the y direction. We have compared our calculations within a effective-field theory in clusters with four spins (EFT-4) in the simple cubic (sc) lattice with traditional Monte Carlo (MC) simulations. The phase diagrams in the h-kBT/Jx plane (h=H/Jx) were obtained for the particular case λ1=Jy/Jx (λ2=Jz/Jx)=1 (anisotropic sc). Our results indicate second-order frontiers for all values of H for the particular case λ2=0 (square lattice), while in case λ1=λ2=1, we observe first- and second-order phase transitions in the low and high temperature limits, respectively, with presence of a tricritical point. Using EFT-4, a reentrant behavior at low temperature was observed in contrast with results of MC.