2009/09/22 by Junqi Yin, D. P. Landau · 1 citation
Mathematics · Physics and Astronomy · #Antiferromagnetism #Complex Network Analysis Techniques #Computer science #Condensed matter physics #Critical exponent #Critical line #Critical point (mathematics) #Geometry #Ising model #Mathematics #Monte Carlo method #Opinion Dynamics and Social Influence #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum mechanics #Square lattice #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat.stat-mech #k-nearest neighbors algorithm #physics.comp-ph
paper · pdf · doi:10.1103/physreve.80.051117
9 pages, 12 figures
arxiv created 2009/09/22 · openalex publication_date 2009/11/17 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Using the parallel tempering algorithm and graphics processing unit accelerated techniques, we have performed large-scale Monte Carlo simulations of the Ising model on a square lattice with antiferromagnetic (repulsive) nearest-neighbor and next-nearest-neighbor interactions of the same strength and subject to a uniform magnetic field. Both transitions from the (2x1) and row-shifted (2x2) ordered phases to the paramagnetic phase are continuous. From our data analysis, re-entrance behavior of the (2x1) critical line and a bicritical point which separates the two ordered phases at T=0 are confirmed. Based on the critical exponents we obtained along the phase boundary, Suzuki's weak universality seems to hold.