1999/12/09 by A. R. Lima, Adriene Ribeiro Lima, P.M.C. de Oliveira +2 · 15 citations
Mathematics · Physics and Astronomy · #Antiferromagnetism #Artificial intelligence #Complex Network Analysis Techniques #Computer science #Condensed matter physics #Histogram #Image (mathematics) #Ising model #Lattice (music) #Physics #Square lattice #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #k-nearest neighbors algorithm
paper · pdf · doi:10.1016/s0038-1098(00)00073-9
published in Solid State Communications 114(8), 447-452 (Elsevier BV) · 11 pages, 4 postscript figures
arxiv created 1999/12/09 · openalex publication_date 2000/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We extended the Broad Histogram Method in order to obtain spectral degeneracies for systems with multiparametric Hamiltonians. As examples we obtained the critical lines for the square lattice Ising model with nearest and next-nearest neighbor interactions and the antiferromagnetic Ising model in an external field. For each system, the entire critical line is obtained using data from a single computer run. We also discuss the accuracy and efficiency of our method.