Please use this identifier to cite or link to this item: http://hdl.handle.net/1843/41509
Type: Artigo de Periódico
Title: Phase diagram and critical behavior of the antiferromagnetic Ising model in an external field
Authors: Bruno Jeferson Lourenço
Ronald Dickman
Abstract: We study the critical properties of the antiferromagnetic spin-1/2 Ising model in an external field on the square lattice. Using tomographicentropic sampling, a flat-histogram simulation method, we estimate the number of configurations, Ω, and related microcanonical averages in the energymagnetizationspace, for system sizes L = 10–30. The critical line and exponents are calculated using finite-size scaling analysis in the temperature-external field plane. With these estimates in hand, we perform detailed studies of critical behavior using Metropolis sampling of larger systems (L ≥ 320). These results are compared to several approximate theoretical methods. Our estimates of critical exponents and Binder’s reduced fourth cumulant along the critical line are in very good agreement with their respective literature values for the twodimensional Ising universality class. We verify as well that the specific heat scales ln L along the critical line, as expected for an Ising-like critical point.
Subject: Phase diagrams
Fenômenos Críticos
Método de Monte Carlo
Ising model
language: eng
metadata.dc.publisher.country: Brasil
Publisher: Universidade Federal de Minas Gerais
Publisher Initials: UFMG
metadata.dc.publisher.department: ICX - DEPARTAMENTO DE FÍSICA
Rights: Acesso Restrito
metadata.dc.identifier.doi: https://doi.org/10.1088/1742-5468/2016/03/033107
URI: http://hdl.handle.net/1843/41509
Issue Date: 17-Mar-2016
metadata.dc.url.externa: https://doi.org/10.1088/1742-5468/2016/03/033107
metadata.dc.relation.ispartof: Journal of Statistical Mechanics: Theory and Experiment
Appears in Collections:Artigo de Periódico

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