Phase diagram and critical behavior of the antiferromagnetic Ising model in an external field

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dc.creatorBruno Jeferson Lourenço
dc.creatorRonald Dickman
dc.date.accessioned2022-05-10T17:37:33Z
dc.date.accessioned2025-09-09T01:11:12Z
dc.date.available2022-05-10T17:37:33Z
dc.date.issued2016-03-17
dc.description.sponsorshipCNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico
dc.description.sponsorshipCAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
dc.format.mimetypepdf
dc.identifier.doihttps://doi.org/10.1088/1742-5468/2016/03/033107
dc.identifier.issn1742-5468
dc.identifier.urihttps://hdl.handle.net/1843/41509
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofJournal of Statistical Mechanics: Theory and Experiment
dc.rightsAcesso Restrito
dc.subjectPhase diagrams
dc.subjectFenômenos Críticos
dc.subjectMétodo de Monte Carlo
dc.subjectIsing model
dc.subject.otherClassical Monte Carlo simulations
dc.subject.otherCritical exponents and amplitudes
dc.subject.otherPhase diagrams
dc.subject.otherSampling algorithms and rapid mixing
dc.titlePhase diagram and critical behavior of the antiferromagnetic Ising model in an external field
dc.typeArtigo de periódico
local.citation.epage11
local.citation.issue3
local.citation.spage1
local.citation.volume2016
local.description.resumoWe 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.
local.identifier.orcidhttps://orcid.org/0000-0003-2378-9393
local.publisher.countryBrasil
local.publisher.departmentICX - DEPARTAMENTO DE FÍSICA
local.publisher.initialsUFMG
local.url.externahttps://doi.org/10.1088/1742-5468/2016/03/033107

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