Phase diagram and critical behavior of the antiferromagnetic Ising model in an external field
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Universidade Federal de Minas Gerais
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Artigo de periódico
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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.
Abstract
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Phase diagrams, Fenômenos Críticos, Método de Monte Carlo, Ising model
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Classical Monte Carlo simulations, Critical exponents and amplitudes, Phase diagrams, Sampling algorithms and rapid mixing
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https://doi.org/10.1088/1742-5468/2016/03/033107