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• W2012359011 endingPage "P03020" @default.
• W2012359011 startingPage "P03020" @default.
• W2012359011 abstract "We study the square-lattice Ising model with nearest-neighbor (J1) and next nearest-neighbor (J2) interactions, using the Wang?Landau Monte Carlo algorithm and the partition function zeros in the complex temperature plane (Fisher zeros). Here, the competition between J1 and J2 interactions is defined by the coupling ratio R = J2/J1. For J2 > 0, the critical behavior is trivial and is the same as the square-lattice Ising model with only J1 interaction. On the other hand, the new phase of superantiferromagnet appears for J2 < 0. However, the nature of the transition into the superantiferromagnetic phase is still controversial in the literature. To resolve the controversy, we estimate the critical temperature Tc(R) and thermal scaling exponent yt(R) from the Fisher zeros, as a function of R. The estimated values of Tc(R) agree well with the results in the literature. We obtain the simple critical behavior with a fixed value of the thermal scaling exponent, yt(R) = 1, for and J2 < 0 (Ising antiferromagnet). For and J2 < 0 (Ising superantiferromagnet), however, it is shown that yt(R) continuously varies depending on R values, and the estimated values of yt(R) are clearly less than that of the first-order phase transition, yt = 2." @default.
• W2012359011 created "2016-06-24" @default.
• W2012359011 creator A5008045279 @default.
• W2012359011 creator A5016198765 @default.
• W2012359011 creator A5024114682 @default.
• W2012359011 creator A5063918422 @default.
• W2012359011 date "2010-03-24" @default.
• W2012359011 modified "2023-09-25" @default.
• W2012359011 title "Study of a square-lattice Ising superantiferromagnet using the Wang–Landau algorithm and partition function zeros" @default.
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• W2012359011 doi "https://doi.org/10.1088/1742-5468/2010/03/p03020" @default.
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