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arXiv · 1706.05126

Ashkin-Teller criticality and weak-first-order behavior of phase transition to four-fold degenerate state in two-dimensional frustrated Ising antiferromagnets

R. M. Liu·W. Z. Zhuo·J. Chen·M. H. Qin·M. Zeng·X. B. Lu·X. S. Gao·J. M. Liu
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Abstract

We study the thermal phase transitions of the four-fold degenerate phases (the plaquette and single stripe states) in two-dimensional frustrated Ising model on the Shastry-Sutherland lattice using Monte Carlo simulations. The critical Ashkin-Teller-like behavior is identified both in the parameter regions with the plaquette and single stripe phases, respectively. The four-state Potts-critical end points differentiating the continuous transitions from the first-order ones are estimated based on finite-size scaling analyses. Furthermore, similar behavior of the transition to the four-fold single stripe phase is also observed in the anisotropic triangular Ising model. Thus, this work clearly demonstrates that the transitions to the four-fold degenerate states of two-dimensional Ising antiferromagnets exhibit similar transition behavior.

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R. M. Liu, W. Z. Zhuo, J. Chen, M. H. Qin, M. Zeng, X. B. Lu, X. S. Gao, J. M. Liu. 2017-06-16. Ashkin-Teller criticality and weak-first-order behavior of phase transition to four-fold degenerate state in two-dimensional frustrated Ising antiferromagnets. https://doi.org/10.1103/physreve.96.012103

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