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arXiv · 1710.06088

Scaling in the vicinity of the four-state Potts fixed point

H. W. J. Blöte·WenAn Guo·M. P. Nightingale
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Abstract

We study a self-dual generalization of the Baxter-Wu model, employing results obtained by transfer matrix calculations of the magnetic scaling dimension and the free energy. While the pure critical Baxter-Wu model displays the critical behavior of the four-state Potts fixed point in two dimensions, in the sense that logarithmic corrections are absent, the introduction of different couplings in the up- and down triangles moves the model away from this fixed point, so that logarithmic corrections appear. Real couplings move the model into the first-order range, away from the behavior displayed by the nearest-neighbor, four-state Potts model. We also use complex couplings, which bring the model in the opposite direction characterized by the same type of logarithmic corrections as present in the four-state Potts model. Our finite-size analysis confirms in detail the existing renormalization theory describing the immediate vicinity of the four-state Potts fixed point.

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H. W. J. Blöte, WenAn Guo, M. P. Nightingale. 2017-10-17. Scaling in the vicinity of the four-state Potts fixed point. https://doi.org/10.1088/1751-8121%2Faa7b53

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