Scaling in the vicinity of the four-state Potts fixed point
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.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- August 2017
- DOI:
- 10.1088/1751-8121/aa7b53
- arXiv:
- arXiv:1710.06088
- Bibcode:
- 2017JPhA...50F4001B
- Keywords:
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- Condensed Matter - Statistical Mechanics
- E-Print:
- 19 pages, 7 figures