Scaling in the vicinity of the fourstate Potts fixed point
Abstract
We study a selfdual generalization of the BaxterWu model, employing results obtained by transfer matrix calculations of the magnetic scaling dimension and the free energy. While the pure critical BaxterWu model displays the critical behavior of the fourstate 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 firstorder range, away from the behavior displayed by the nearestneighbor, fourstate 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 fourstate Potts model. Our finitesize analysis confirms in detail the existing renormalization theory describing the immediate vicinity of the fourstate Potts fixed point.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 August 2017
 DOI:
 10.1088/17518121/aa7b53
 arXiv:
 arXiv:1710.06088
 Bibcode:
 2017JPhA...50F4001B
 Keywords:

 Condensed Matter  Statistical Mechanics
 EPrint:
 19 pages, 7 figures