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“…We can play the same game with the quantity Re q 0 for the lattice strips of even width m. The fits to the Ansatz A + Bm −∆ are similar to the former case: as m is increased, A decreases from 3.22832(3) down to 3.02285 (28); −B increases from 2.95545(6) to 5.970 (19); and ∆ increases from 0.87657(4) to 1.4866 (20). The χ 2 is poor: 5.19 × 10 6 and 5.30 × 10 3 for m min = 4 and 6 respectively.…”

“…In all the fits we impose a lower cutoff m ≥ m min to the data and we study the effect of the cutoff on the estimates A, B and ∆ and on the χ 2 . As we increase m min the estimate A decreases from 3.12688(2) down to 3.02799(5); the estimate −B increases from 1.49601(4) to 2.8011 (19); and the exponent ∆ increases from 0.76651(40) to 1.25578 (42). The χ 2 is very poor: 8.69 × 10 6 and 1.75 × 10 5 for m min = 5 and 7 respectively.…”

“…For q = 4 Monte Carlo simulations show that the model is disordered even at zero temperature [19]. It thus seems clear that q c (sq) = 3.…”

“…For q = 2 this model undergoes a finite-temperature second-order phase transition. For q = 3 there is strong analytic and numerical support for a zero-temperature critical point [12,13,14,15,16,17,18,19], though a rigorous proof is (to our knowledge) still lacking.…”

The Hintermann–Merlini–Baxter–Wu and the infinite-coupling-limit Ashkin–Teller models

“…The antiferromagnetic 4-state Potts model on the square lattice is disordered even at zero temperature [34,35].…”