Comment on ‘Critical points of Potts and O(N) models from eigenvalue identities in periodic Temperley–Lieb algebras’

We present an algorithm to compute the exact critical probability h ( n ) for an n × ∞ helical square lattice with random and independent site occupancy. The algorithm has time complexity O ( n 2 c n ) and space complexity O ( c n ) with c = 2.7459... and allows us to compute h ( n ) up to n = 24. Since the extrapolation result of h ( n ) is inconsistent with the current best estimation of p c , we also compute and extend the exact critical probability p c ( n ) for an n × ∞ cylindrical square lattice to n = 24. Our calculation shows that the current best result of p c = 0.592 746 050 792 10 ( 2 ) by Jacobsen (2015 J. Phys. A: Math. Theor. 48 454003) is incorrect and the corrected value should be 0.592 746 050 7896 ( 1 ) .