Comment on "Phase transition of a two-dimensional generalized XY model"

Aernout van Enter (1) , Silvano Romano (2) , Valentin Zagrebnov (3, 4, 5)

1 Johann Bernoulli Institute of Mathematics and Computing Science
2 Department of Physics
3 CPT - E5 Physique statistique et systèmes complexes
4 CPT - Centre de Physique Théorique - UMR 6207
5 CPT - Centre de Physique Théorique - UMR 7332

We point out that the claim of strong universality of the paper by Komura and Okabe (2011 J. Phys. A: Math. Theor. 44 015002) is incorrect, as it contradicts known rigorous results.

Mots clés: Generalised XY-model; Kosterlitz-Thouless versus first-order transition; nonuniversality

Domaines: Physique mathématique [math-ph]

Aernout van Enter, Silvano Romano, Valentin Zagrebnov. Comment on "Phase transition of a two-dimensional generalized XY model". Journal of Physics A: Mathematical and Theoretical, 2011, 44 (20), pp.208001. ⟨10.1088/1751-8113/44/20/208001⟩. ⟨hal-00968544⟩