Comment on “Temperature-dependent orientational ordering on a spherical surface modeled with a lattice spin model”

Silvano Romano
Phys. Rev. E 91, 046501 – Published 24 April 2015

Abstract

In Sec. II of the named paper, the authors study the planar model on a regular two-dimensional (square or triangular) lattice and find evidence of an ordering transition at finite temperatures in both cases. It is shown that their findings do not agree with, and appear to ignore, a number of mathematical results, which have been known in the literature for some decades to date, and entail orientational disorder at all finite temperatures, as well as the existence of the Berezinski–Kosterlitz-Thouless transition.

  • Received 22 December 2014

DOI:https://doi.org/10.1103/PhysRevE.91.046501

©2015 American Physical Society

Authors & Affiliations

Silvano Romano*

  • Dipartimento di Fisica, Universitá di Pavia, via A. Bassi 6, 27100 Pavia, Italy

  • *silvano.romano@pv.infn.it

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Original Article

Temperature-dependent orientational ordering on a spherical surface modeled with a lattice spin model

Alan M. Luo, Stefan Wenk, and Patrick Ilg
Phys. Rev. E 90, 022502 (2014)

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Issue

Vol. 91, Iss. 4 — April 2015

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