Comment on: Competing Interactions, the Renormalization Group, and the Isotropic-Nematic Phase Transition, by D. Barci and D. Stariolo, Phys. Rev. Lett. 98, 200604 2007 - Condensed Matter > Statistical MechanicsReport as inadecuate




Comment on: Competing Interactions, the Renormalization Group, and the Isotropic-Nematic Phase Transition, by D. Barci and D. Stariolo, Phys. Rev. Lett. 98, 200604 2007 - Condensed Matter > Statistical Mechanics - Download this document for free, or read online. Document in PDF available to download.

Abstract: In a recent PRL Barci and Stariolo BS generalized the well known Brazovskiimodel to include an additional rotationally invariant quartic interaction andstudy this model in two dimensions 2d. Depending on the parameters of themodel, BS find two transitions: a first order isotropic-lamellar striped or asecond order isotropic-nematic which they speculate to be in theKosterlitz-Thouless universality class. Using a simple symmetry argument, Ishow that the striped phase found by BS can not exist in 2d. Furthermore, Iargue that based on the coarse-grained action used by BS it is impossible toreach any conclusion about the nature of the isotropic-nematic transition.



Author: Yan Levin

Source: https://arxiv.org/







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