Reply to "Incommensurate vortices and phase transitions in two-dimensional XY models with interaction having auxiliary minima" by S. E. Korshunov

G. A. Canova; F. C. Poderoso; J. J. Arenzon; Y. Levin

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arXiv · 1207.3447

Reply to "Incommensurate vortices and phase transitions in two-dimensional XY models with interaction having auxiliary minima" by S. E. Korshunov

G. A. Canova·F. C. Poderoso·J. J. Arenzon·Y. Levin

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Abstract

We present a rigorous proof and extensive numerical simulations showing the existence of a transition between the paramagnetic and nematic phases, in a class of generalized XY models. This confirms the topology of the phase diagram calculated by Poderoso et al. [PRL 106(2011)067202]. The results disprove the heuristic argument presented by Korshunov in arXiv:1207.2349v1, against the existence of the generalized-nematic phase in a model with $q=3$.

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G. A. Canova, F. C. Poderoso, J. J. Arenzon, Y. Levin. 2012-07-14. Reply to "Incommensurate vortices and phase transitions in two-dimensional XY models with interaction having auxiliary minima" by S. E. Korshunov. https://arxiv.org/abs/1207.3447

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