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

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

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

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arxiv 1207.3447 v1 pith:2BPBBEE2 submitted 2012-07-14 cond-mat.stat-mech

G. A. Canova , F. C. Poderoso , J. J. Arenzon , Y. Levin This is my paper · ORCID

classification cond-mat.stat-mech

keywords phaseexistencekorshunovmodelsargumentarxivauxiliarycalculated

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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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