1207.3447 (G. A. Canova et al.)

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

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

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 $q=3$.

View original: http://arxiv.org/abs/1207.3447