The Conical Point in the Ferroelectric Six-Vertex Model

Details The Conical Point in the Ferroelectric Six-Vertex Model The Conical Point in the Ferroelectric Six-Vertex Model

1994-06-14

arxiv.org/abs/cond-mat/9406060v1

Physics

Condensed Matter

28 pages (LaTeX); 8 postscript figures available on request (joels@sfu.ca). Submitted to Journal of Statistical Physics. SFU-D

Scientific paper

10.1007/BF02180132

We examine the last unexplored regime of the asymmetric six-vertex model: the low-temperature phase of the so-called ferroelectric model. The original publication of the exact solution, by Sutherland, Yang, and Yang, and various derivations and reviews published afterwards, do not contain many details about this regime. We study the exact solution for this model, by numerical and analytical methods. In particular, we examine the behavior of the model in the vicinity of an unusual coexistence point that we call the ``conical'' point. This point corresponds to additional singularities in the free energy that were not discussed in the original solution. We show analytically that in this point many polarizations coexist, and that unusual scaling properties hold in its vicinity.

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