Complex-Temperature Phase Diagram of the 1D $Z_6$ Clock Model and its Connection with Higher-Dimensional Models
Condensed Matter
2009-10-28 v1 High Energy Physics - Lattice
Abstract
We determine the exact complex-temperature (CT) phase diagram of the 1D clock model. This is of interest because it is the first exactly solved system with a CT phase boundary exhibiting a finite- intersection point where an odd number of curves (namely, three) meet, and yields a deeper insight into this phenomenon. Such intersection points occur in the 3D spin 1/2 Ising model and appear to occur in the 2D spin 1 Ising model. Further, extending our earlier work on the higher-spin Ising model, we point out an intriguing connection between the CT phase diagrams for the 1D and 2D clock models.
Keywords
Cite
@article{arxiv.cond-mat/9606014,
title = {Complex-Temperature Phase Diagram of the 1D $Z_6$ Clock Model and its Connection with Higher-Dimensional Models},
author = {Victor Matveev and Robert Shrock},
journal= {arXiv preprint arXiv:cond-mat/9606014},
year = {2009}
}
Comments
10 pages, latex, with two epsf figures