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Complex-Temperature Phase Diagram of the 1D $Z_6$ Clock Model and its Connection with Higher-Dimensional Models | | Victor Matveev
; Robert Shrock
; | | Date: |
4 Jun 1996 | | Journal: | Phys.Lett. A221 (1996) 343-349 | | Subject: | cond-mat hep-lat | | Abstract: | We determine the exact complex-temperature (CT) phase diagram of the 1D $Z_6$ clock model. This is of interest because it is the first exactly solved system with a CT phase boundary exhibiting a finite-$K$ 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 $Z_6$ clock models. | | Source: | arXiv, cond-mat/9606014 | | Services: | Forum | Review | PDF | Favorites | |
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