Complex-temperature phase diagram of the 1D Z6 clock model and its connection with higher-dimensional models

Victor Matveev, Robert Shrock

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


We determine the exact complex-temperature (CT) phase diagram of the 1D Z6, 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 ID and 2D Z6, clock models.

Original languageEnglish (US)
Pages (from-to)343-349
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number5
StatePublished - Oct 7 1996
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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