TY - JOUR
T1 - Complex-temperature phase diagram of the 1D Z6 clock model and its connection with higher-dimensional models
AU - Matveev, Victor
AU - Shrock, Robert
PY - 1996/10/7
Y1 - 1996/10/7
N2 - 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.
AB - 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.
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U2 - 10.1016/0375-9601(96)00601-9
DO - 10.1016/0375-9601(96)00601-9
M3 - Article
AN - SCOPUS:0000667722
SN - 0375-9601
VL - 221
SP - 343
EP - 349
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 5
ER -