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

N1 - Funding Information:
This research was supported in grant PHY-93-09888.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

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

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

SN - 0375-9601

IS - 5

ER -