An Incompletely-Ordered Phase in the Two- Dimensional 6-State General Clock Model with Next-Nearest-Neighbor Interactions

概要

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By applying our Monte Carlo twist method we study the Q=6 general clock model with next-nearest-neighbor interactions V_<nn> in two dimensions (d=2). By estmating the stiffness exponent ψ we find in some range of V_<nn> an ordered phase of very soft rigidity with ψ close to 0.1 less than d-1 (highest rigidity). This is a counterpart in d=2 of the incompletely-ordered phases (IOPs) with ψ≃ 1.2 already found in the same model in d=3 with V_<nn>=0 which has two kinds of IOPs (IOP1 and IOP2). Further analyses including the profiles of twisted states indicate that this phase is the IOP2 where a set of three adjacent states are dominant and well mixed. The phase diagram obtained looks very similar to that of the d=3 model except that the IOP 1 cannot be found within the range of our study.
1993-12-15