Density of states, Potts zeros, and Fisher zeros of theQ-state Potts model for continuousQ
نویسندگان
چکیده
منابع مشابه
Density of states, Potts zeros, and Fisher zeros of the Q-state Potts model for continuous Q.
The Q-state Potts model can be extended to noninteger and even complex Q by expressing the partition function in the Fortuin-Kasteleyn (F-K) representation. In the F-K representation the partition function Z(Q,a) is a polynomial in Q and v=a-1 (a=e(betaJ)) and the coefficients of this polynomial, Phi(b,c), are the number of graphs on the lattice consisting of b bonds and c connected clusters. W...
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The microcanonical transfer matrix is used to study the distribution of the Fisher zeros of the Q > 2 Potts models in the complex temperature plane with nonzero external magnetic field Hq. Unlike the Ising model for Hq 6= 0 which has only a non-physical critical point (the Fisher edge singularity), the Q > 2 Potts models have physical critical points forHq < 0 as well as the Fisher edge singula...
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The distribution of the zeros of the partition function in the complex temperature plane (Fisher zeros) of the two-dimensional Q-state Potts model is studied for non-integer Q. On L × L self-dual lattices studied (L ≤ 8), no Fisher zero lies on the unit circle p0 = e iθ in the complex p = (e − 1)/√Q plane for Q < 1, while some of the Fisher zeros lie on the unit circle for Q > 1 and the number ...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2001
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.63.066107