Comment on ‘‘Antiferromagnetic Potts models’’
نویسندگان
چکیده
منابع مشابه
Antiferromagnetic Potts models on the square lattice.
We study the antiferromagnetic q-state Potts model on the square lattice for q = 3 and q = 4, using the Wang-Swendsen-Koteck y Monte Carlo algorithm and a new nite-size-scaling extrapolation method. For q = 3 we obtain good control up to correlation length 5000; the data are consistent with () = Ae 2 (1 + a 1 e +. . .) as ! 1. For q = 4 the model is disordered even at zero temperature.
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We study the antiferromagnetic q-state Potts model on the square lattice for q = 3 and q = 4, using the Wang-Swendsen-Kotecký (WSK) Monte Carlo algorithm and a powerful finite-size-scaling extrapolation method. For q = 3 we obtain good control up to correlation length ξ ∼ 5000; the data are consistent with ξ(β) = Ae2ββp(1 + a1e −β + . . .) as β → ∞, with p ≈ 1. The staggered susceptibility beha...
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The critical properties of the mixed ferro/antiferromagnetic q-state Potts model on the square lattice are investigated using the numerical transfer matrix technique. The transition temperature is found to be substantially lower than previously found for q = 3. It is conjectured that there is no transition for q > 3, in contradiction with previous results.
متن کاملar X iv : h ep - l at / 9 30 40 02 v 1 3 A pr 1 99 3 Comment on “ Antiferromagnetic Potts Models ”
We show that the Wang-Swendsen-Kotecký algorithm for antiferromagnetic q-state Potts models is nonergodic at zero temperature for q = 3 on periodic 3m × 3n lattices where m,n are relatively prime. For q ≥ 4 and/or other lattice sizes or boundary conditions, the ergodicity at zero temperature is an open question. Wang, Swendsen and Kotecký (WSK) [1] have recently proposed an elegant Monte Carlo ...
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We derive rigorous upper and lower bounds for the ground state entropy of the q-state Potts antiferromagnet on the honeycomb and triangular lattices. These bounds are quite restrictive, especially for large q. ∗email: [email protected] ∗∗email: [email protected] Nonzero ground state disorder and associated entropy, S0 6= 0, is an important subject in statistical mechan...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1993
ISSN: 0031-9007
DOI: 10.1103/physrevlett.71.1778