منابع مشابه
The ferro / antiferromagnetic q - state Potts model
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 کاملAntiferromagnetic 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.
متن کاملImproved lower bounds on the ground-state entropy of the antiferromagnetic Potts model.
We present generalized methods for calculating lower bounds on the ground-state entropy per site, S(0), or equivalently, the ground-state degeneracy per site, W=e(S(0)/k(B)), of the antiferromagnetic Potts model. We use these methods to derive improved lower bounds on W for several lattices.
متن کاملOn the low-temperature ordering of the 3D antiferromagnetic three-state Potts model
The antiferromagnetic three-state Potts model on the simple-cubic lattice is studied using Monte Carlo simulations. The ordering in a medium temperature range below the critical point is investigated in detail. Two di erent regimes have been observed: The so-called broken sublattice-symmetry phase dominates at su ciently low temperatures, while the phase just below the critical point is charact...
متن کاملRotationally symmetric ordered phase in the three-state antiferromagnetic Potts model.
We investigate the three-state antiferromagnetic Potts model on a simple cubic lattice with a cluster flipping Monte Carlo simulation algorithm in the temperature region below the transition into disorder at Tc1. We find both the well established broken-sublattice-symmetry (BSS) phase at low temperature and a new, rotationally symmetric phase at higher temperature, but below Tc1. The properties...
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ژورنال
عنوان ژورنال: Modern Physics Letters B
سال: 2011
ISSN: 0217-9849,1793-6640
DOI: 10.1142/s0217984911025766