Improved Phase Diagrams of Ashkin-Teller Model
نویسندگان
چکیده
منابع مشابه
N-color Ashkin-Teller model
shows nonuniversal critical behavior in two dimensions in the neighborhood of K4 =0. To see if this behavior persists for N & 2 we perform a first-order-perturbation expansion around the decoupling point in two dimensions. As an aid in interpreting the results of this perturbation expansion we have determined the phase diagram of the system through mean-field theory and Monte Carlo studies in 1...
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Assuming a continuous dependence of the criticality on the energy parameters, it is conjectured that the Ashkin-Teller model has in general two phase transitions. The two critical points coalesce into a single one when the two middle energies in the model are degenerate. Some 30 years ago Ashkin and Teller (1943) introduced a lattice statistical model, now known as the Ashkin-Teller (AT) model,...
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We show that a class of spin models, containing the Ashkin–Teller model, admits a generalized random–cluster (GRC) representation. Moreover we show that basic properties of the usual representation, such as FKG inequalities and comparison inequalities, still hold for this generalized random–cluster model. Some elementary consequences are given. We also consider the duality transformations in th...
متن کاملA Cluster Method for the Ashkin–Teller Model
A cluster Monte Carlo algorithm for the Ashkin-Teller (AT) model is constructed according to the guidelines of a general scheme for such algorithms. Its dynamical behaviour is tested for the square lattice AT model. We perform simulations on the line of critical points along which the exponents vary continuously, and find that critical slowing down is significantly reduced. We find continuous v...
متن کامل1 A p - Spin Interaction Ashkin - Teller Spin - Glass Model
A p-spin interaction Ashkin-Teller spin glass, with three independent Gaussian probability distributions for the exchange interactions, is studied by means of the replica method. A simple phase diagram is obtained within the replica-symmetric approximation , presenting an instability of the paramagnetic solution at low temperatures. The replica-symmetry-breaking procedure is implemented and a r...
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ژورنال
عنوان ژورنال: Acta Physica Polonica A
سال: 1997
ISSN: 0587-4246,1898-794X
DOI: 10.12693/aphyspola.92.453