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Inhomogeneous Ising models with diagonal structure on a square lattice

Zeitschrift f�r Physik B Condensed Matter, 1981
We study inhomogeneous Ising models on a square lattice. The nearest neighbour couplings are allowed to be of arbitrary strength and sign such that the coupling distribution is translationally invariant in diagonal direction. We calculate the partition function and free energy for a random coupling distribution of finite period. The phase transition is
W. F. Wolff, J. Zittartz
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Damage spreading in the fully frustrated square-lattice Ising model

Physica A: Statistical Mechanics and its Applications, 1997
Abstract The evolution of the Hamming distance (damage) for the fully frustrated Ising model on the square lattice is analyzed numerically within both Glauber and heat-bath dynamic frameworks. The chaotic regime, for which an infinitesimal initial perturbation propagates, is found at all temperatures in Glauber dynamics.
Amadeu A. Júnior, Fernando D. Nobre
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Random field Ising model on a semi-decorated square lattice

Physica A: Statistical Mechanics and its Applications, 1989
Abstract We investigate an Ising model in correlated random fields on a semi-decorated square lattice in connection with the random field problem. We map the system into the one solved by Longa and show that the system has a critical behaviour. The explicit calculation is given for the critical temperature when the probability density of the random ...
T. Horiguchi, L.L. Gonçalves
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Frustration in the Ising model on a decorated square lattice

Physical Review E
In this paper, we performed the comprehensive studies of magnetic frustration properties in the Ising model on a decorated square lattice in the framework of an exact analytical approach based on the Kramers-Wannier transfer matrix method. The assigned challenge consisted in finding rigorous formulas for residual entropies of all possible cases of ...
F. A. Kassan-Ogly, A. V. Zarubin
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Square lattice variational approximations applied to the Ising model

Journal of Statistical Physics, 1979
The variational method developed by Baxter is applied to the zero-field Ising model on the square lattice. The problem is simplified to that of solving a relatively small system of nonlinear equations. The estimates to the spontaneous magnetization and the critical temperature from the sequence of variational approximations are obtained.
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Exact differential renormalization group equations for Ising models on square lattices

Physica A: Statistical Mechanics and its Applications, 1982
The differential real space renormalization theory of Hilhorst et al. is applied to Ising models on square lattices with nearest-neighbour interactions only. The renormalization flow equations for these two interaction parameters contain two auxiliary parameters; these parameters have to be determined by solving two additional equations, one partial ...
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The Shift Exponent of the Layered Square-Lattice Ising Models

Journal of the Physical Society of Japan, 1996
Layered square-lattice ferromagnetic Ising models (∞×∞× n lattices) are studied by the Monte Carlo simulation with the periodic boundary condition( n = 3 ∼8) and with the free boundary condition ( n = 4 ∼14) in the n -direction. The results show the dimensionality crossover from the square-lattice Ising model to the simple-cubic Ising model.
Hidetsugu Kitatani   +2 more
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The square lattice Ising model with frustrated nearest-neighbour interaction

Physica B: Condensed Matter, 1998
Abstract Using mean-field approximation (MFA), Lipowski–Suzuki method (LS) and Finite-size scaling based on transfer matrix calculations (TMFSS), we investigated the phase diagram of a two-dimentional spin 1/2 Ising model with a frustrated nearest-neighbour interaction.
M. Badehdah, A. Benyoussef, M. Touzani
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Layered inhomogeneous Ising models with frustration on a square lattice

Zeitschrift f�r Physik B Condensed Matter, 1981
Generalizing a previous treatment we study inhomogeneous Ising models on a square lattice. In particular, we consider models with a layered structure, i.e. translational invariance in the horizontal direction. Otherwise, couplings are allowed to be of arbitrary strength and sign.
W. F. Wolff, P. Hoever, J. Zittartz
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Multiple re-entrant phenomenon on decorated square lattice Ising models

Journal of Physics A: Mathematical and General, 1990
The re-entrant phenomenon is studied in the antiferromagnetic Ising model on a square lattice with the bonds decorated with two and three-coupled spin 1/2 variables (dimer and trimer) in two different scenarios. In the first one ferromagnetic competing decorated bonds are anneal diluted in the system.
R J Vasconcelos dos Santos   +2 more
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