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Acta Physica Sinica

MONTE CARLO STUDY OF THE PHASE DIAGRAM OF ISING FERROMAGNET WITH MIXED SPINS OF S=l/2 AND S=l WITH A CRYSTAL FIELD INTERACTION ON THE HONEYCOMB LATTICE

ZHANG GUO-MING, YANG CHUAN-ZHANG, 苏州大学物理系,苏州215006

Published Jan 1, 1993• 1 citation
Publisher

Abstract

The single-spin-flip Metropolis-Monte-Carlo algorithm is applied to the study of phase diagram of Ising ferromagnet with mixed spins of S = l/2 and S = 1 with a crystal field interaction on the honeycomb lattice. The phase diagram we obtained is very close to the exact solutions and better than the results of effective field theory with correlations. All these make us arrixe the conclusion that the Metropolis Monte Carlo algorithm can also be used to study the mixed-spin model.

DOI
10.7498/aps.42.987

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The single-spin-flip Metropolis-Monte-Carlo algorithm is applied to the study of phase diagram of Ising ferromagnet with mixed spins of S = l/2 and S = 1 with a crystal field interaction on the honeycomb lattice. The phase diagram we obtained is very close to the exact solutions and better than the results of effective field theory with correlations. All these make us arrixe the conclusion that the Metropolis Monte Carlo algorithm can also be used to study the mixed-spin model.
The single-spin-flip Metropolis Monte Carlo algorithm is applied to an Ising ferromagnet with mixed spins of S=1/2 and S=1 and a crystal-field interaction. The critical temperatures and exponents both in the absence and presence of the crystal-field interaction are investigated with finite-size scaling theory. The critical temperature that we obtained in zero crystal field is very close to the high-temperature series-expansion result. The finite-size scaling results for the critical exponents yield the two-dimensional Ising-model values, which are in good agreement with those suggested by the universality hypothesis. The phase diagram of this model is obtained and comparisons are made with other approximate methods when available.
The Ising model on the honeycomb lattice with spins of magnitudes 1/2 and s with random exchange constant and random uniaxial anisotropy is considered. The two cases are studied separately, and in both cases binary annealed distributions of the random parameters are considered. An exact solution is obtained by mapping the model onto the uniform spin 1/2 Ising model on the triangular lattice, and the transition temperature is determined as a function of the parameters for arbitrary s. Explicit results are presented for s=1 and s=3/2, and it is shown that some critical parameters, surprisingly, are not universal.
The phase transition of a random mixed-bond Ising ferromagnet on a cubic lattice model is studied both numerically and analytically. In this work, we use the Cluster algorithms of Wolff and Glauber to simulate the dynamics of the system. We obtained the thermodynamic quantities such as magnetization, susceptibility, and specific heat. Our results were compared with those obtained using a new technique in effective field theory that employs similar probability distribution within the framework of two-site clusters
The two-dimensional Baxter-Wu model with spin-1, in the presence of a crystal field, is studied by using Monte Carlo simulations. The standard single-spin-flip Metropolis algorithm is used to generate the configurations from which the order parameter, specific heat and magnetic susceptibility are measured. Single histogram techniques are used to get the results close to the phase transitions. The finite-size scaling procedure is employed in order to obtain the critical behavior. The simulations have shown that the critical exponents are different from the spin-1/2 case and are crystal field dependent.
Using the Monte Carlo Simulation (MCS) method combined with the Metropolis algorithm, we explore the magnetic properties of a two-dimensional (2D) spin system with spins 1, 2 and 3. The adapted simulation to the Ising model aims to study the impact of the correction term a of the interaction with second neighbors and the crystal field D on the critical temperature [Formula: see text] of the 2D anisotropic square lattice for different integer values of spins. The obtained results demonstrate that the critical temperature [Formula: see text] is significantly affected by the competing interactions between the anisotropy parameter, second-neighbor interaction and the crystal field. The considered model exhibits a critical phase transition regardless of the spin S value where the critical temperature increases with the value of S. Note that this phase transition occurs under the condition [Formula: see text]. Moreover, the obtained results show that the complex interactions give rise to a variety of phase diagrams, thereby revealing the richness of possible magnetic behaviors in the studied system.
Abstract The ferrimagnetic mixed spin-1/2 and spin-5/2 Ising model with a crystal field interaction in the absence and presence of a longitudinal magnetic field on a three-dimensional cubic lattice is studied within the framework both of the mean-field approximation (MFA) and Monte Carlo simulation (MCS). Using the MFA, we have shown the phase diagram of the model for zero magnetic field in the (anisotropy, temperature) plane in which the system exhibits first- and second-order phase transitions and critical end-points. Also, we have used the standard MCS to confirm the previous results; we have presented the temperature dependence of the sublattice and total magnetizations for different values of anisotropy in order to determine the phase diagram of the model in the absence of a longitudinal magnetic field. In addition, the influence of this last field on the magnetic properties of the model is investigated and discussed.