Magnetic properties of the spin-3/2 Blume-Capel model on a hexagonal Ising nanowire
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RDER, DISORDER, AND PHASE TRANSITION IN CONDENSED SYSTEM
Magnetic Properties of the Spin-3/2 Blume–Capel Model on a Hexagonal Ising Nanowire1 Y. Kocakaplana and M. Ertaşb,* a
Graduate School of Natural and Applied Sciences, Erciyes University, Kayseri, 38039 Turkey b Department of Physics, Erciyes University, Kayseri, 38039 Turkey * e-mail: [email protected] Received December 18, 2014
Abstract—Magnetic properties, such as magnetizations, internal energy, specific heat, entropy, Helmholtz free energy, and phase diagrams of the spin-3/2 Blume–Capel model on a hexagonal Ising nanowire with core–shell structure are studied by using the effective-field theory with correlations. The hysteresis behaviors of the system are also investigated and the effects of Hamiltonian parameters on hysteresis behaviors are discussed in detail. The obtained results are compared with some theoretical results and a qualitatively good agreement is found. DOI: 10.1134/S1063776115100118
1. INTRODUCTION The Blume–Capel model is a spin-1 Ising model with a bilinear (J) and a single-ion (D) potential that was originally proposed by Blume [1] and Capel [2] independently to study magnetic systems. The spin3/2 Ising system was first introduced in [3], as long ago as 1972, to explain magnetic and crystallographic phase transitions in some rare-earth compounds such as DyVO4 [4, 5], and then extended to describe tricritical properties in ternary f luid mixtures (ethanol–water–carbon–dioxide) [6]. Among various spin Ising systems, the spin-3/2 Ising system has gained much attention in the last years, and although the model was introduced about 40 years ago, its equilibrium behaviors are still actively investigated, with different effects being considered. Many methods have been used in discussing the equilibrium properties of the spin-3/2 Ising system, such as the effective field theory with corrections (EFT) [7–10], the cluster variation method [11], Monte Carlo (MC) simulation [12, 13], renormalization group technique [14], and mean-field theory (MFT) [15–17], and so on. On the other hand, it is well known that splendid and enormous achievements in the technologies and experimental techniques have recently enabled the production of nanostructures such as nanotubes, nanowires, nanocubes, nanorods, etc. Theoretically, magnetic properties of magnetic behaviors of the spin-1/2 or spin-1 nanostructure Ising system have been investigated successfully by adopting a core– 1 The article is published in the original.
shell structure of the Ising systems. They have been investigated by means of various techniques such as MFT, EFT with correlations, MC simulations, etc. (see [18–29] and the references therein). Moreover, some dynamic magnetic properties of nanostructure Ising systems have been investigated for spin-1/2 or spin-1 [30–33]. Despite these studies, the equilibrium properties of the nanostructure Ising systems have not been investigated equally thoroughly for higher-spin models; there has been only one investigation, to our knowledge, of t
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