Magnetic properties of a spin-1 triangular Ising system

Abstract

a b s t r a c tWe studied some magnetic behaviors of the Blume-Capel (BC) model in a site diluted triangular lattice by means of the effective-field theory (EFT) with correlations. The effects of the exchange interaction (J), crystal field (D), concentration (p) and temperature (T) on the magnetic properties of the spin-1 BC model in a triangular lattice, such as magnetization, susceptibility, phase diagram and hysteresis behaviors, are investigated in detail. The phase diagrams of the system are presented in two different planes. The tricritical point as well as the tetracritical and critical end special points are found to depend on the physical parameters of the system. Moreover, when the hysteresis behaviors of the system are examined, single and double hysteresis loops are observed for various values of the physical parameters. We show that the hysteresis loops have different coercive field points in which the susceptibility makes a peak at these points.

Random-anisotropy mixed-spin Ising on a triangular lattice

“…Two of which are antiparallel aligned, satisfying their antiferromagnetic interactions (𝐽 < 0), but the third will never achieve such alignment simultaneously with the two others. This phenomenon is known as magnetic frustration see [36] and their references. Furthermore, the mixed-spin Ising model on a triangular lattice, either in the ferrimagnetic or the antiferromagnetic case produces frustration and it strongly changes the critical behaviour.…”

The Kinetic Spin-1 Ising System on Triangular Lattice: the Effects of Crystal Field and Frequency of Oscillating External Magnetic Field

“…Therefore, there have been increasing numbers of works dealing with the Ising system on a triangular lattice in the very recently literature (see [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] and references therein). We should also Mehmet Ertaş mehmetertas@erciyes.edu.tr 1 Department of Physics, Erciyes University, 38039 Kayseri, Turkey mention that the spin-1 Ising model on triangular lattice has been also studied using the well-known methods in the equilibrium statistical physics, such as the position-space renormalization group methods [17,[38][39][40][41], finite-size scaling analysis [18], twospin cluster effective field theory (EFT) [19], Monte Carlo simulations [20][21][22][23] and EFT with correlation [24] In spite of these studies, in the best of our knowledge, the dynamic phase transitions and dynamic phase diagrams of kinetic Ising system on triangular lattice have not been investigated.…”

The investigation of the compensation temperature of ferrimagnetic systems

“…理 解 亚 铁 磁 系 统 的 磁 性 质 的 理 论 方 法 有 : 格 林 函 数 方 法 [4] 、 高 温 展 开 [5] 、 Oguchi 近 似 [6] 、 平 均 场 近 似 [7] 、 蒙 特 卡 罗 模 拟 [8] 、 有 效 场 近 似 [9] 等 . 模 型则有: 二维平方格子 [10] 、二维蜂巢格子 [11] 、三角 格子 [12] 、三维立方格子 [13] 等. 采用量子统计中的多体格林函数方法 [15] .…”