The investigation of the critical phenomena of the competing spin systems with the higher order spin interaction on the bulk and thin film
研究体膜和薄膜上高阶自旋相互作用的竞争自旋系统的临界现象
基本信息
- 批准号:15540378
- 负责人:
- 金额:$ 2.37万
- 依托单位:
- 依托单位国家:日本
- 项目类别:Grant-in-Aid for Scientific Research (C)
- 财政年份:2003
- 资助国家:日本
- 起止时间:2003 至 2004
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
The ANNNI and A3NNI models are familiar as the spin systems with the competition between interactions with different range (for example, 1st, 2nd, and 3rd nearest-neighbors). In this study, we consider the S=1 ANNNI and A3NNI models with the higher order spin interaction. Using the analytical methods and the Monte Carlo simulation (MC), we investigate the role and importance of the higher order spin interaction and the spin quantum number in the competing spin systems, theoretically.1) The extended A3NNI modelWe propose the extended A3NNI model with the higher order spin interaction as model explaining the phase transition from the k=1/3 modulated structure to the antiferromagnetic structure in UNi2Si2. The temperature dependence of the Fourier coefficients in the Modulated structures are calculated by MC, and we show the appearance of this phase transition.2) The extended ANNNI model on the thin filmUsing MC, the magnetic phase diagram of S=1 ANNNI model with the 3-site 4-spin interaction is obtained, and the finite-size scaling shows that 4 phase transition lines are the second order phase transition. These results suggest the existence of the tetracritical point.3) The extended ANNNI model with alternating intralayer interactionsUsing MC with non-equilibrium relaxation method and the finite-size scaling, we calculated critical temperatures and critical exponents. The obtained exponents show that the ordinary universality does not hold in this model, and suggests that the weak universality holds.
ANNNI和A3NNI模型被认为是具有不同距离(例如,第一近邻、第二近邻和第三近邻)相互作用竞争的自旋系统。在本研究中,我们考虑了具有高阶自旋相互作用的S=1ANNNI和A3NNI模型。利用解析方法和蒙特卡罗模拟方法,从理论上研究了高阶自旋相互作用和自旋量子数在竞争自旋系统中的作用和重要性。1)扩展的A3NNI模型我们提出了以高阶自旋相互作用为模型的扩展A3NNI模型,解释了UNi2Si2从k=1/3调制结构到反铁磁结构的相变。用MC计算了调制结构中傅里叶系数随温度的变化关系,并给出了这种相变的现象。2)利用MC得到了具有3位4自旋相互作用的S=1 ANNNI模型的磁相图,有限尺寸标度表明4条相变线为二级相变。3)具有交替层内相互作用的扩展的ANNNI模型用MC非平衡松弛方法和有限尺寸标度法计算了临界温度和临界指数。得到的指数表明,普通普适性在该模型中不成立,并表明弱普适性成立。
项目成果
期刊论文数量(18)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Partially disordered states of mixed-spin axial next-nearest-neighbor Ising model
混合自旋轴向次近邻伊辛模型的部分无序态
- DOI:
- 发表时间:2004
- 期刊:
- 影响因子:0
- 作者:T.Kasama;Y.Muraoka;T.Idogaki
- 通讯作者:T.Idogaki
Partially disordered states of the three-dimensional ANNNI model
三维 ANNNI 模型的部分无序状态
- DOI:
- 发表时间:2003
- 期刊:
- 影响因子:0
- 作者:T.Kasama;T.Shimamoto;Y.Muraoka;K.Okada;T.Idogaki
- 通讯作者:T.Idogaki
Monte Carlo study of the partially disordered states of mixed-spin axial next-nearest-neighbor Ising model
混合自旋轴向次近邻伊辛模型部分无序态的蒙特卡罗研究
- DOI:
- 发表时间:2004
- 期刊:
- 影响因子:0
- 作者:T.Kasama;Y.Muraoka;T.Idogaki
- 通讯作者:T.Idogaki
The critical properties of phase transition in the three-dimensional extended ANNNI model
三维扩展ANNNI模型中相变的关键性质
- DOI:
- 发表时间:2005
- 期刊:
- 影响因子:0
- 作者:Y.Muraoka;T.Kasama;T.Idogaki
- 通讯作者:T.Idogaki
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