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Simulation study on the magnetic order in the phason space in quasilttices of antiferromagnetic interactions

反铁磁相互作用准硅片相子空间磁序的模拟研究

基本信息

批准号：
13650717
负责人：
MATSUO Susumu
金额：
$ 2.18万
依托单位：
Nagoya University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2001
资助国家：
日本
起止时间：
2001 至 2003
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13650717/
关键词：
quasicrystals antiferromagnetic magnetic order simulation phason space フェリ磁性

项目摘要

Simulation calculations were performed for the investigation of the magnetic orders of Ising spins on a structure model of the icosahedral Zn-Mg-Ho quasicrystal assuming oscillating Ruderman-Kittel-Kasuya-Yosida-like interactions by the use of the simulated annealing method. Long-range magnetic orders were identified by sharp spots in magnetic diffraction calculations. A long-range antiferromagnetic order was found in the case of antiferromagnetic Interactions for the first and third nearest neighbors and ferromagnetic interactions for the second and fourth nearest neighbors. Interactions farther than the second nearest neighbors were necessary for the realization of the antiferromagnetic order extending over the whole system size. The long-range antiferromagnetic order was found to be a new type of order of subdivisions of the spin domains in the phason space, which does not realize in usual periodic crystals.A similar investigation was carried out on antiferromagnetic orders in a 2-dimensional Penrose lattice. Two kinds of antiferromagnetic orders were found in two cases of the interaction parameters. Both orders are found to conform to the local matching rule of arrows set originally on the lattice. The orders are interpreted as the orders of subdivisions of the spin domains in the phason space. The connectivity of the interactions were analyzed in the real space, and is found to be consistent with the long range orders over the whole system size. The consistency of the connectivity of the interactions is most adequately grasped in the phason space.Experimental studies were also performed on the structural and magnetic properties of related quasicrystals.

采用模拟退火法，在假设Ruderman-Kittel-Kasuya-Yosida类振荡相互作用的二十面体结构模型上，对伊辛自旋的磁序进行了模拟计算。在磁衍射计算中，通过尖锐的斑点来识别长程磁序。在第一近邻和第三近邻的反铁磁相互作用以及第二近邻和第四近邻的铁磁相互作用的情况下，发现了长程反铁磁有序。比第二近邻更远的相互作用是实现整个系统尺寸范围内的反铁磁有序所必需的。长程反铁磁有序是相子空间中自旋磁畴的一种新的细分有序，这在通常的周期晶体中是不存在的。对二维PenRose晶格中的反铁磁有序也进行了类似的研究。在两种情况下的相互作用参数中发现了两种反铁磁序。发现这两个顺序都符合最初在晶格上设置的箭头的局部匹配规则。这些顺序被解释为相子空间中自旋域的细分顺序。在真实空间中分析了相互作用的连通性，发现它们在整个系统尺寸上与长程有序是一致的。在相子空间中对相互作用的连通性的一致性进行了最充分的把握，并对相关准晶的结构和磁性进行了实验研究。