{"title":"Long range ordered, dimerized, large-D and Haldane phases in spin 1 chain compounds","authors":"O. Maximova, S. Streltsov, A. Vasiliev","doi":"10.1080/10408436.2020.1852911","DOIUrl":null,"url":null,"abstract":"Abstract In 1983, F. Duncan M. Haldane predicted a singlet ground state for isolated integer-spin one-dimensional antiferromagnets with low single-ion anisotropy D. Since then, a lot of species containing chains of integer spin ions were tested to check the basic conjecture on an energy gap separating the continuum of the excited states from the ground state. As a result of these studies, it has been established that there are numerous states competing with the Haldane phase, namely long-range ordered, dimerized, and large-D phases. The long-range magnetic order takes place due to sufficiently strong exchange interactions between adjacent chains. Dimerization results from the alternation of the exchange interactions within the chains. Both uniaxial and rhombic single-ion anisotropies can suppress the Haldane phase, which is robust only until some critical values. The choice between the competing phases depends also on exchange anisotropy. Excellent reviews on the basic results obtained during the first 20 years of investigation of these phenomena provided solid background for the future studies. Here, we present some developments in this field obtained over the next two decades of research on spin-1 chain systems.","PeriodicalId":55203,"journal":{"name":"Critical Reviews in Solid State and Materials Sciences","volume":"23 1","pages":"371 - 383"},"PeriodicalIF":8.1000,"publicationDate":"2020-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Critical Reviews in Solid State and Materials Sciences","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1080/10408436.2020.1852911","RegionNum":2,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 10
Abstract
Abstract In 1983, F. Duncan M. Haldane predicted a singlet ground state for isolated integer-spin one-dimensional antiferromagnets with low single-ion anisotropy D. Since then, a lot of species containing chains of integer spin ions were tested to check the basic conjecture on an energy gap separating the continuum of the excited states from the ground state. As a result of these studies, it has been established that there are numerous states competing with the Haldane phase, namely long-range ordered, dimerized, and large-D phases. The long-range magnetic order takes place due to sufficiently strong exchange interactions between adjacent chains. Dimerization results from the alternation of the exchange interactions within the chains. Both uniaxial and rhombic single-ion anisotropies can suppress the Haldane phase, which is robust only until some critical values. The choice between the competing phases depends also on exchange anisotropy. Excellent reviews on the basic results obtained during the first 20 years of investigation of these phenomena provided solid background for the future studies. Here, we present some developments in this field obtained over the next two decades of research on spin-1 chain systems.
1983年,F. Duncan M. Haldane预测了具有低单离子各向异性d的孤立的整数自旋一维反铁磁体的单重态基态。此后,人们测试了许多含有整数自旋离子链的种,以验证关于激发态连续体与基态之间存在能隙的基本猜想。作为这些研究的结果,已经确定存在许多与霍尔丹相竞争的状态,即远程有序相,二聚相和大d相。由于相邻链之间足够强的交换作用,产生了长程磁序。二聚化是由链内交换相互作用的交替引起的。单轴和斜方形单离子各向异性都能抑制霍尔丹相,但霍尔丹相只有在某些临界值之前是稳健的。竞争相之间的选择也取决于交换各向异性。对前20年对这些现象的研究所取得的基本结果进行了极好的综述,为今后的研究提供了坚实的背景。在这里,我们介绍了自旋-1链体系在未来二十年的研究中取得的一些进展。
期刊介绍:
Critical Reviews in Solid State and Materials Sciences covers a wide range of topics including solid state materials properties, processing, and applications. The journal provides insights into the latest developments and understandings in these areas, with an emphasis on new and emerging theoretical and experimental topics. It encompasses disciplines such as condensed matter physics, physical chemistry, materials science, and electrical, chemical, and mechanical engineering. Additionally, cross-disciplinary engineering and science specialties are included in the scope of the journal.