{"title":"Kitaev materials","authors":"Simon Trebst, Ciarán Hickey","doi":"10.1016/j.physrep.2021.11.003","DOIUrl":null,"url":null,"abstract":"<div><p>In transition-metal compounds with partially filled 4<span><math><mi>d</mi></math></span> and 5<span><math><mi>d</mi></math></span> shells spin–orbit entanglement, electronic correlations, and crystal-field effects conspire to give rise to a variety of novel forms of topological quantum matter. This includes Kitaev materials — a family of spin–orbit assisted Mott insulators, in which local, spin–orbit entangled <span><math><mrow><mi>j</mi><mo>=</mo><mn>1</mn><mo>/</mo><mn>2</mn></mrow></math></span> moments form that are subject to dominant bond-directional Ising exchange interactions. On a conceptual level, Kitaev materials attract much interest for their potential for unconventional forms of magnetism, such as spin liquid physics in two- and three-dimensional lattice geometries or the formation of non-trivial spin textures. Experimentally, a number of Kitaev materials have been synthesized, which includes the honeycomb materials Na<span><math><msub><mrow></mrow><mrow><mi>2</mi></mrow></msub></math></span>IrO<span><math><msub><mrow></mrow><mrow><mi>3</mi></mrow></msub></math></span>, <span><math><mi>α</mi></math></span>-Li<span><math><msub><mrow></mrow><mrow><mi>2</mi></mrow></msub></math></span>IrO<span><math><msub><mrow></mrow><mrow><mi>3</mi></mrow></msub></math></span>, H<span><math><msub><mrow></mrow><mrow><mn>3</mn></mrow></msub></math></span>LiIr<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span>O<span><math><msub><mrow></mrow><mrow><mn>6</mn></mrow></msub></math></span>, and, most prominently, <span><math><mi>α</mi></math></span>-RuCl<span><math><msub><mrow></mrow><mrow><mi>3</mi></mrow></msub></math></span>, the triangular materials Ba<span><math><msub><mrow></mrow><mrow><mn>3</mn></mrow></msub></math></span>Ir<span><math><msub><mrow></mrow><mrow><mi>x</mi></mrow></msub></math></span>Ti<span><math><msub><mrow></mrow><mrow><mn>3</mn><mo>−</mo><mi>x</mi></mrow></msub></math></span>O<span><math><msub><mrow></mrow><mrow><mn>9</mn></mrow></msub></math></span>, as well as the three-dimensional hyper-honeycomb and stripy-honeycomb materials <span><math><mi>β</mi></math></span>-Li<span><math><msub><mrow></mrow><mrow><mi>2</mi></mrow></msub></math></span>IrO<span><math><msub><mrow></mrow><mrow><mi>3</mi></mrow></msub></math></span> and <span><math><mi>γ</mi></math></span>-Li<span><math><msub><mrow></mrow><mrow><mi>2</mi></mrow></msub></math></span>IrO<span><math><msub><mrow></mrow><mrow><mi>3</mi></mrow></msub></math></span>. We provide a short review of the current status of the theoretical and experimental exploration of these Kitaev materials.</p></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"950 ","pages":"Pages 1-37"},"PeriodicalIF":23.9000,"publicationDate":"2022-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"168","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics Reports","FirstCategoryId":"4","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0370157321004051","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 168
Abstract
In transition-metal compounds with partially filled 4 and 5 shells spin–orbit entanglement, electronic correlations, and crystal-field effects conspire to give rise to a variety of novel forms of topological quantum matter. This includes Kitaev materials — a family of spin–orbit assisted Mott insulators, in which local, spin–orbit entangled moments form that are subject to dominant bond-directional Ising exchange interactions. On a conceptual level, Kitaev materials attract much interest for their potential for unconventional forms of magnetism, such as spin liquid physics in two- and three-dimensional lattice geometries or the formation of non-trivial spin textures. Experimentally, a number of Kitaev materials have been synthesized, which includes the honeycomb materials NaIrO, -LiIrO, HLiIrO, and, most prominently, -RuCl, the triangular materials BaIrTiO, as well as the three-dimensional hyper-honeycomb and stripy-honeycomb materials -LiIrO and -LiIrO. We provide a short review of the current status of the theoretical and experimental exploration of these Kitaev materials.
期刊介绍:
Physics Reports keeps the active physicist up-to-date on developments in a wide range of topics by publishing timely reviews which are more extensive than just literature surveys but normally less than a full monograph. Each report deals with one specific subject and is generally published in a separate volume. These reviews are specialist in nature but contain enough introductory material to make the main points intelligible to a non-specialist. The reader will not only be able to distinguish important developments and trends in physics but will also find a sufficient number of references to the original literature.