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Prog. Phys."],"published-print":{"date-parts":[[2024,2,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>We review the recent advances and current challenges in the field of strong spin-orbit coupled Kitaev materials, with a particular emphasis on the physics beyond the exactly-solvable Kitaev spin liquid point. To this end, we present a comprehensive overview of the key exchange interactions in candidate materials with a specific focus on systems featuring effective <jats:inline-formula>\n                     <jats:tex-math\/>\n                     <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:msub>\n                           <mml:mi>J<\/mml:mi>\n                           <mml:mrow>\n                              <mml:mrow>\n                                 <mml:mtext>eff<\/mml:mtext>\n                              <\/mml:mrow>\n                           <\/mml:mrow>\n                        <\/mml:msub>\n                        <mml:mo>=<\/mml:mo>\n                        <mml:mn>1<\/mml:mn>\n                        <mml:mrow>\n                           <mml:mo>\/<\/mml:mo>\n                        <\/mml:mrow>\n                        <mml:mn>2<\/mml:mn>\n                     <\/mml:math>\n                  \n                  <\/jats:inline-formula> magnetic moments. This includes, but not limited to, <jats:inline-formula>\n                     <jats:tex-math\/>\n                     <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mn>5<\/mml:mn>\n                        <mml:msup>\n                           <mml:mi>d<\/mml:mi>\n                           <mml:mn>5<\/mml:mn>\n                        <\/mml:msup>\n                     <\/mml:math>\n                  \n                  <\/jats:inline-formula> iridates, <jats:inline-formula>\n                     <jats:tex-math\/>\n                     <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mn>4<\/mml:mn>\n                        <mml:msup>\n                           <mml:mi>d<\/mml:mi>\n                           <mml:mn>5<\/mml:mn>\n                        <\/mml:msup>\n                     <\/mml:math>\n                  \n                  <\/jats:inline-formula> ruthenates and <jats:inline-formula>\n                     <jats:tex-math\/>\n                     <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mn>3<\/mml:mn>\n                        <mml:msup>\n                           <mml:mi>d<\/mml:mi>\n                           <mml:mn>7<\/mml:mn>\n                        <\/mml:msup>\n                     <\/mml:math>\n                  \n                  <\/jats:inline-formula> cobaltates. Our exploration covers the microscopic origins of these interactions, along with a systematic attempt to map out the most intriguing correlated regimes of the multi-dimensional parameter space. Our approach is guided by robust symmetry and duality transformations as well as insights from a wide spectrum of analytical and numerical studies. We also survey higher spin Kitaev models and recent exciting results on quasi-one-dimensional models and discuss their relevance to higher-dimensional models. Finally, we highlight some of the key questions in the field as well as future directions.<\/jats:p>","DOI":"10.1088\/1361-6633\/ad208d","type":"journal-article","created":{"date-parts":[[2024,1,19]],"date-time":"2024-01-19T17:26:24Z","timestamp":1705685184000},"page":"026502","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":69,"title":["Beyond Kitaev physics in strong spin-orbit coupled magnets"],"prefix":"10.1088","volume":"87","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5517-8389","authenticated-orcid":true,"given":"Ioannis","family":"Rousochatzakis","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9033-1860","authenticated-orcid":false,"given":"Natalia B","family":"Perkins","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8521-0821","authenticated-orcid":false,"given":"Qiang","family":"Luo","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8248-4461","authenticated-orcid":true,"given":"Hae-Young","family":"Kee","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"266","published-online":{"date-parts":[[2024,2,2]]},"reference":[{"key":"ropad208dbib1","doi-asserted-by":"publisher","first-page":"2","DOI":"10.1016\/j.aop.2005.10.005","volume":"321","author":"Kitaev","year":"2006","journal-title":"Ann. 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