{"volume":2,"day":"20","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_type":"original","oa":1,"abstract":[{"lang":"eng","text":"The concept of the entanglement between spin and orbital degrees of freedom plays a crucial role in our understanding of various phases and exotic ground states in a broad class of materials, including orbitally ordered materials and spin liquids. We investigate how the spin-orbital entanglement in a Mott insulator depends on the value of the spin-orbit coupling of the relativistic origin. To this end, we numerically diagonalize a one-dimensional spin-orbital model with Kugel-Khomskii exchange interactions between spins and orbitals on different sites supplemented by the on-site spin-orbit coupling. In the regime of small spin-orbit coupling with regard to the spin-orbital exchange, the ground state to a large extent resembles the one obtained in the limit of vanishing spin-orbit coupling. On the other hand, for large spin-orbit coupling the ground state can, depending on the model parameters, either still show negligible spin-orbital entanglement or evolve to a highly spin-orbitally-entangled phase with completely distinct properties that are described by an effective XXZ model. The presented results suggest that (i) the spin-orbital entanglement may be induced by large on-site spin-orbit coupling, as found in the 5d transition metal oxides, such as the iridates; (ii) for Mott insulators with weak spin-orbit coupling of Ising type, such as, e.g., the alkali hyperoxides, the effects of the spin-orbit coupling on the ground state can, in the first order of perturbation theory, be neglected."}],"publisher":"American Physical Society","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"file_date_updated":"2020-07-14T12:48:00Z","oa_version":"Published Version","has_accepted_license":"1","month":"03","doi":"10.1103/PhysRevResearch.2.013353","publication":"Physical Review Research","quality_controlled":"1","article_number":"013353","date_published":"2020-03-20T00:00:00Z","department":[{"_id":"MiLe"}],"intvolume":"         2","date_updated":"2021-01-12T08:14:23Z","article_processing_charge":"No","status":"public","file":[{"file_name":"2020_PhysRevResearch_Gotfryd.pdf","file_id":"7610","access_level":"open_access","creator":"dernst","date_updated":"2020-07-14T12:48:00Z","date_created":"2020-03-23T10:18:38Z","file_size":1436735,"relation":"main_file","content_type":"application/pdf","checksum":"1be551fd5f5583635076017d7391ffdc"}],"citation":{"ieee":"D. Gotfryd, E. Paerschke, J. Chaloupka, A. M. Oles, and K. Wohlfeld, “How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator,” <i>Physical Review Research</i>, vol. 2, no. 1. American Physical Society, 2020.","short":"D. Gotfryd, E. Paerschke, J. Chaloupka, A.M. Oles, K. Wohlfeld, Physical Review Research 2 (2020).","ama":"Gotfryd D, Paerschke E, Chaloupka J, Oles AM, Wohlfeld K. How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator. <i>Physical Review Research</i>. 2020;2(1). doi:<a href=\"https://doi.org/10.1103/PhysRevResearch.2.013353\">10.1103/PhysRevResearch.2.013353</a>","apa":"Gotfryd, D., Paerschke, E., Chaloupka, J., Oles, A. M., &#38; Wohlfeld, K. (2020). How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator. <i>Physical Review Research</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevResearch.2.013353\">https://doi.org/10.1103/PhysRevResearch.2.013353</a>","chicago":"Gotfryd, Dorota, Ekaterina Paerschke, Jiri Chaloupka, Andrzej M. Oles, and Krzysztof Wohlfeld. “How Spin-Orbital Entanglement Depends on the Spin-Orbit Coupling in a Mott Insulator.” <i>Physical Review Research</i>. American Physical Society, 2020. <a href=\"https://doi.org/10.1103/PhysRevResearch.2.013353\">https://doi.org/10.1103/PhysRevResearch.2.013353</a>.","mla":"Gotfryd, Dorota, et al. “How Spin-Orbital Entanglement Depends on the Spin-Orbit Coupling in a Mott Insulator.” <i>Physical Review Research</i>, vol. 2, no. 1, 013353, American Physical Society, 2020, doi:<a href=\"https://doi.org/10.1103/PhysRevResearch.2.013353\">10.1103/PhysRevResearch.2.013353</a>.","ista":"Gotfryd D, Paerschke E, Chaloupka J, Oles AM, Wohlfeld K. 2020. How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator. Physical Review Research. 2(1), 013353."},"title":"How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator","type":"journal_article","year":"2020","author":[{"full_name":"Gotfryd, Dorota","first_name":"Dorota","last_name":"Gotfryd"},{"id":"8275014E-6063-11E9-9B7F-6338E6697425","orcid":"0000-0003-0853-8182","last_name":"Paerschke","first_name":"Ekaterina","full_name":"Paerschke, Ekaterina"},{"full_name":"Chaloupka, Jiri","last_name":"Chaloupka","first_name":"Jiri"},{"first_name":"Andrzej M.","last_name":"Oles","full_name":"Oles, Andrzej M."},{"last_name":"Wohlfeld","first_name":"Krzysztof","full_name":"Wohlfeld, Krzysztof"}],"publication_status":"published","ddc":["530"],"issue":"1","language":[{"iso":"eng"}],"project":[{"grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020"}],"ec_funded":1,"_id":"7594","date_created":"2020-03-20T15:21:10Z"}