{"intvolume":" 2","month":"03","oa_version":"Published Version","abstract":[{"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.","lang":"eng"}],"ec_funded":1,"volume":2,"issue":"1","language":[{"iso":"eng"}],"file":[{"checksum":"1be551fd5f5583635076017d7391ffdc","file_id":"7610","content_type":"application/pdf","access_level":"open_access","relation":"main_file","date_created":"2020-03-23T10:18:38Z","file_name":"2020_PhysRevResearch_Gotfryd.pdf","date_updated":"2020-07-14T12:48:00Z","file_size":1436735,"creator":"dernst"}],"publication_status":"published","status":"public","tmp":{"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)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","_id":"7594","file_date_updated":"2020-07-14T12:48:00Z","department":[{"_id":"MiLe"}],"ddc":["530"],"date_updated":"2021-01-12T08:14:23Z","oa":1,"quality_controlled":"1","publisher":"American Physical Society","date_created":"2020-03-20T15:21:10Z","doi":"10.1103/PhysRevResearch.2.013353","date_published":"2020-03-20T00:00:00Z","publication":"Physical Review Research","day":"20","year":"2020","has_accepted_license":"1","project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"article_number":"013353","title":"How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator","article_processing_charge":"No","author":[{"last_name":"Gotfryd","full_name":"Gotfryd, Dorota","first_name":"Dorota"},{"last_name":"Paerschke","orcid":"0000-0003-0853-8182","full_name":"Paerschke, Ekaterina","id":"8275014E-6063-11E9-9B7F-6338E6697425","first_name":"Ekaterina"},{"last_name":"Chaloupka","full_name":"Chaloupka, Jiri","first_name":"Jiri"},{"first_name":"Andrzej M.","last_name":"Oles","full_name":"Oles, Andrzej M."},{"first_name":"Krzysztof","last_name":"Wohlfeld","full_name":"Wohlfeld, Krzysztof"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Gotfryd, Dorota, et al. “How Spin-Orbital Entanglement Depends on the Spin-Orbit Coupling in a Mott Insulator.” Physical Review Research, vol. 2, no. 1, 013353, American Physical Society, 2020, doi:10.1103/PhysRevResearch.2.013353.","short":"D. Gotfryd, E. Paerschke, J. Chaloupka, A.M. Oles, K. Wohlfeld, Physical Review Research 2 (2020).","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,” Physical Review Research, vol. 2, no. 1. American Physical Society, 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. Physical Review Research. 2020;2(1). doi:10.1103/PhysRevResearch.2.013353","apa":"Gotfryd, D., Paerschke, E., Chaloupka, J., Oles, A. M., & Wohlfeld, K. (2020). How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator. Physical Review Research. American Physical Society. https://doi.org/10.1103/PhysRevResearch.2.013353","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.” Physical Review Research. American Physical Society, 2020. https://doi.org/10.1103/PhysRevResearch.2.013353.","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."}}