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@article{1692997, author = {Gotfryd, Dorota and Pärschke, Ekaterina M. and Chaloupka, Jiří and Oleś, Andrzej M. and Wohlfeld, Krzysztof}, article_location = {College Park}, article_number = {1}, doi = {http://dx.doi.org/10.1103/PhysRevResearch.2.013353}, keywords = {Entanglement entropy; Orbital order; Spin-orbit coupling; Exact diagonalization}, language = {eng}, issn = {2643-1564}, journal = {Physical Review Research}, title = {How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator}, url = {https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.013353}, volume = {2}, year = {2020} }
TY - JOUR ID - 1692997 AU - Gotfryd, Dorota - Pärschke, Ekaterina M. - Chaloupka, Jiří - Oleś, Andrzej M. - Wohlfeld, Krzysztof PY - 2020 TI - How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator JF - Physical Review Research VL - 2 IS - 1 SP - 1-15 EP - 1-15 PB - American Physical Society SN - 26431564 KW - Entanglement entropy KW - Orbital order KW - Spin-orbit coupling KW - Exact diagonalization UR - https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.013353 L2 - https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.013353 N2 - 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. ER -
GOTFRYD, Dorota, Ekaterina M. PÄRSCHKE, Jiří CHALOUPKA, Andrzej M. OLE$\backslash$'S a Krzysztof WOHLFELD. How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator. \textit{Physical Review Research}. College Park: American Physical Society, 2020, roč.~2, č.~1, s.~1-15. ISSN~2643-1564. Dostupné z: https://dx.doi.org/10.1103/PhysRevResearch.2.013353.
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