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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 and 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, vol.~2, No~1, p.~1-15. ISSN~2643-1564. Available from: https://dx.doi.org/10.1103/PhysRevResearch.2.013353.
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