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Open AccessArticle

Evolution of Spin-Orbital Entanglement with Increasing Ising Spin-Orbit Coupling

1
Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, ul. Pasteura 5, PL-02093 Warsaw, Poland
2
Institute of Theoretical Physics, Jagiellonian University, Profesora Stanisława ojasiewicza 11, PL-30348 Krakow, Poland
3
Institute of Science and Technology Austria, Am Campus 1, A-3400 Klosterneuburg, Austria
4
Max Planck Institute for Solid State Research, Heisenbergstrasse 1, D-70569 Stuttgart, Germany
*
Author to whom correspondence should be addressed.
Condens. Matter 2020, 5(3), 53; https://doi.org/10.3390/condmat5030053
Received: 17 July 2020 / Revised: 13 August 2020 / Accepted: 23 August 2020 / Published: 26 August 2020
(This article belongs to the Special Issue Quantum Complex Matter 2020)
Several realistic spin-orbital models for transition metal oxides go beyond the classical expectations and could be understood only by employing the quantum entanglement. Experiments on these materials confirm that spin-orbital entanglement has measurable consequences. Here, we capture the essential features of spin-orbital entanglement in complex quantum matter utilizing 1D spin-orbital model which accommodates SU(2)⊗SU(2) symmetric Kugel-Khomskii superexchange as well as the Ising on-site spin-orbit coupling. Building on the results obtained for full and effective models in the regime of strong spin-orbit coupling, we address the question whether the entanglement found on superexchange bonds always increases when the Ising spin-orbit coupling is added. We show that (i) quantum entanglement is amplified by strong spin-orbit coupling and, surprisingly, (ii) almost classical disentangled states are possible. We complete the latter case by analyzing how the entanglement existing for intermediate values of spin-orbit coupling can disappear for higher values of this coupling. View Full-Text
Keywords: spin-orbital entanglement; spin-orbit coupling; product state; Mott insulator; antiferromagnet; ferromagnet; Kugel-Khomskii model; exact diagonalization; entanglement entropy spin-orbital entanglement; spin-orbit coupling; product state; Mott insulator; antiferromagnet; ferromagnet; Kugel-Khomskii model; exact diagonalization; entanglement entropy
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MDPI and ACS Style

Gotfryd, D.; Pärschke, E.; Wohlfeld, K.; Oleś, A.M. Evolution of Spin-Orbital Entanglement with Increasing Ising Spin-Orbit Coupling. Condens. Matter 2020, 5, 53. https://doi.org/10.3390/condmat5030053

AMA Style

Gotfryd D, Pärschke E, Wohlfeld K, Oleś AM. Evolution of Spin-Orbital Entanglement with Increasing Ising Spin-Orbit Coupling. Condensed Matter. 2020; 5(3):53. https://doi.org/10.3390/condmat5030053

Chicago/Turabian Style

Gotfryd, Dorota; Pärschke, Ekaterina; Wohlfeld, Krzysztof; Oleś, Andrzej M. 2020. "Evolution of Spin-Orbital Entanglement with Increasing Ising Spin-Orbit Coupling" Condens. Matter 5, no. 3: 53. https://doi.org/10.3390/condmat5030053

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