How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator

التفاصيل البيبلوغرافية
العنوان: How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator
المؤلفون: Gotfryd, Dorota, Paerschke, Ekaterina M., Chaloupka, Jiri, Oles, Andrzej M., Wohlfeld, Krzysztof
المصدر: Phys. Rev. Research 2, 013353 (2020)
سنة النشر: 2019
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Strongly Correlated Electrons
الوصف: The concept of the entanglement between spin and orbital degrees of freedom plays a crucial role in understanding 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 1D spin-orbital model with the '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 w.r.t. 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 can 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.
Comment: 16 pages, 8 figures; accepted in Physical Review Research
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevResearch.2.013353
URL الوصول: http://arxiv.org/abs/1911.12180
رقم الأكسشن: edsarx.1911.12180
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevResearch.2.013353