Spin-Orbital Entanglement Emerging from Frustration in the Kugel-Khomskii Model

Abstract

We investigate the zero-temperature phase diagrams of the bilayer square-lattice Kugel-Khomskii ($d^9$) model involving entangled and singlet phases using mean-field cluster approach. This diagram includes interlayer singlet phase observed in fluoride K${}_3$Cu${}_2$F${}_7$ and exotic entangled spin-orbital phases. For a monolayer case, realized in K${}_2$CuF${}_4$, we perform similar calculations in finite temperature and show that the alternating-orbital ferromagnet decays first to an entangled uniform ferromagnet and then to a paramagnetic phase. Published in: J. Phys.: Conf. Series 391, 012085 (2012).

4 pages, 2 figures, Proceedings of SCES11, Cambridge (2011)

References in corpus (5)

• Spin-Orbital Entanglement and Violation of the Goodenough-Kanamori Rules
• Frustration and entanglement in the $t_{2g}$ spin--orbital model on a triangular lattice: valence--bond and generalized liquid states
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Cited by in corpus (2)

• Exotic spin orders driven by orbital fluctuations in the Kugel-Khomskii model
• Locally tunable disorder and entanglement in the one-dimensional plaquette orbital model