We investigate the phase diagrams of the spin-orbital d 9 KugelKhomskii model for a bilayer and a monolayer square lattice using the BethePeierlsWeiss method. For a bilayer we obtain valence bond phases with interlayer singlets, with alternating planar singlets, and two entangled spin-orbital phases, in addition to the antiferromagnetic and ferromagnetic order. Possibility of such entangled phases in a monolayer is under investigation at present.
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Brzezicki et al. (2012) studied this question.
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