Spin-orbit coupling in $d^2$ ordered double perovskites

Abstract

We construct and analyze a microscopic model for insulating rock salt ordered double perovskites, with the chemical formula A${}_2$BB'O${}_6$, where the magnetic ion B' has a 4d${}^2$ or 5d${}^2$ electronic configuration and forms a face centered cubic (fcc) lattice. For these B' ions, the combination of the triply-degenerate antisymmetric two-electron orbital states and strong spin-orbit coupling forms local quintuplets with an effective spin moment $j=2$. Moreover, due to strongly orbital-dependent exchange, the effective spins have substantial biquadratic and bicubic interactions (fourth and sixth order in the spins, respectively). This leads, at the mean field level, to a rich ground state phase diagram which includes seven different phases: a uniform ferromagnetic phase with an ordering wavevector $\mathbf{p}=0$ and uniform magnetization along $[111]$ direction, four two-sublattice phases with an ordering wavevector $\mathbf{p}=2\pi (001)$ and two four-sublattice antiferromagnetic phases. Amongst the two-sublattice phases there is a quadrupolar ordered phase which preserves time reversal symmetry. Extending the mean field theory to finite temperatures, we find ten different magnetization processes with different magnetic thermal transitions. In particular, we find that thermal fluctuations stabilize the two-sublattice quadrupolar ordered phase in a large portion of phase diagram. Existing and possible future experiments are discussed in light of these theoretical predictions.

13 pages, 16 figures

References in corpus (8)

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• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Ferromagnetism in the Mott insulator Ba2NaOsO6
• Spin-orbit effects in Na${}_4$Ir${}_3$O${}_8$, a hyper-kagomé lattice antiferromagnet
• Gapless spin liquids on the three dimensional hyper-kagome lattice of Na${}_4$Ir${}_3$O${}_8$
• Possible ferro-spin nematic order in NiGa2S4
• Quadrupolar correlations and spin freezing in S = 1 triangular lattice antiferromagnets
• Unconventional spin freezing and fluctuations in the frustrated antiferromagnet NiGa2S4

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• Spin-Orbit Exciton in a Honeycomb Lattice Magnet CoTiO${}_3$: Revealing Link Between Rare Earth and Transition Metal Magnetism
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