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Journal Article | FZJ-2020-03814 |
; ;
2020
Woodbury, NY
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Please use a persistent id in citations: http://hdl.handle.net/2128/26678 doi:10.1103/PhysRevB.102.035113
Abstract: The origin of orbital order in correlated transition-metal compounds is strongly debated. For the paradigmatic $e_g$ systems $KCuF_3$ and $LaMnO_3$, it has been shown that the electronic Kugel'-Khomskii mechanism alone is not sufficient to drive the orbital-ordering transition up to the high temperatures at which it is experimentally observed. In the case of $t_{2g}$ compounds, however, the role played by the superexchange interaction remains unclear. Here we investigate this question for two representative systems, the $3dt^1_{2g}$ Mott insulators $LaTiO_3$ and $YTiO_3$. We show that the Kugel'-Khomskii superexchange transition temperature $T_{KK}$ is unexpectedly large, comparable to the value for the $e^3_g$ fluoride $KCuF_3$. By deriving the general form of the orbital superexchange Hamiltonian for the $t^1_{2g}$ configuration, we show that the $GdFeO_3$-type distortion plays a key part in enhancing $T_{KK}$ to about 300 K. Still, orbital ordering above 300 K can be ascribed only to the presence of a static crystal-field splitting.
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