Abstract
We study double-exchange models with itinerant t(2g) electrons in spinel and pyrochlore crystals. In both cases the localized spins form a network of corner-sharing tetrahedra. We show that the strong directional dependence of t(2g) orbitals leads to unusual Fermi surfaces that induce spin superstructures and noncoplanar orderings for a weak coupling between itinerant electrons and localized spins. Implications of our results to ZnV(2)O(4) and Cd(2)Os(2)O(7) are also discussed.
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