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A quite unusual diffuse scattering phenomenology was observed in thesingle-crystal X-ray diffraction pattern of cubic perovskite BMT($\mathrm{BaMg}_{1/3}\mathrm{Ta}_{2/3}\mathrm{O}_3$). The intensity of thescattering is parametrized as a set of cube-like objects located at the centersof reciprocal space unit cells, resembling very broad and cubic-shaped(1/2,1/2,1/2)-satellites. BMT belongs to perovskites of formulaAB$'_{1/3}$B$"_{2/3}$O$_{3}$ (A=Mg, B$'=$Ta, B$"=$Mg). The cubes of theintensity can be attributed to the partial correlations of the occupancies ofthe B site. The pair correlation function is the Fourier transform of thediffuse scattering intensity and the latter's idealized form yields the unusualproperty of a power-law correlation decay with distance. Up to now this isobserved only in a few exotic instances of magnetic order or nematic crystals.Therefore it cannot be classified as a short-range order phenomenon, as in mostsituations originating diffuse scattering. A Monte-Carlo search inconfiguration space yielded solutions that reproduce faithfully the observeddiffuse scattering. Analysis of the results in terms of the electrostaticenergy and the entropy point to this phase of BMT as a metastable state,kinetically locked, which could be the equilibrium state just below the meltingpoint.

Cube-shape diffuse scattering and the ground state of $\mathrm{BaMg}_{1/3}\mathrm{Ta}_{2/3} \mathrm{O}_3$