Dipolar and quadrupolar correlations in the $5d^2$ Re-based double perovskites Ba$_2$YReO$_6$ and Ba$_2$ScReO$_6$

Double perovskites containing heavy transition metal ions are an important family of compounds for the study of the interplay between electron correlation and spin-orbit coupling. Here, by combining magnetic susceptibility, heat capacity, and neutron scattering measurements, we investigate the dipolar and quadrupolar correlations in two prototype rhenium-based double perovskite compounds, Ba $_{2}$ YReO $_{6}$ and Ba $_{2}$ ScReO $_{6}$ . A type-I dipolar antiferromagnetic ground state with a propagation vector $q = (0, 0, 1)$ is observed in both compounds. At temperatures above the magnetic transitions, a quadrupolar ordered phase is identified. Weak spin excitations, which are gapped at low temperatures and softened in the correlated paramagnetic phase, are explained using a minimal model that considers both the dipolar and quadrupolar interactions. At larger wavevectors, we observe dominant phonon excitations that are well described by density functional calculations.

Dipolar and quadrupolar correlations in the $5 d^{2}$ Re-based double perovskites Ba $_{2}$ YReO $_{6}$ and Ba $_{2}$ ScReO $_{6}$

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Dipolar and quadrupolar correlations in the $5 d^{2}$ Re-based double perovskites Ba $_{2}$ YReO $_{6}$ and Ba $_{2}$ ScReO $_{6}$

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Dipolar and quadrupolar correlations in the 5d25d2 Re-based double perovskites Ba22​YReO66​ and Ba22​ScReO66​

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Dipolar and quadrupolar correlations in the 5d25d2 Re-based double perovskites Ba22​YReO66​ and Ba22​ScReO66​

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Dipolar and quadrupolar correlations in the $5 d^{2}$ Re-based double perovskites Ba $_{2}$ YReO $_{6}$ and Ba $_{2}$ ScReO $_{6}$

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Dipolar and quadrupolar correlations in the $5 d^{2}$ Re-based double perovskites Ba $_{2}$ YReO $_{6}$ and Ba $_{2}$ ScReO $_{6}$

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