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The Random Phase Approximation (RPA) for total energies has previously beenshown to provide a qualitatively correct description of static correlation inmolecular systems, where density functional theory (DFT) with local functionalsare bound to fail. This immediately poses the question of whether the RPA isalso able to capture the correct physics of strongly correlated solids such asMott insulators. Due to strong electron localization, magnetic interactions insuch systems are dominated by superexchange, which in the simplest picture canbe regarded as the analogue of static correlation for molecules. In the presentwork we investigate the performance of the RPA for evaluating bothsuperexchange and direct exchange interactions in the magnetic solids NiO, MnO,Na3Cu2SbO6, Sr2CuO3, Sr2CuTeO6, and a monolayer of CrI3, which are chosen torepresent a broad variety of magnetic interactions. It is found that the RPAcan accurately correct the large errors introduced by Hartree-Fock -independent of the input orbitals used for the perturbative expansion. However,in most cases, accuracies similar to RPA can be obtained with DFT+U, which issignificantly simpler from a computational point of view.

Assessing the performance of the Random Phase Approximation for exchange and superexchange coupling constants in magnetic crystalline solids