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Quantum embedding methods have become a powerful tool to overcomedeficiencies of traditional quantum modelling in materials science. However,while these are systematically improvable in principle, in practice it israrely possible to achieve rigorous convergence and often necessary to employempirical parameters. Here, we formulate a quantum embedding theory, buildingon the methods of density-matrix embedding theory combined with localcorrelation approaches from quantum chemistry, to ensure the ability tosystematically converge properties of real materials with accurate correlatedwave~function methods, controlled by a single, rapidly convergent parameter. Byexpanding supercell size, basis set, and the resolution of the fluctuationspace of an embedded fragment, we show that the systematic improvability of theapproach yields accurate structural and electronic properties of realisticsolids without empirical parameters, even across changes in geometry. Resultsare presented in insulating, semi-metallic, and more strongly correlatedregimes, finding state of the art agreement to experimental data.

Systematic improvability in quantum embedding for real materials