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Strong correlation can be essentially captured with multireferencewavefunction methods such as complete active space self-consistent field(CASSCF) or density matrix renormalization group (DMRG). Still, an accuratedescription of the electronic structure of strongly correlated systems requiresaccounting for the dynamic electron correlation, which CASSCF and DMRG largelymiss. In this work a new approach for the correlation energy based on theadiabatic connection (AC) is proposed. The AC$_{\rm n}$ method accounts forterms up to the desired order n in the coupling constant, is rigorouslysize-consistent, free from instabilities and intruder states. It employs theparticle-hole multireference random phase approximation and the Choleskydecomposition technique, which leads to a computational cost growing with thefifth power of the system size. Thanks to AC$_{\rm n}$ depending solely on one-and two-electron CAS reduced density matrix, the method is much more efficientthan existing ab initio dynamic correlation methods for strong correlation.AC$_{\rm n}$ affords excellent results for singlet-triplet gaps of challengingorganic biradicals. Development presented in this work opens new perspectivesfor accurate calculations of systems with dozens of strongly correlatedelectrons.

Efficient adiabatic connection approach for strongly correlated systems. Application to singlet-triplet gaps of biradicals