In the quantum chemistry community, post-Hartree-Fock methods are used a lot. How do they relate to DFT ? (You will need the concept of a Slater determinant here. If that does not say anything to you, watch this 5-minute explanation first).
(optional) If you want to dig deeper, you might read Sec. 2 of this paper — it is a short and excellent overview of post-Hartree-Fock methods.