2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/25848The present paper reviews recent achievements on the ab initio determination of effective model Hamiltonians aimed at the description of strongly correlated materials. These models (Heisenberg, $t-J$, extended Hubbard, Kondo, etc) are crucial to solid state physicists for the description and understanding of the electronic remarkable properties such as magnetic orders, photo-induced magnetism, transport properties, high $t\_c$ super conductivity, etc. We will see how the association and the control of embedding techniques, fragment spectroscopy, effective or intermediate Hamiltonian theories, provides a systematic and well controlled method for the determination of trustworthy models Hamiltonians.Strongly Correlated Electronstext