Slave-spin mean field for broken-symmetry states: Néel antiferromagnetism and its phase separation in multiorbital Hubbard models

We introduce the generalization of Slave-Spin Mean-Field method to broken-symmetry phases. Through a variational approach we derive single-particle energy shift in mean-field equations which generates appropriate self-consistent field responsible for stabilization broken symmetry. With this correction different flavours slave-spin are actually same and they give identical results Kotliar-Ruckenstein slave-bosons Gutzwiller approximation. apply our formalism N\'eel antiferromagnetic state study it multi-orbital models as function number orbitals Hund's coupling strength, providing phase diagrams interaction-doping plane. show that doped antiferromagnet proximity half-filling is typically unstable towards insulator-metal magnetic-non magnetic separation. extends range antiferromagnet, favors its