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arXiv · 2301.10726

Slave-spin mean field for broken-symmetry states: N\'eel antiferromagnetism and its phase separation in multi-orbital Hubbard models

Matteo Crispino·Maria Chatzieleftheriou·Tommaso Gorni·Luca de' Medici
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Abstract

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

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Matteo Crispino, Maria Chatzieleftheriou, Tommaso Gorni, Luca de' Medici. 2023-01-25. Slave-spin mean field for broken-symmetry states: N\'eel antiferromagnetism and its phase separation in multi-orbital Hubbard models. https://doi.org/10.1103/physrevb.107.155149

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