Modeling many-body physics with Slave-Spin Mean-Field: Mott and Hund's physics in Fe-superconductors

Abstract

Slave-spin mean-field theory, a light and accurate technique to model electronic correlations in Fermi-liquid phases of multi-orbital materials, is pedagogically exposed in this chapter, with a focus on its recent successful application to the physics of Iron-based superconductors. Beside introducing electronic correlations and recalling the Fermi-liquid phenomenology, the manuscript accompanies the step-by-step explanation of the slave-spin technique with a set of useful complements providing analytical insight into Mott and Hund's physics, which are at the heart of the physics of strongly correlated materials. Some original research material is also exposed, such as the Hund-induced shrinking of the Hubbard bands flanking the gap of the half-filled Mott insulator, and the low-energy description of the "orbital-decoupling" mechanism.

58 pages, 19 figures. Original research material on Hund's physics (see abstract) is presented in the manuscript, supplementing the main subject about the lectures prepared for the "XIX Training Course in the Physics of Strongly Correlated Systems", Vietri sul Mare, Italy - October 2015

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Cited by in corpus (18)

• Hundness versus Mottness in a three-band Hubbard-Hund model: On the origin of strong correlations in Hund metals
• Charge disproportionation, mixed valence, and Janus effect in multiorbital systems: A tale of two insulators
• Metal-insulator transitions, superconductivity, and magnetism in the two-band Hubbard model
• Theoretical study of impurity-induced magnetism in FeSe
• Mott Quantum Critical Points at finite doping
• Osmates on the verge of a Hund's-Mott transition: The different fates of NaOsO${}_3$ and LiOsO${}_3$
• Low quasiparticle coherence temperature in the one band-Hubbard model: A slave-boson approach
• Renormalized dispersing multiplets in the spectrum of nearly Mott localized systems
• Electronic Stripe Patterns Near the Fermi Level of Tetragonal Fe(Se,S)
• Accurate modeling of FeSe with screened Fock exchange and Hund's metal correlations
• Orbital-selective bad metals due to Hund's rule and orbital anisotropy: a finite-temperature slave-spin treatment of the two-band Hubbard model
• Hund's metal regimes and orbital selective Mott transitions in three band systems
• Energy Landscape analysis of metal-insulator transitions: theory and application to Ca${}_2$RuO${}_4$, $R$NiO${}_3$ and their heterostructures
• Bath parameterization in multi-band cluster Dynamical Mean-Field Theory
• Slave-Spin 1 formulation: A simple approach to time-dependent transport through an interacting two level system
• Mott transition, magnetic and orbital orders in the ground state of the two-band Hubbard model using variational slave-spin mean field formalism
• From Slater to Mott physics: epitaxial engineering of electronic correlations in oxide interfaces
• PhD Thesis: Electronic correlations in multiorbital systems