# Modeling Many-Body Physics with Slave-Spin Mean-Field: Mott and Hund’s Physics in Fe-Superconductors

@article{Medici2017ModelingMP, title={Modeling Many-Body Physics with Slave-Spin Mean-Field: Mott and Hund’s Physics in Fe-Superconductors}, author={Luca Medici and Massimo Capone}, journal={arXiv: Strongly Correlated Electrons}, year={2017}, pages={115-185} }

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…

## 31 Citations

### Heavy fermions and Hund's metals in iron-based superconductors

- Physics
- 2018

Materials where the electrons responsible for the low-energy properties experience strong correlations are today very investigated in search of emerging new phases with surprising and/or useful…

### Hund's metal crossover and superconductivity in the 111 family of iron-based superconductors

- Physics
- 2021

We study LiFeP, LiFeAs and NaFeAs in their paramagnetic metallic phase including dynamical electronic correlations within a density functional theory + slave-spin mean-field framework. The three…

### Hundness versus Mottness in a three-band Hubbard–Hund model: On the origin of strong correlations in Hund metals

- PhysicsAnnals of Physics
- 2019

### PhD Thesis: Electronic correlations in multiorbital systems

- Physics
- 2019

The role of electronic correlations in Condensed Matter is at the heart of various important systems, like magnetic materials, superconductors, topological materials, optical lattices, etc.…

### Mott transition, magnetic and orbital orders in the ground state of the two-band Hubbard model using variational slave-spin mean field formalism

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2021

We study the ground state phase diagram of the degenerate two-band Hubbard model at integer fillings as a function of onsite Hubbard interaction U and Hund’s exchange coupling J. We use a variational…

### Orbital-selective bad metals due to Hund's rule and orbital anisotropy: A finite-temperature slave-spin treatment of the two-band Hubbard model

- PhysicsPhysical Review B
- 2019

We study the finite-temperature properties of the half-filled two-band Hubbard model in the presence of Hund's rule coupling and orbital anisotropy. We use the mean-field treatment of the Z(2)…

### Hund's metals, explained

- Physics
- 2017

A possible practical definition for a Hund's metal is given, as a metallic phase - arising consistently in realistic simulations and experiments in Fe-based superconductors and other materials - with…

### Accurate modeling of FeSe with screened Fock exchange and Hund metal correlations

- PhysicsPhysical Review B
- 2021

We reproduce the electronic properties of FeSe in the high-temperature phase within an ab initio framework that includes screened Fock exchange and local dynamical correlations. We robustly capture…

### Constraints on the total coupling strengthto bosons in the iron based superconductors

- Physics
- 2017

Despite the fact that the Fe‐based superconductors (FeSCs) were discovered nearly 10 years ago, the community is still devoting a tremendous effort toward elucidating their relevant microscopic…

### Imaging orbital-selective quasiparticles in the Hund’s metal state of FeSe

- PhysicsNature Materials
- 2018

Quasiparticle scattering interference resolved by orbital content reveals that orbital-selective strong correlations dominate the parent state of iron-based high-temperature superconductivity in FeSe, consistent with earlier orbitally selective Cooper pairing studies.

## References

SHOWING 1-10 OF 99 REFERENCES

### Z 2 -slave-spin theory for strongly correlated fermions

- Physics
- 2010

We review a representation of Hubbard-like models that is based on auxiliary pseudospin variables. These pseudospins refer to the local charge modulo two in the original model and display a local…

### Fermi-liquid, non-Fermi-liquid, and Mott phases in iron pnictides and cuprates

- Physics
- 2010

The role of Coulomb correlations in the iron pnictide LaFeAsO is studied by generalizing exact diagonalization dynamical mean field theory to five orbitals. For rotationally invariant Hund's rule…

### Orbital-selective Mott transition in multiband systems : Slave-spin representation and dynamical mean-field theory

- Physics
- 2005

We examine whether the Mott transition of a half-filled, two-orbital Hubbard model with unequal bandwidths occurs simultaneously for both bands or whether it is a two-stage process in which the…

### High-spin to low-spin and orbital polarization transitions in multiorbital Mott systems.

- PhysicsPhysical review letters
- 2007

It is found that the Hund coupling can drive the system into a novel Mott insulating phase with vanishing orbital susceptibility, and away from half-filling, the crystal field splitting can induce an orbital selective Mott state.

### Slave spins away from half filling: Cluster mean-field theory of the Hubbard and extended Hubbard models

- Physics
- 2010

A new slave-spin representation of fermion operators has recently been proposed for the half-filled Hubbard model. We show that with the addition of a gauge variable, the formalism can be extended to…

### Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions

- Physics
- 1996

We review the dynamical mean-field theory of strongly correlated electron systems which is based on a mapping of lattice models onto quantum impurity models subject to a self-consistency condition.…

### Selective Mott physics as a key to iron superconductors.

- PhysicsPhysical review letters
- 2014

This scenario reconciles contrasting evidences on the electronic correlation strength, implies a strong asymmetry between hole and electron doping, and establishes a deep connection with the cuprates.

### Mott transition at large orbital degeneracy: Dynamical mean-field theory

- Physics
- 2002

We study analytically the Mott transition of the N-orbital Hubbard model using dynamical mean-field theory and a low-energy projection onto an effective Kondo model. It is demonstrated that the…

### Weak and Strong Correlations in Fe Superconductors

- Physics
- 2015

In this chapter I will discuss the strength of electronic correlations in the normal phase of Fe-superconductors. It will be shown that the agreement between a wealth of experiments and DFT+DMFT or…

### Generalized slave-particle method for extended Hubbard models

- Physics
- 2015

We introduce a set of generalized slave-particle models for extended Hubbard models that treat localized electronic correlations using slave-boson decompositions. Our models automatically include two…