Slave spin cluster mean field theory away from half-filling: Application to the Hubbard and the extended Hubbard Model

Abstract

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 finite doping. The resulting spin problem can be solved using the cluster mean-field approximation. This approximation takes short-range correlations into account by exact diagonalization on the cluster, whereas long-range correlations beyond the size of clusters are treated at the mean-field level. In the limit where the cluster has only one site and the interaction strength $U$ is infinite, this approach reduces to the Gutzwiller approximation. There are some qualitative differences when the size of the cluster is finite. We first compute the critical $U$ for the Mott transition as a function of a frustrating second-neighbor interaction on lattices relevant for various correlated systems, namely the cobaltites, the layered organic superconductors and the high-temperature superconductors. For the triangular lattice, we also study the extended Hubbard model with nearest-neighbor repulsion. In additionto a uniform metallic state, we find a $\sqrt{(}3)\times \sqrt{(}3)$ charge density wave in a broad doping regime, including commensurate ones. We find that in the large $U$ limit, intersite Coulomb repulsion $V$ strongly suppresses the single-particle weight of the metallic state.

10 pages, 11 figures, submitted to PRB

References in corpus (12)

• Orbital-Selective Mott transition out of band degeneracy lifting
• Orbital selective Mott transition in multi-band systems: slave-spin representation and dynamical mean-field theory
• Rotationally-invariant slave-boson formalism and momentum dependence of the quasiparticle weight
• Self-energy-functional approach: Analytical results and the Mott-Hubbard transition
• Ferromagnetism, paramagnetism and a Curie-Weiss metal in an electron doped Hubbard model on a triangular lattice
• Cellular Dynamical Mean Field Theory for the 1D Extended Hubbard Model
• Self-consistent slave rotor mean field theory for strongly correlated systems
• Magnetism and d-wave superconductivity on the half-filled square lattice with frustration
• Charge order and superconductivity in a two-dimensional triangular lattice at n=2/3
• Supersolidity, entropy and frustration
• Electronic Properties of the Hubbard Model on a Frustrated Triangular Lattice
• Competition between charge and spin order in the $t-U-V$ extended Hubbard model on the triangular lattice

Cited by in corpus (64)

• Hund's coupling key role in multi-orbital correlations
• Quantum Quenches in the Hubbard Model: Time Dependent Mean Field Theory and The Role of Quantum Fluctuations
• Beyond extended dynamical mean-field theory: Dual boson approach to the two-dimensional extended Hubbard model
• U(1) Slave-spin theory and its application to Mott transition in a multi-orbital model for iron pnictides
• Orthogonal Metals: The simplest non-Fermi liquids
• Electronic correlations in Hund metals
• Z_2-slave-spin theory for strongly correlated fermions
• Mott Transition in Multi-Orbital Models for Iron Pnictides
• Strong Correlations, Strong Coupling and s-wave Superconductivity in Hole-doped BaFe2As2 Single Crystals
• Nematicity at the Hund's metal crossover in iron superconductors
• Hund's induced Fermi-liquid instabilities and enhanced quasiparticle interactions
• Orbital selectivity in electron correlations and superconducting pairing of iron-based superconductors
• Is the orbital-selective Mott phase stable against interorbital hopping?
• Linear Ramps of Interaction in the Fermionic Hubbard Model
• Evidences of Mott physics in iron pnictides from x-ray spectroscopy
• Tuning a Strain-Induced Orbital Selective Mott Transition in Epitaxial VO${}_2$
• Modeling many-body physics with Slave-Spin Mean-Field: Mott and Hund's physics in Fe-superconductors
• Strong correlations and the search for high-Tc superconductivity in chromium pnictides and chalcogenides
• Orbital-dependent effects of electron correlations in microscopic models for iron-based superconductors
• Quantum phases of attractive bosons on a Bose-Hubbard ladder with three-body constraint
• Two-body repulsive bound pairs in multi-body interacting Bose-Hubbard model
• Correlation, doping and interband effects on the optical conductivity of iron superconductors
• Analytical slave-spin mean-field approach to orbital selective Mott insulators
• Generalized slave-particle method for extended Hubbard models
• Cooperative Effects of Strain and Electron Correlation in Epitaxial VO2 and NbO2
• Extended Bose Hubbard model for two leg ladder systems in artificial magnetic fields
• Superconductivity in twisted WSe${}_2$ from topology-induced quantum fluctuations
• Two-leg ladder Bose Hubbard models with staggered fluxes
• Dissipative quantum dynamics of fermions in optical lattices: a slave-spin approach
• Alternative Kondo breakdown mechanism: Orbital-selective orthogonal metal transition
• Correlated metallic state in honeycomb lattice: Orthogonal Dirac semimetal
• Enhancement of charge instabilities in Hund's metals by the breaking of rotational symmetry
• Kondo effect and its destruction in hetero-bilayer transition metal dichalcogenides
• Quantum phases of constrained dipolar bosons in coupled one-dimensional optical lattices
• Symmetry Breaking in Occupation Number Based Slave-Particle Methods
• Slave-spin mean field for broken-symmetry states: Néel antiferromagnetism and its phase separation in multi-orbital Hubbard models
• CDMFT+HFD : an extension of dynamical mean field theory for nonlocal interactions applied to the single band extended Hubbard model
• Renormalized dispersing multiplets in the spectrum of nearly Mott localized systems
• Hubbard physics with Rydberg atoms: using a quantum spin simulator to simulate strong fermionic correlations
• Weak and strong electronic correlations in Fe superconductors
• Theory of carrier concentration-dependent electronic behavior in layered cobaltates
• Phase diagram of the Hubbard model on a honeycomb lattice: A cluster slave-spin study
• Orbital-selective bad metals due to Hund's rule and orbital anisotropy: a finite-temperature slave-spin treatment of the two-band Hubbard model
• Revisit of Antiferromagnetism in Hubbard Model by A Cluster Slave-Spin Method
• Multiorbital kinetic effects on charge ordering of frustrated electrons on the triangular lattice
• Orthogonal metal in the Hubbard model with liberated slave spins
• Quantum phases of constrained bosons on a two-leg Bose-Hubbard ladder
• Dynamic charge Kondo effect and a slave fermion approach to the Mott transition
• Benchmarking the simplest slave-particle theory with Hubbard dimer
• Slave fermion interpretation of the pseudogap in doped Mott insulators
• Phase diagram of the Hubbard model on a square lattice: A cluster slave-spin study
• The odd-parity altermagnetism: A spin group study
• Non-Abelian vortices in the emergent U(2) gauge theory of the Hubbard model
• Energy Landscape analysis of metal-insulator transitions: theory and application to Ca${}_2$RuO${}_4$, $R$NiO${}_3$ and their heterostructures
• Rationalizing doping and electronic correlations in LaFe${}_2$As${}_2$
• The Out-of-Equilibrium Time-Dependent Gutzwiller Approximation
• Dynamical $t/U$ Expansion of the Doped Hubbard Model
• Semiconductor of spinons: from Ising band insulator to orthogonal band insulator
• Comment on "Z2-slave-spin theory for strongly correlated fermions" + Reply to the Reply to the "Comment on ?Z2-slave-spin theory for strongly correlated" fermions?
• Bond-dependent slave-particle cluster theory based on density matrix expansion
• Phase diagram of the Kitaev-Hubbard model: ${\mathbb{Z}}_2$ slave-spin and QMC approaches
• Mott transition, magnetic and orbital orders in the ground state of the two-band Hubbard model using variational slave-spin mean field formalism
• Eliminating Orbital Selectivity from the Metal-Insulator Transition by Strong Magnetic Fluctuations
• Orthogonal Dirac semimetal on honeycomb lattice and the electron spectral function in orthogonal metallic states