Rotationally-invariant slave-boson formalism and momentum dependence of the quasiparticle weight

Abstract

We generalize the rotationally-invariant formulation of the slave-boson formalism to multiorbital models, with arbitrary interactions, crystal fields, and multiplet structure. This allows for the study of multiplet effects on the nature of low-energy quasiparticles. Non-diagonal components of the matrix of quasiparticle weights can be calculated within this framework. When combined with cluster extensions of dynamical mean-field theory, this method allows us to address the effects of spatial correlations, such as the generation of the superexchange and the momentum dependence of the quasiparticle weight. We illustrate the method on a two-band Hubbard model, a Hubbard model made of two coupled layers, and a two-dimensional single-band Hubbard model (within a two-site cellular dynamical mean-field approximation).

added figures, improved discussion

References in corpus (6)

• Two Energy Scales and two Quasiparticle Dynamics in the Superconducting State of Underdoped Cuprates
• What is the valence of a correlated solid? The double life of delta-plutonium
• Orbital selective Mott transition in multi-band systems: slave-spin representation and dynamical mean-field theory
• Band insulator to Mott insulator transition in a bilayer Hubbard model
• Dynamical behavior across the Mott transition of two bands with different bandwidths
• Pseudogap at hot spots in the two-dimensional Hubbard model at weak coupling

Cited by in corpus (70)

• Correlated Topological Insulators with Mixed Valence
• Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors
• Theoretical prediction of a strongly correlated Dirac metal
• Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space
• Multiorbital processes rule the Nd${}_{1-x}$Sr${}_x$NiO${}_2$ normal state
• Fermionic Wave Functions from Neural-Network Constrained Hidden States
• Equivalence of Gutzwiller and slave-boson mean-field theories for multi-band Hubbard models
• Superconducting Instabilities in Strongly-Correlated Infinite-Layer Nickelates
• Composite-Fermion Theory for Pseudogap, Fermi Arc, Hole Pocket, and Non-Fermi-Liquid of Underdoped Cuprate Superconductors
• Valence-Bond Dynamical Mean-Field Theory of Doped Mott Insulators with Nodal/Antinodal Differentiation
• Dynamical Mean Field Theory, Density-Matrix Embedding Theory and Rotationally Invariant Slave Bosons: a Unified Perspective
• Identification of the Mott insulating CDW state in 1T-TaS${}_2$
• Neural-network quantum states for many-body physics
• Gutzwiller Hybrid Quantum-Classical Computing Approach for Correlated Materials
• Spin-dependent thermoelectric effects in a strongly correlated double quantum dot
• Rotationally invariant slave-boson and density matrix embedding theory: A unified framework and a comparative study on the 1D and 2D Hubbard Model
• Interaction-resistant metals in multicomponent Fermi systems
• Multi-orbital physics in Fermi liquids prone to magnetic order
• Fully Algebraic and Self-consistent Effective Dynamics in a Static Quantum Embedding
• Rotationally-invariant slave-bosons for Strongly Correlated Superconductors
• Altermagnetism from interaction-driven itinerant magnetism
• Quantum-embedding description of the Anderson lattice model with the ghost Gutzwiller Approximation
• Correlation effects on the doped triangular lattice in view of the physics of sodium-rich Na${}_x$CoO${}_2$
• Slave-Boson analysis of the 2D Hubbard model
• Accuracy of ghost-rotationally-invariant slave-boson and dynamical mean field theory as a function of the impurity-model bath size
• Interplay of spin-orbit and entropic effects in Cerium
• Analytical slave-spin mean-field approach to orbital selective Mott insulators
• Mott Quantum Critical Points at finite doping
• Slave boson theory of the extended Falicov-Kimball model
• Edge zeros and boundary spinons in topological Mott insulators
• On-Premises Superconducting Quantum Computer for Education and Research
• Unraveling correlated material properties with noisy quantum computers: Natural orbitalized variational quantum eigensolving of extended impurity models within a slave-boson approach
• Quantum fluctuations beyond the Gutzwiller approximation
• Enhancement of charge instabilities in Hund's metals by the breaking of rotational symmetry
• Accuracy of ghost-rotationally-invariant slave-boson theory for multiorbital Hubbard models and realistic materials
• Bypassing the computational bottleneck of quantum-embedding theories for strong electron correlations with machine learning
• Exact results with the Kotliar-Ruckenstein slave-boson representation
• Operatorial formulation of the ghost rotationally-invariant slave-Boson theory
• Derivation of the Ghost Gutzwiller Approximation from Quantum Embedding principles: the Ghost Density Matrix Embedding Theory
• Low-energy physics for an iron phthalocyanine molecule on Au(111)
• Time-dependent ghost-Gutzwiller non-equilibrium dynamics
• Spin-$0$ Mott insulator to metal to spin-$1$ Mott insulator transition in the single-orbital Hubbard model on the decorated honeycomb lattice
• Multiple insulating phases due to the interplay of strong correlations and lattice geometry in a single-orbital Hubbard model
• Slave-spin mean field for broken-symmetry states: Néel antiferromagnetism and its phase separation in multi-orbital Hubbard models
• Large-amplitude spin oscillations triggered by nonequilibrium strongly correlated $t_{2g}$ electrons
• Mott and Wigner-Mott transitions in doped correlated electron systems: effects of superlattice potential and inter-site correlation
• Combining complex and radial slave boson fields within the Kotliar-Ruckenstein representation of correlated impurities
• Boson Slave Solver (BoSS) v1.1
• Enhanced superconductivity in the compressively strained bilayer nickelate thin films by pressure
• Self-doped Molecular Mott Insulator for Bilayer High-Temperature Superconducting La3Ni2O7
• Coulomb correlation in presence of spin-orbit coupling: application to plutonium
• Charge self-consistent density functional theory plus ghost rotationally-invariant slave-boson theory for correlated materials
• Phase diagram of the Hubbard model on a square lattice: A cluster slave-spin study
• Extending the Gutzwiller approximation to intersite interactions
• Band crossover and magnetic phase diagram of high-Tc superconducting compound Ba2CuO4-δ
• Local bottom-up effective theory of non-local electronic interactions
• Cobalt-dimer Nitrides -- a Potential Novel Family of High Temperature Superconductors
• Off-shell effective energy theory: a unified treatment of the Hubbard model from d=1 to d=$\infty$
• $C_3$ symmetry breaking metal-insulator transitions in a flat band in the half-filled Hubbard model on the decorated honeycomb lattice
• Hund's metal regimes and orbital selective Mott transitions in three band systems
• Active Learning approach to simulations of Strongly Correlated Matter with the Ghost Gutzwiller Approximation
• Bath parameterization in multi-band cluster Dynamical Mean-Field Theory
• Exact functional integration of radial and complex slave-boson fields: thermodynamics and dynamics of the two-site extended Hubbard model
• Quasiparticle approach to the transport in infinite-layer nickelates
• Bond-dependent slave-particle cluster theory based on density matrix expansion
• Linear Foundation Model for Quantum Embedding: Data-Driven Compression of the Ghost Gutzwiller Variational Space
• Automated evaluation of imaginary time strong coupling diagrams by sum-of-exponentials hybridization fitting
• Efficient slave-boson approach for multiorbital two-particle response functions and superconductivity
• Bad metal and negative compressibility transitions in a two-band Hubbard model
• RTGW2020: A powerful implementation of DFT + Gutzwiller method