Dynamical Mean Field Theory, Density-Matrix Embedding Theory and Rotationally Invariant Slave Bosons: a Unified Perspective

Abstract

We present a unified perspective on Dynamical Mean Field Theory (DMFT), Density-Matrix Embedding Theory (DMET) and Rotationally Invariant Slave Bosons (RISB). We show that DMET can be regarded as a simplification of the RISB method where the quasiparticle weight is set to unity. This relation allows to easily transpose extensions of a given method to another: for instance, a temperature-dependent version of RISB can be used to derive a temperature-dependent free-energy formula for DMET.

14 pages, 2 figures

References in corpus (42)

• Quantum Cluster Theories
• Cellular Dynamical Mean Field Approach to Strongly Correlated Systems
• Density matrix embedding: A simple alternative to dynamical mean-field theory
• Nonlocal Dynamical Correlations of Strongly Interacting Electron Systems
• The spectral weight of the Hubbard model through cluster perturbation theory
• Antiferromagnetism and d-wave superconductivity in cuprates: a uster DMFT study
• Density matrix embedding: A strong-coupling quantum embedding theory
• Self-energy-functional approach to systems of correlated electrons
• The Dynamical Cluster Approximation: Non-Local Dynamics of Correlated Electron Systems
• A practical guide to density matrix embedding theory in quantum chemistry
• Theoretical prediction of a strongly correlated Dirac metal
• Time-Dependent Mean Field Theory for Quench Dynamics in correlated electron systems
• Ground-state phase diagram of the square lattice Hubbard model from density matrix embedding theory
• Rotationally-invariant slave-boson formalism and momentum dependence of the quasiparticle weight
• Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space
• Density Matrix Embedding from Broken Symmetry Lattice Mean-Fields
• Quantum Quenches in the Hubbard Model: Time Dependent Mean Field Theory and The Role of Quantum Fluctuations
• Two-site dynamical mean-field theory
• Self-energy-functional theory
• Efficient implementation of the Gutzwiller variational method
• Finite temperature quantum embedding theories for correlated systems
• Equivalence of Gutzwiller and slave-boson mean-field theories for multi-band Hubbard models
• Dynamical Mean-Field Theory for Quantum Chemistry
• Dynamical Mean-Field Theory for Molecular Electronics: Electronic Structure and Transport Properties
• Slave Boson Theory of Orbital Differentiation with Crystal Field Effects: Application to UO${}_2$
• Non-equilibrium superconductivity in driven alkali-doped fullerides
• Valence-Bond Dynamical Mean-Field Theory of Doped Mott Insulators with Nodal/Antinodal Differentiation
• Spectral functions of strongly correlated extended systems via an exact quantum embedding
• Electronic structure and core-level spectra of light actinide dioxides in the dynamical mean-field theory
• On the exact formulation of multi-configuration density-functional theory: electron density versus orbitals occupation
• Mott Transitions in the 2D Half-Filled Hubbard Model: Correlator Projection Method with Projective Dynamical Mean-Field Approximation
• Cluster size convergence of the density matrix embedding theory and its dynamical cluster formulation: a study with an auxiliary-field quantum Monte Carlo solver
• Valence-band satellite in the ferromagnetic nickel: LDA+DMFT study with exact diagonalization
• Local density approximation in site-occupation embedding theory
• Dynamical quantum phase transitions and broken-symmetry edges in the many-body eigenvalue spectrum
• Rotationally-invariant slave-bosons for Strongly Correlated Superconductors
• Electronic transport and dynamics in correlated heterostructures
• Time-Dependent and Steady-State Gutzwiller approach for nonequilibrium transport in nanostructures
• Exact solution of the one-dimensional spin-$\frac{3}{2}$ Ising model in magnetic field
• On the nature of the Mott transition in multiorbital systems
• Extended dynamic Mott-transition in the two-band Hubbard model out of equilibrium
• Large-amplitude spin oscillations triggered by nonequilibrium strongly correlated $t_{2g}$ electrons

Cited by in corpus (35)

• Rigorous wave function embedding with dynamical fluctuations
• Correlated materials design: prospects and challenges
• Energy-weighted density matrix embedding of open correlated chemical fragments
• Rotationally invariant slave-boson and density matrix embedding theory: A unified framework and a comparative study on the 1D and 2D Hubbard Model
• Dynamical configuration interaction: Quantum embedding that combines wave functions and Green's functions
• Projected Density Matrix Embedding Theory with Applications to the Two-Dimensional Hubbard Model
• Quantum-embedding description of the Anderson lattice model with the ghost Gutzwiller Approximation
• Site-Occupation Embedding Theory using Bethe Ansatz Local Density Approximations
• Householder transformed density matrix functional embedding theory
• Accuracy of ghost-rotationally-invariant slave-boson and dynamical mean field theory as a function of the impurity-model bath size
• Enhancing robustness and efficiency of density matrix embedding theory via semidefinite programming and local correlation potential fitting
• Projected site-occupation embedding theory
• Unraveling correlated material properties with noisy quantum computers: Natural orbitalized variational quantum eigensolving of extended impurity models within a slave-boson approach
• On-Premises Superconducting Quantum Computer for Education and Research
• 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
• Local Potential Functional Embedding Theory: A Self-Consistent Flavor of Density Functional Theory for Lattices without Density Functionals
• Derivation of the Ghost Gutzwiller Approximation from Quantum Embedding principles: the Ghost Density Matrix Embedding Theory
• A unified density-matrix functional construction of quantum baths in density matrix embedding theory beyond the mean-field approximation
• Multiple impurities and combined local density approximations in Site-Occupation Embedding Theory
• Comparative study of the density matrix embedding theory for the Hubbard models
• Charge self-consistent density functional theory plus ghost rotationally-invariant slave-boson theory for correlated materials
• Hybridization effect on the X-ray absorption spectra for actinide materials: Application to PuB${}_4$
• Unitary transformations within density matrix embedding approaches: A novel perspective on the self-consistent scheme for electronic structure calculation
• Extending the Gutzwiller approximation to intersite interactions
• Site-occupation--Green's function embedding theory: A density-functional approach to dynamical impurity solvers
• Local Potential Functional Embedding Theory of Molecular Systems: Localized Orbital-Based Embedding from an Exact Density-Functional Perspective
• CT-X: an efficient continuous-time quantum Monte Carlo impurity solver in Kondo Regime
• Off-shell effective energy theory: a unified treatment of the Hubbard model from d=1 to d=$\infty$
• Active Learning approach to simulations of Strongly Correlated Matter with the Ghost Gutzwiller Approximation
• Bath parameterization in multi-band cluster Dynamical Mean-Field Theory
• A versatile unitary transformation framework for an optimal bath construction in density-matrix based quantum embedding approaches
• Density-Matrix Mean-Field Theory
• Bond-dependent slave-particle cluster theory based on density matrix expansion
• Efficient slave-boson approach for multiorbital two-particle response functions and superconductivity