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 (16)

• Theoretical prediction of a strongly correlated Dirac metal
• Time-Dependent Mean Field Theory for Quench Dynamics in correlated electron systems
• 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
• 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
• Valence-Bond Dynamical Mean-Field Theory of Doped Mott Insulators with Nodal/Antinodal Differentiation
• On the exact formulation of multi-configuration density-functional theory: electron density versus orbitals occupation
• 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
• Rotationally-invariant slave-bosons for Strongly Correlated Superconductors
• Electronic transport and dynamics in correlated heterostructures
• Exact solution of the one-dimensional spin-$\frac{3}{2}$ Ising model in magnetic field
• Large-amplitude spin oscillations triggered by nonequilibrium strongly correlated $t_{2g}$ electrons

Cited by in corpus (2)

• 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