Operatorial formulation of the ghost rotationally-invariant slave-Boson theory

Abstract

We propose an operatorially-exact formalism for describing the equilibrium and quantum-dynamical properties of many-electron systems interacting locally on a lattice, called "ghost rotationally-invariant slave-Boson theory" (g-RISB). We demonstrate that our theoretical framework reduces to the recently-developed ghost Gutzwiller approximation (g-GA) at the mean-field level. Furthermore, we introduce the time-dependent mean-field g-RISB action, generalizing the time-dependent GA theory. Since the g-RISB is based on exact reformulation of the many-body problem, it may pave the way to the development of practical implementations for adding systematically quantum-fluctuation corrections towards the exact solution, in arbitrary dimension.

arXiv comment10 pages, 0 figures

References in corpus (30)

• Solving the Quantum Many-Body Problem with Artificial Neural Networks
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• Quantum Cluster Theories
• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• A class of ansatz wave functions for 1D spin systems and their relation to DMRG
• Antiferromagnetism and d-wave superconductivity in cuprates: a uster DMFT study
• Correlated Topological Insulators with Mixed Valence
• Variational cluster approach to correlated electron systems in low dimensions
• Quantum embedding theories
• Time-Dependent Mean Field Theory for Quench Dynamics in correlated electron systems
• Rotationally-invariant slave-boson formalism and momentum dependence of the quasiparticle weight
• Interplay of Mott Transition and Ferromagnetism in the Orbitally Degenerate Hubbard Model
• LDA+Gutzwiller Method for Correlated Electron Systems: Formalism and Its Applications
• Orbital Selectivity in Hund's metals: The Iron Chalcogenides
• The $\gamma$-$\alpha$ iso-structural Transition in Cerium, a Critical Element
• Efficient implementation of the Gutzwiller variational method
• Gutzwiller density functional theory for correlated electron systems
• Equivalence of Gutzwiller and slave-boson mean-field theories for multi-band Hubbard models
• Fermi-surface evolution across the magnetic phase transition in the Kondo lattice model
• Gutzwiller density functional calculations of the electronic structure of FeAs-based superconductors: Evidence for a three-dimensional Fermi surface
• Slave Boson Theory of Orbital Differentiation with Crystal Field Effects: Application to UO${}_2$
• Emergent Bloch Excitations in Mott Matter
• Gutzwiller theory of band magnetism in LaOFeAs
• Exciton Mott transition revisited
• Electron correlation and spin density wave order in iron pnictides
• Quantum-embedding description of the Anderson lattice model with the ghost Gutzwiller Approximation
• Critical role of electronic correlations in determining crystal structure of transition metal compounds
• LDA+Slave-Boson approach to the correlated electronic structure of the metamagnetic bilayer ruthenate Sr${}_3$Ru${}_2$O${}_7$
• Time-Dependent and Steady-State Gutzwiller approach for nonequilibrium transport in nanostructures
• Combining complex and radial slave boson fields within the Kotliar-Ruckenstein representation of correlated impurities

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