Particle-hole Symmetric Slave Boson Method for the Mixed Valence Problem

Abstract

We introduce an analytic slave boson method for treating the finite $U$ Anderson impurity model. Our approach introduces two bosons to track both $Q\rightleftharpoons Q\pm 1$ valence fluctuations and reduces to a single symmetric $s$-boson in the effective action, encoding all the high energy atomic physics information in the boson's kinematics, while the low energy part of the action remains unchanged across finite $U$, infinite $U$, and Kondo limits. We recover the infinite $U$ and Kondo limit actions from our approach and show that the Kondo resonance already develops in the normal state when the slave boson has yet to condense. We show that the slave rotor and $s$-boson have the same algebraic structure, and we establish a unified functional integral framework connecting the $s$-boson and slave rotor representations for the single impurity Anderson model.

13 + 6 pages, 8 + 1 figures

References in corpus (21)

• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• MATBG as Topological Heavy Fermion: I. Exact Mapping and Correlated Insulators
• Slave-rotor mean field theories of strongly correlated systems and the Mott transition in finite dimensions
• Numerical Renormalization Group Study of the Anderson-Holstein Impurity Model
• Direct observation of how the heavy fermion state develops in CeCoIn5
• Gate-tunable heavy fermions in a moiré Kondo lattice
• Quantum impurity solvers using a slave rotor representation
• Kondo lattice model in magic-angle twisted bilayer graphene
• Heavy fermion representation for twisted bilayer graphene systems
• Kondo Lattice Model of Magic-Angle Twisted-Bilayer Graphene: Hund's Rule, Local-Moment Fluctuations, and Low-Energy Effective Theory
• Chiral Kondo Lattice in Doped MoTe${}_2$/WSe${}_2$ Bilayers
• Symmetric Kondo Lattice States in Doped Strained Twisted Bilayer Graphene
• Dynamical correlations and order in magic-angle twisted bilayer graphene
• Crossover from adiabatic to antiadiabatic phonon-assisted tunneling in single-molecule transistors
• TBG as Topological Heavy Fermion: II. Analytical approximations of the model parameters
• Enhanced Kondo Effect in an Electron System Dynamically Coupled with Local Optical Phonon
• Functional renormalization group study of the Anderson--Holstein model
• Topological Mixed Valence Model for Twisted Bilayer Graphene
• Topological Mixed Valence Model in Magic-Angle Twisted Bilayer Graphene
• Numerical Renormalization Group Study of Probability Distributions for Local Fluctuations in the Anderson-Holstein and Holstein-Hubbard Models
• Oscillate and Renormalize: Fast Phonons Reshape the Kondo Effect in Flat Band Systems