Unraveling screening mechanisms in Kondo impurities using an NRG-MPS-based method

Abstract

The Kondo effect is a hallmark of strongly-correlated systems, where an impurity's local degrees of freedom are screened by conduction electrons, forming a many-body singlet. With increasing degrees of freedom in the impurity, theoretical studies face significant challenges in accurately identifying and characterizing the underlying mechanisms that screen the impurity. In this work, we introduce a straightforward yet powerful methodology for identifying the formation of Kondo singlets and their screening mechanisms, by utilizing the numerical renormalization group (NRG) combined with the matrix product states (MPS) technique. We demonstrate the effectiveness of our method on the single and two-level Anderson impurity models (AIM). Furthermore, we discuss potential generalizations of the method to multichannel and multiorbital Kondo impurities. Harnessing advanced tensor network techniques, our approach extends to complex impurity systems, offering a robust and versatile framework for studying Kondo physics.

arXiv comment9 pages, 4 figures, comments are welcome

References in corpus (46)

• The density-matrix renormalization group in the age of matrix product states
• Kondo Physics in a Single Electron Transistor
• A Tunable Kondo Effect in Quantum Dots
• The numerical renormalization group method for quantum impurity systems
• The ITensor Software Library for Tensor Network Calculations
• Overscreened multi-channel SU(N) Kondo model : large-N solution and Conformal Field Theory
• Nonequilibrium Singlet-Triplet Kondo Effect in Carbon Nanotubes
• Variational matrix product state approach to quantum impurity models
• The low-energy scale of the periodic Anderson model
• Fork Tensor Product States - Efficient Three Orbital Real Time DMFT Solver
• How to measure the entropy of a mesoscopic system via thermoelectric transport
• Density matrix numerical renormalization group for non-Abelian symmetries
• Theory of non-equilibrium transport in the SU(N) Kondo regime
• Strongly correlated materials from a numerical renormalization group perspective: How the Fermi-liquid state of Sr${}_2$RuO${}_4$ emerges
• Friedel oscillations and the Kondo screening cloud
• Transition from overscreening to underscreening in the multichannel Kondo model: exact solution at large N
• Hundness versus Mottness in a three-band Hubbard-Hund model: On the origin of strong correlations in Hund metals
• One-dimensional many-body entangled open quantum systems with tensor network methods
• Generalized Wilson Chain for solving multichannel quantum impurity problems
• An efficient method for quantum impurity problems out of equilibrium
• Two-channel Kondo physics in two-impurity Kondo models
• Matrix product state comparison of the numerical renormalization group and the variational formulation of the density matrix renormalization group
• Emergent Charge Fluctuations at the Kondo Breakdown of Heavy Fermions
• Renormalized Lindblad Driving: A Numerically-Exact Nonequilibrium Quantum Impurity Solver
• Transport Spectroscopy of a Spin-Coherent Dot-Cavity System
• Fermi/non-Fermi mixing in SU($N$) Kondo effect
• Fully compensated Kondo effect for a two-channel spin S=1 impurity
• SO(5) non-Fermi liquid in a Coulomb box device
• Quantifying the leading role of the surface state in the Kondo effect of Co/Ag(111)
• The 2-Channel Kondo Model II: CFT Calculation of Non-Equilibrium Conductance through a Nanoconstriction containing 2-Channel Kondo Impurities
• Overscreened Single Channel Kondo Problem
• Universal Thermal Entanglement of Multichannel Kondo Effects
• Long-range spin-coherence in a strongly-coupled all electronic dot-cavity system
• Equilibrium Quantum Impurity Problems via Matrix Product State Encoding of the Retarded Action
• Entanglement based observables for quantum impurities
• Abrupt disappearance and reemergence of the SU(2) and SU(4) Kondo effects due to population inversion
• Cavity-mediated coherent coupling between distant quantum dots
• Entanglement spectrum of mixed states
• Tensor network influence functionals in the continuous-time limit: connections to quantum embedding, bath discretization, and higher-order time propagation
• Tuning a two-impurity Kondo system by a moiré superstructure
• The $SU(4)-SU(2)$ crossover and spin filter properties of a double quantum dot nanosystem
• Hierarchical entanglement shells of multichannel Kondo clouds
• Equilibrium and real-time properties of the spin correlation function in the two-impurity Kondo model
• Coherent exchange-coupled nonlocal Kondo impurities
• Programmable Kondo Effect Formed by Landau Levels
• Finite Temperature Minimal Entangled Typical Thermal States Impurity Solver