Generalized Numerical Renormalization Group for Dynamical Quantities

Abstract

In this paper we introduce a new approach for calculating dynamical properties within the numerical renormalization group. It is demonstrated that the method previously used fails for the Anderson impurity in a magnetic field due to the absence of energy scale separation. The problem is solved by evaluating the Green function with respect to the reduced density matrix of the full system, leading to accurate spectra in agreement with the static magnetization. The new procedure (denoted as DM-NRG) provides a unifying framework for calculating dynamics at any temperature and represents the correct extension of Wilson's original thermodynamic calculation.

4 pages RevTeX, 6 eps figures included

References in corpus (1)

• Electron transport through a metal-molecule-metal junction

Cited by in corpus (161)

• The numerical renormalization group method for quantum impurity systems
• Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
• Sum-rule Conserving Spectral Functions from the Numerical Renormalization Group
• New Trends in Density Matrix Renormalization
• Tensor product methods and entanglement optimization for ab initio quantum chemistry
• Finite temperature numerical renormalization group study of the Mott-transition
• Energy resolution and discretization artefacts in the numerical renormalization group
• Non-abelian symmetries in tensor networks: a quantum symmetry space approach
• Kondo Correlations and the Fano Effect in Closed AB-Interferometers
• A Numerical Renormalization Group approach to Green's Functions for Quantum Impurity Models
• Simulating Strongly Correlated Quantum Systems with Tree Tensor Networks
• Spin Precession and Real Time Dynamics in the Kondo Model: A Time-Dependent Numerical Renormalization-Group Study
• Mott--Hubbard transition vs. Anderson localization of correlated, disordered electrons
• NRG study of the Kondo effect in the presence of itinerant-electron ferromagnetism
• Thermoelectric transport through strongly correlated quantum dots
• SU(4) Fermi Liquid State and Spin Filtering in a Double Quantum Dot System
• Kondo effect in a quantum dot coupled to ferromagnetic leads: A numerical renormalization group analysis
• Quantum tunneling induced Kondo effect in single molecular magnets
• Strongly correlated regimes in a double quantum-dot device
• Many Body Effects on the Transport Properties of Single-Molecule Devices
• Antiferromagnetic Order of Strongly Interacting Fermions in a Trap: Real-Space Dynamical Mean-Field Analysis
• Quantum Phase Transition in a Multi-Level Dot
• Variational matrix product state approach to quantum impurity models
• Spin-1/2 Kondo effect in an InAs nanowire quantum dot: the Unitary limit, conductance scaling and Zeeman splitting
• Shiba states and zero-bias anomalies in the hybrid normal-superconductor Anderson model
• Probing spin and orbital Kondo effects with a mesoscopic interferometer
• Supersolid Bose-Fermi Mixtures in Optical Lattices
• Interaction effects on a Majorana zero mode leaking into a quantum dot
• Spin effects in single electron tunneling
• Fano-Kondo effect in side-coupled double quantum dots at finite temperatures and the importance of the two-stage Kondo screening
• On the applicability of the equations-of-motion technique for quantum dots
• Kondo Effects in Carbon Nanotubes: From SU(4) to SU(2) symmetry
• Kondo-transport spectroscopy of single molecule magnets
• Interference in interacting quantum dots with spin
• Transport properties and Kondo correlations in nanostructures: the time-dependent DMRG method applied to quantum dots coupled to Wilson chains
• Developments in the Tensor Network -- from Statistical Mechanics to Quantum Entanglement
• Spin-thermopower in interacting quantum dots
• Kondo decoherence: finding the right spin model for iron impurities in gold and silver
• Observation of Coexistence of Yu-Shiba-Rusinov States and Spin-Flip Excitations
• Density matrix numerical renormalization group for non-Abelian symmetries
• Properties of anisotropic magnetic impurities on surfaces
• Magnetotransport through a strongly interacting quantum dot
• Tensor networks and the numerical renormalization group
• Quantum transport through a deformable molecular transistor
• Enhanced Conductance Through Side-Coupled Double Quantum Dots
• Kondo quantum dot coupled to ferromagnetic leads: Numerical renormalization group study
• Renormalized perturbation calculations for the single impurity Anderson model
• Mechanism for large thermoelectric power in negative-U molecular quantum dots
• Reconstructing non-equilibrium regimes of quantum many-body systems from the analytical structure of perturbative expansions
• Non-equilibrium Differential Conductance through a Quantum Dot in a Magnetic Field
• Electron-phonon interaction and antiferromagnetic correlations
• Competition between Anderson localization and antiferromagnetism in correlated lattice fermion systems with disorder
• Exploring the Kondo model in and out of equilibrium with alkaline-earth atoms
• Singlet-Triplet Transition in lateral Quantum Dots: A Numerical Renormalization Group Study
• Spectral function of the Kondo model in high magnetic fields
• Magnetic Field Effects on Quasiparticles in Strongly Correlated Local Systems
• Driven dissipative dynamics and topology of quantum impurity systems
• Splitting of the Kondo resonance in anisotropic magnetic impurities on surfaces
• Density-matrix renormalisation group approach to quantum impurity problems
• Interference and interaction effects in multi-level quantum dots
• Numerical renormalization group study of two-channel three-impurity triangular clusters
• Universal dephasing rate due to diluted Kondo impurities
• Hierarchical equations of motion for impurity solver in dynamical mean-field theory
• Nonequilibrium magnetotransport through a quantum dot: An interpolative perturbative approach
• Competition between antiferromagnetic and charge order in the Hubbard-Holstein model
• Interleaved numerical renormalization group as an efficient multiband impurity solver
• Observation of the frozen charge of a Kondo resonance
• Two-stage Kondo effect in side-coupled quantum dots: Renormalized perturbative scaling theory and Numerical Renormalization Group analysis
• Mott-Hubbard metal-insulator transition at non-integer filling
• Field-dependent dynamics of the Anderson impurity model
• Phase lapses in transmission through interacting two-level quantum dots
• Anderson-Hubbard model with box disorder: Statistical dynamical mean-field theory investigation
• Many-body Correlation Effect on Mesoscopic Charge Relaxation
• Adaptive logarithmic discretization for numerical renormalization group methods
• Low-energy scales and temperature-dependent photoemission of heavy fermions
• Quantum phase transition in the two-band Hubbard model
• Kondo Phase in Twisted Bilayer Graphene -- A Unified Theory for Distinct Experiments
• Hidden Caldeira-Leggett dissipation in a Bose-Fermi Kondo model
• Magnetoconductance through a vibrating molecule in the Kondo regime
• Kondo effect with non collinear polarized leads: a numerical renormalization group analysis
• Nonequilibrium Dynamics of Anisotropic Large Spins in the Kondo Regime: Time-Dependent Numerical Renormalization Group Analysis
• Functional renormalization group approach to the Anderson impurity model
• Kondo effect in coupled quantum dots with RKKY interaction: Finite temperature and magnetic field effects
• Generalization of the Time-Dependent Numerical Renormalization Group Method to Finite Temperatures and General Pulses
• Van Hove singularities in the paramagnetic phase of the Hubbard model: a DMFT study
• Padé approximants for improved finite-temperature spectral functions in the numerical renormalization group
• Spin-polarized conductance in double quantum dots: Interplay of Kondo, Zeeman and interference effects
• A Novel Approach to Study Highly Correlated Nanostructures: The Logarithmic Discretization Embedded Cluster Approximation
• From Slater to Mott-Heisenberg physics: The antiferromagnetic phase of the Hubbard model
• Detection of Majorana edge states in topological superconductors through the non-Fermi-liquid effects induced in an interacting quantum dot
• Full density matrix numerical renormalization group calculation of impurity susceptibility and specific heat of the Anderson impurity model
• Frequency-dependent transport through a quantum dot in the Kondo regime
• Phase diagram of the frustrated Hubbard model
• Convergence acceleration and stabilization for dynamical-mean-field-theory calculations
• Theory of Core-Level Photoemission and the X-ray Edge Singularity Across the Mott Transition
• Numerical sub-gap spectroscopy of double quantum dots coupled to superconductors
• Polaronic Quasiparticles in a Strongly Correlated Electron Band
• Manipulating Majorana zero modes in double quantum dots
• Generalized Dynamical Mean-Field Theory for Bose-Fermi Mixtures in Optical Lattices
• SU(3) Anderson impurity model: A numerical renormalization group approach exploiting non-Abelian symmetries
• Magnetic Field Dependence of Dephasing Rate due to Diluted Kondo Impurities
• Kondo resonance line-shape of magnetic adatoms on decoupling layers
• Dissipation-induced quantum phase transition in a quantum box
• Lifshitz phase transitions in the ferromagnetic regime of the Kondo lattice model
• Dynamical conductance in the two-channel Kondo regime of a double dot system
• Spin-charge separation and simultaneous spin and charge Kondo effect
• Magnetic Field Universality of the Kondo Effect Revealed by Thermocurrent Spectroscopy
• Non-Fermi-liquid phases in the two-band Hubbard model: Finite-temperature exact diagonalization study of Hund's rule coupling
• Variational Numerical Renormalization Group: Bridging the gap between NRG and Density Matrix Renormalization Group
• Quantitative determination of the discretization and truncation errors in the numerical renormalization-group calculations of spectral functions
• Magnetic field effects in few-level quantum dots: theory, and application to experiment
• Magnetic impurities in spin-split superconductors
• Spectral function of the Anderson impurity model at finite temperatures
• Correlated electrons in the presence of disorder
• Quasiparticle excitations and dynamic susceptibilities in the BCS-BEC crossover
• Kondo resonance for orbitally degenerate systems
• Kondo effect in spin-orbit mesoscopic interferometers
• Spin susceptibility of Anderson impurities in arbitrary conduction bands
• Time-dependent numerical renormalization group method for multiple quenches: towards exact results for the long time limit of thermodynamic observables and spectral functions
• Entanglement switching via the Kondo effect in triple quantum dots
• Magnetic field dependence of the thermopower of Kondo-correlated quantum dots
• Quantum criticality of the sub-ohmic spin-boson model
• Scale free property and edge state of Wilson's numerical renormalization group
• Kondo effect in a carbon nanotube with spin-orbit interaction and valley mixing: A DM-NRG study
• Transport signatures of Kondo physics and quantum criticality in graphene with magnetic impurities
• Discarded weight and entanglement spectra in the Numerical Renormalization Group
• Repulsive vs. attractive Hubbard model: transport properties and spin-lattice relaxation rate
• Regular and singular Fermi liquid in triple quantum dots: Coherent transport studies
• Conductance and Kondo Interference beyond Proportional Coupling
• Assisted hopping and interaction effects in impurity models
• Strongly correlated electrons: Analytic mean-field theories with two-particle self-consistency
• Quantum impurities in channel mixing baths
• Numerical renormalization group calculation of impurity internal energy and specific heat of quantum impurity models
• Dynamical correlations in the spin-half two-channel Kondo model
• Kondo screening in d-wave superconductors in a Zeeman field and implications for STM spectra of Zn-doped cuprates
• Correlation Effects in Side-Coupled Quantum Dots
• Green's functions for spin boson systems: Beyond conventional perturbation theories
• Oscillations of the magnetic polarization in a Kondo impurity at finite magnetic fields
• Relevance of quantum fluctuations in the Anderson-Kondo model
• Numerical Renormalization Group Study of Probability Distributions for Local Fluctuations in the Anderson-Holstein and Holstein-Hubbard Models
• Probing the spin polarization of an Anderson impurity
• The scaling feature of the magnetic field induced Kondo-peak splittings
• Reversal of particle-hole scattering-rate asymmetry in Anderson impurity model
• Leading temperature dependence of the conductance in Kondo-correlated quantum dots
• Dynamical effects on superconductivity in BCS-BEC crossover
• Magnetotransport in the Kondo model with ferromagnetic exchange interaction
• Fine structure of the spectra of the Kondo lattice model: two-site cellular DMFT study
• Spin versus charge noise from Kondo traps
• Equilibrium Dynamics of the Sub-Ohmic Spin-boson Model At Finite Temperature
• Self-energy method for time-dependent spectral functions of the Anderson impurity model within the time-dependent numerical renormalization group approach
• The Anderson impurity model with a narrow-band host: from orbital physics to the Kondo effect
• Superconducting quantum dot and the sub-gap states
• Dynamical Spectral Function From Numerical Renormalization Group: A Full Excitation Approach
• A spin-dependent local moment approach to the Anderson impurity model
• Identifying an effective model for the two-stage-Kondo regime: Numerical renormalization group results
• Quantum impurity with 2/3 local moment in 1D quantum wires: an NRG study
• Zero-Bias Conductance Through Side-Coupled Double Quantum Dots
• Kondo spectral functions at low-temperatures: A dynamical-exchange-correlation-field perspective
• Holographic Aspects of Dynamical Mean-Field Theory
• Distinct effect of Kondo physics on crystal field splitting in electron and spin spectroscopies
• Open Wilson chain numerical renormalization group approach to Green's functions