A local moment approach to the degenerate Anderson impurity model
arXiv:0908.2245 · doi:10.1088/0953-8984/21/37/375602
Abstract
The local moment approach is extended to the orbitally-degenerate [SU(2N)] Anderson impurity model (AIM). Single-particle dynamics are obtained over the full range of energy scales, focussing here on particle-hole symmetry in the strongly correlated regime where the onsite Coulomb interaction leads to many-body Kondo physics with entangled spin and orbital degrees of freedom. The approach captures many-body broadening of the Hubbard satellites, recovers the correct exponential vanishing of the Kondo scale for all N, and its universal scaling spectra are found to be in very good agreement with numerical renormalization group (NRG) results. In particular the high-frequency logarithmic decays of the scaling spectra, obtained here in closed form for arbitrary N, coincide essentially perfectly with available numerics from the NRG. A particular case of an anisotropic Coulomb interaction, in which the model represents a system of N `capacitively-coupled' SU(2) AIMs, is also discussed. Here the model is generally characterised by two low-energy scales, the crossover between which is seen directly in its dynamics.
arXiv comment23 pages, 7 figures
References in corpus (32)
- The numerical renormalization group method for quantum impurity systems
- Sum-rule Conserving Spectral Functions from the Numerical Renormalization Group
- Numerical Renormalization Group Calculations for the Self-energy of the impurity Anderson model
- Slave-rotor mean field theories of strongly correlated systems and the Mott transition in finite dimensions
- A Numerical Renormalization Group approach to Green's Functions for Quantum Impurity Models
- SU(4) Fermi Liquid State and Spin Filtering in a Double Quantum Dot System
- SU(4) Kondo Effect in Carbon Nanotubes
- Probing spin and orbital Kondo effects with a mesoscopic interferometer
- Electronic Transport Spectroscopy of Carbon Nanotubes in a Magnetic Field
- Quantum phase transition in capacitively coupled double quantum dots
- Evolution of SU(4) Transport Regimes in Carbon Nanotube Quantum Dots
- Anderson impurities in gapless hosts: comparison of renormalization group and local moment approaches
- Zero-bias conductance in carbon nanotube quantum dots
- Field-dependent dynamics of the Anderson impurity model
- Dynamics and transport properties of Kondo insulators
- Single-particle dynamics of the Anderson model: a local moment approach
- On the scaling spectrum of the Anderson impurity model
- Dynamics and scaling in the periodic Anderson model
- New Numerical Results Indicate a Half-Filling SU(4) Kondo State in Carbon Nanotubes
- Kondo insulators in the periodic Anderson model: a local moment approach
- Conserving Diagrammatic Approximations for Quantum Impurity Models: NCA and CTMA
- New method to simulate quantum interference using deterministic processes and application to event-based simulation of quantum computation
- Dynamics and transport properties of heavy fermions: theory
- Optical and transport properties of heavy fermions: theory compared to experiment
- Anderson impurity in a semiconductor
- Conserving approximations in direct perturbation theory: new semianalytical impurity solvers and their application to general lattice problems
- Gate voltage effects in capacitively coupled quantum dots
- Dynamics of capacitively coupled double quantum dots
- Finite temperature dynamics of the Anderson model
- Asymptotically exact mean field theory for the Anderson model including double occupancy
- Single-particle dynamics of the Anderson model: a two-self-energy description within the numerical renormalization group approach
- Interaction effects in mixed-valent Kondo insulators
Cited by in corpus (13)
- Two-channel Kondo phases and frustration-induced transitions in triple quantum dots
- Two-channel Kondo physics in odd impurity chains
- Renormalized parameters and perturbation theory for an n-channel Anderson model with Hund's rule coupling: Asymmetric case
- Common non-Fermi liquid phases in quantum impurity physics
- A multi-orbital iterated perturbation theory for model Hamiltonians and real material-specific calculations of correlated systems
- Systematic Quantum Cluster Typical Medium Method For the Study of Localization in Strongly Disordered Electronic Systems
- Mott insulators and the doping-induced Mott transition within DMFT: exact results for the one-band Hubbard model
- Quantum critical Mott transitions in a bilayer Kondo insulator-metal model system
- Multi-orbital simplified parquet equations for strongly correlated electrons
- Ground-state properties of the symmetric single-impurity Anderson model on a ring from Density-Matrix Renormalization Group, Hartree-Fock, and Gutzwiller theory
- Variational local moment approach: from Kondo effect to Mott transition in correlated electron systems
- Formation of localized magnetic states in a large-spin Fermi system
- The Anderson impurity model with a narrow-band host: from orbital physics to the Kondo effect