SU(3) Anderson impurity model: A numerical renormalization group approach exploiting non-Abelian symmetries
arXiv:1208.0678 · doi:10.1103/PhysRevB.86.195128
Abstract
We show how the density-matrix numerical renormalization group (DM-NRG) method can be used in combination with non-Abelian symmetries such as SU(N), where the decomposition of the direct product of two irreducible representations requires the use of a so-called outer multiplicity label. We apply this scheme to the SU(3) symmetrical Anderson model, for which we analyze the finite size spectrum, determine local fermionic, spin, superconducting, and trion spectral functions, and also compute the temperature dependence of the conductance. Our calculations reveal a rich Fermi liquid structure.
18 pages, 9 figures
References in corpus (22)
- The density-matrix renormalization group in the age of matrix product states
- The numerical renormalization group method for quantum impurity systems
- Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
- Orbital Kondo effect in carbon nanotubes
- Sum-rule Conserving Spectral Functions from the Numerical Renormalization Group
- Ultracold fermions and the SU(N) Hubbard model
- Numerical Renormalization Group Calculations for the Self-energy of the impurity Anderson model
- Tensor network decompositions in the presence of a global symmetry
- Stability Diagram of a Few-Electron Triple Dot
- Non-abelian symmetries in tensor networks: a quantum symmetry space approach
- A Numerical Renormalization Group approach to Green's Functions for Quantum Impurity Models
- Spin Precession and Real Time Dynamics in the Kondo Model: A Time-Dependent Numerical Renormalization-Group Study
- Generalized Numerical Renormalization Group for Dynamical Quantities
- Color Superfluidity and "Baryon" Formation in Ultracold Fermions
- Variational matrix product state approach to quantum impurity models
- SU(4) and SU(2) Kondo Effects in Carbon Nanotube Quantum Dots
- A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients
- Density matrix numerical renormalization group for non-Abelian symmetries
- Matrix product state comparison of the numerical renormalization group and the variational formulation of the density matrix renormalization group
- Realization of SU(N) Kondo effect in strong magnetic field
- Ground state phase diagram of the repulsive SU(3) Hubbard model in Gutzwiller approximation
- Exact diagonalization study of the trionic crossover and the trion liquid in the attractive three-component Hubbard model
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- DMFT+NRG study of spin-orbital separation in a three-band Hund's metal
- Universal Fermi liquid crossover and quantum criticality in a mesoscopic device
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- The fate of the Kondo cloud in a superconductor
- Generalization of the Time-Dependent Numerical Renormalization Group Method to Finite Temperatures and General Pulses
- SU(3) Kondo effect in spinless triple quantum dots
- Iron impurities in gold and silver: Comparison of transport measurements to numerical renormalization group calculations exploiting non-Abelian symmetries
- QSpace - An open-source tensor library for Abelian and non-Abelian symmetries
- Quantum Quench and Charge Oscillations in the SU(3) Hubbard Model: a Test of Time Evolving Block Decimation with general non-Abelian Symmetries
- Equilibrium Fermi-liquid coefficients for the fully screened N-channel Kondo model
- Equilibrium Quantum Impurity Problems via Matrix Product State Encoding of the Retarded Action
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- Intra- and inter-shell Kondo effects in carbon nanotube quantum dots
- Spin fluctuations after quantum quenches in the S=1 Haldane chain: numerical validation of the semi-semiclassical theory
- The PointGroupNRG code for numerical renormalization group calculations with discrete point-group symmetries
- Quantum criticality and formation of a singular Fermi liquid in the attractive SU(N > 2) Anderson model
- Spin-charge Kondo effect for a quantum dot with side coupled Majorana zero mode
- Computing local multipoint correlators using the numerical renormalization group
- The role of spin-flip assisted or orbital mixing tunneling on transport through strongly correlated multilevel quantum dot
- Fractional shot noise of an SU(N) Kondo system