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 (16)
- 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
- 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
- Color Superfluidity and "Baryon" Formation in Ultracold Fermions
- 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