Density matrix numerical renormalization group for non-Abelian symmetries

Abstract

We generalize the spectral sum rule preserving density matrix numerical renormalization group (DM-NRG) method in such a way that it can make use of an arbitrary number of not necessarily Abelian, local symmetries present in the quantum impurity system. We illustrate the benefits of using non-Abelian symmetries by the example of calculations for the T-matrix of the two-channel Kondo model in the presence of magnetic field, for which conventional NRG methods produce large errors and/or take a long run-time.

12 pages, 6 figures, PRB format

References in corpus (13)

• The density-matrix renormalization group
• The numerical renormalization group method for quantum impurity systems
• Transport Coefficients of the Anderson Model via the Numerical Renormalization Group
• Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
• Observation of the two-channel Kondo effect
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• A Numerical Renormalization Group approach to Green's Functions for Quantum Impurity Models
• The Non-Abelian Density Matrix Renormalization Group Algorithm
• Generalized Numerical Renormalization Group for Dynamical Quantities
• Magnetotransport through a strongly interacting quantum dot
• Enhanced Conductance Through Side-Coupled Double Quantum Dots
• Dynamical conductance in the two-channel Kondo regime of a double dot system
• Dynamical correlations in the spin-half two-channel Kondo model

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