The Numerical Renormalization Group Method for correlated electrons

Abstract

The Numerical Renormalization Group method (NRG) has been developed by Wilson in the 1970's to investigate the Kondo problem. The NRG allows the non-perturbative calculation of static and dynamic properties for a variety of impurity models. In addition, this method has been recently generalized to lattice models within the Dynamical Mean Field Theory. This paper gives a brief historical overview of the development of the NRG and discusses its application to the Hubbard model; in particular the results for the Mott metal-insulator transition at low temperatures.

14 pages, 7 eps-figures included

References in corpus (2)

• Transmission Phase Shift of a Quantum Dot with Kondo Correlations
• The Finite Temperature Mott Transition in the Hubbard Model in Infinite Dimensions

Cited by in corpus (12)

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• Numerical Renormalization Group for Quantum Impurities in a Bosonic Bath
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• Orbital selective insulator-metal transition in V2O3 under external pressure
• Mott transition at large orbital degeneracy: dynamical mean-field theory
• Pseudogaps in the t-J model: Extended DMFT study
• Numerical renormalization group study of the symmetric Anderson-Holstein model: phonon and electron spectral functions
• Ground-state properties of the one-dimensional attractive Hubbard model with confinement: a comparative study
• Metal-insulator transition in the Hubbard model: a simple description including the Kondo effect
• Densities of states of the Falicov-Kimball model off half filling in infinite dimensions
• Efficient treatment of the high-frequency tail of the self-energy function and its relevance for multi-orbital models
• Evolution of the spectrum and the metal-insulator transition in local approximations for many-electron models