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Wilson’s numerical renormalization group

  • Theo Costi
Introductory Lectures
Part of the Lecture Notes in Physics book series (LNP, volume 528)

Abstract

The NRG transformation for the Kondo model has developed into a powerful tool for the study of quantum impurity models. It gives information on the many-body eigenvalues and eigenstates of such models on all energy scales and thereby allows the direct calculation of their thermodynamic, dynamic and transport properties.

There is room for further improvement and extensions of the method. The use of a logarithmic discretization of the conduction band, for example, gives rise to insufficient resolution at higher energies. This limits the accuracy with which certain models can be investigated, for examples those arising in the dynamical mean field theory of correlated lattice systems [53]. New approaches [56] for overcoming these difficulties are therefore of interest.

The NRG also has potential to give information on the non-equilibrium transport through correlated impurity systems such as quantum dots [51]. However, away from equilibrium, the absence of a groundstate requires new criteria other than energy for eliminating unimportant states. Ideas based on the DMRG method described in this book are being explored and may prove useful in this context.

Keywords

Impurity Model Anderson Model Numerical Renormalization Group Renormalization Group Transformation Impurity Spin 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1999

Authors and Affiliations

  • Theo Costi
    • 1
  1. 1.Theoretische Physik IIIUniversität AugsburgAugsburgGermany

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