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Sum-Rule Conserving Spectral Functions from the Numerical Renormalization Group

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Weichselbaum, Andreas, von Delft, Jan·2007·Physical Review Letters

Abstract

We show how spectral functions for quantum impurity models can be calculated very accurately using a complete set of discarded numerical renormalization group eigenstates, recently introduced by Anders and Schiller. The only approximation is to judiciously exploit energy scale separation. Our derivation avoids both the overcounting ambiguities and the single-shell approximation for the equilibrium density matrix prevalent in current methods, ensuring that relevant sum rules hold rigorously and spectral features at energies below the temperature can be described accurately.

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Metadata

Authors
Weichselbaum, A., & von Delft, J.
Venue
Physical Review Letters
Published
2007-08-16
Volume
99
Issue
7
Pages
076402-076402
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W2148708293
Cited by
371
References
10
FWCI
11.00
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Sum-Rule Conserving Spectral Functions from the Numerical Renormalization Group. https://app.cochat.ai/papers/10.1103/physrevlett.99.076402
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Weichselbaum, A., & von Delft, J. (2007). Sum-Rule Conserving Spectral Functions from the Numerical Renormalization Group. Physical Review Letters. https://doi.org/10.1103/physrevlett.99.076402

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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.