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Generalized Numerical Renormalization Group for Dynamical Quantities
Open accessAbstract
In this paper we introduce a new approach for calculating dynamical properties within the numerical renormalization group. It is demonstrated that the method previously used fails for the Anderson impurity in a magnetic field due to the absence of energy scale separation. The problem is solved by evaluating the Green function with respect to the reduced density matrix of the full system, leading to accurate spectra in agreement with the static magnetization. The new procedure provides a unifying framework for calculating dynamics at any temperature and represents the correct extension of Wilson's original thermodynamic calculation.
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Citations
Cites
Density matrix formulation for quantum renormalization groups
White, S. R. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.2863 · Cited by 7,702
Cited by
Sum-Rule Conserving Spectral Functions from the Numerical Renormalization Group
Weichselbaum, A., & von Delft, J. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.076402 · Cited by 371
Tensor product methods and entanglement optimization for ab initio quantum chemistry
Szalay, S., Pfeffer, M., Murg, V., Barcza, G., Verstraete, F., Schneider, R., & Legeza, Ö. (2015) · International Journal of Quantum Chemistry · doi:10.1002/qua.24898 · Cited by 314
Simulating strongly correlated quantum systems with tree tensor networks
Murg, V., Verstraete, F., Legeza, Ö., & Noack, R. M. (2010) · Physical Review B · doi:10.1103/physrevb.82.205105 · Cited by 245
Metadata
- Authors
- Hofstetter, W.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2000-08-14
- Volume
- 85
- Issue
- 7
- Pages
- 1508-1511
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1990149165
- Cited by
- 227
- References
- 1
- FWCI
- 3.79
- Type
- journal article
- Language
- en
- Open access
- green
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