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Sum-Rule Conserving Spectral Functions from the Numerical Renormalization Group
Open accessAbstract
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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Cites
The renormalization group: Critical phenomena and the Kondo problem
Wilson, K. G. (1975) · Reviews of Modern Physics · doi:10.1103/revmodphys.47.773 · Cited by 4,522
The Kondo Problem to Heavy Fermions
Hewson, A. C. (1993) · Cambridge University Press eBooks · doi:10.1017/cbo9780511470752 · Cited by 3,143
The Kondo Problem of Heavy Fermions
Hewson, A. C., & Coleman, P. (1994) · Physics Today · doi:10.1063/1.2808446 · Cited by 2,323
Krishna-murthy, H., Wilkins, J., & Wilson, K. (1980) · Physical Review B · doi:10.1103/physrevb.21.1003 · Cited by 1,066
Anders, F. B., & Schiller, A. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.196801 · Cited by 426
Bulla, R., Tong, N.-H., & Vojta, M. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.170601 · Cited by 265
Anders, F. B., & Schiller, A. (2006) · Physical Review B · doi:10.1103/physrevb.74.245113 · Cited by 264
Numerical renormalization group approach to Green’s functions for quantum impurity models
Peters, R., Pruschke, T., & Anders, F. B. (2006) · Physical Review B · doi:10.1103/physrevb.74.245114 · Cited by 256
Generalized Numerical Renormalization Group for Dynamical Quantities
Hofstetter, W. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.1508 · Cited by 227
Renormalization-group approach to nonequilibrium Green functionsin correlated impurity systems
Costi, T. A. (1997) · Physical review. B, Condensed matter · doi:10.1103/physrevb.55.3003 · Cited by 61
Cited by
The density-matrix renormalization group in the age of matrix product states
Schollwöck, U. (2011) · Annals of Physics · doi:10.1016/j.aop.2010.09.012 · Cited by 4,818
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
- Weichselbaum, A., & von Delft, J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- 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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