Numerical renormalization group approach to Green's functions for quantum impurity models
By R. Peters, Thomas Pruschke, F. Anders. 2006
183 citations recorded by the source corpus.
We present a novel technique for the calculation of dynamical correlation functions of quantum impurity systems in equilibrium with Wilson’s numerical renormalization group. Our formulation is based on a complete basis set of the Wilson chain. In contrast to all previous methods, it does not suffer from overcounting of excitation. By construction, it always fulfills sum rules for spectral functions. Furthermore, it accurately reproduces local thermodynamic expectation values, such as occupancy and magnetization, obtained directly from the numerical renormalization group calculations. PACS numbers:
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/662e8d5fdfc46fc762b326d81482ba28fb14d487
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Tensor product methods and entanglement optimization for ab initio quantum chemistry (2014, unknown): “O(X (L) i Y (L) j )O † 6= OX i O†OY j O† (188)”
- Numerical renormalization group method for quantum impurity systems (2007, methodology): “…sum rule for spectral densities ∫ ∞ −∞ dωAσ(ω, T ) = 1 is, by con- struction, fulfilled exactly when applied to the spectral density in discrete form and with an error of 10−4 due to numerical integration when applied to the broadened form (Peters et al., 2006; Weichselbaum and von Delft, 2007).”