A Numerical Renormalization Group approach to Green's Functions for Quantum Impurity Models

Details A Numerical Renormalization Group approach to Green's Functions for Quantum Impurity Models A Numerical Renormalization Group approach to Green's Functions for Quantum Impurity Models

2006-07-19

arxiv.org/abs/cond-mat/0607494v1

Phys. Rev. B 74, 245114 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

13 pages, 7 figure

Scientific paper

10.1103/PhysRevB.74.245114

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.

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