Sum-rule Conserving Spectral Functions from the Numerical Renormalization Group

Details Sum-rule Conserving Spectral Functions from the Numerical Renormalization Group Sum-rule Conserving Spectral Functions from the Numerical Renormalization Group

2006-07-19

arxiv.org/abs/cond-mat/0607497v2

Phys. Rev. Lett. 99, 076402 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages + 1 page appendix, 2 figures

Scientific paper

10.1103/PhysRevLett.99.076402

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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