Numerical Renormalization Group for Quantum Impurities in a Bosonic Bath

Details Numerical Renormalization Group for Quantum Impurities in a Bosonic Bath Numerical Renormalization Group for Quantum Impurities in a Bosonic Bath

2004-07-21

arxiv.org/abs/cond-mat/0407559v2

Phys. Rev. B 71, 045122 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

23 pages, 21 figures; three references and one figure added

Scientific paper

10.1103/PhysRevB.71.045122

We present a detailed description of the recently proposed numerical renormalization group method for models of quantum impurities coupled to a bosonic bath. Specifically, the method is applied to the spin-boson model, both in the Ohmic and sub-Ohmic cases. We present various results for static as well as dynamic quantities and discuss details of the numerical implementation, e.g., the discretization of a bosonic bath with arbitrary continuous spectral density, the suitable choice of a finite basis in the bosonic Hilbert space, and questions of convergence w.r.t. truncation parameters. The method is shown to provide high-accuracy data over the whole range of model parameters and temperatures, which are in agreement with exact results and other numerical data from the literature.

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