Numerical renormalization group for quantum impurities in a bosonic bath
By R. Bulla, Hyunjik Lee, N. Tong, M. Vojta. 2004
137 citations recorded by the source corpus.
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 with respect to 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.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/bb0b957c067bcf889ca8fff4c830441bf606f01f
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Numerical renormalization group method for quantum impurity systems (2007, methodology): “…as the single-impurity Anderson model, the iterative diagonalization of the model in the semi-infinite chain form is much more convenient since one site of the chain can be added in each step without violating particle-hole symmetry (for a detailed discussion of this point see Bulla et al. (2005)).”