Numerical Renormalization Group Study of the Anderson-Holstein Impurity Model

Details Numerical Renormalization Group Study of the Anderson-Holstein Impurity Model Numerical Renormalization Group Study of the Anderson-Holstein Impurity Model

2001-11-26

arxiv.org/abs/cond-mat/0111496v1

Physics

Condensed Matter

Strongly Correlated Electrons

23 pages, 13 figures, submitted to J. Phys.:Condens. Matter

Scientific paper

10.1088/0953-8984/14/3/312

We present numerical renormalization group (NRG) calculations for a single-impurity Anderson model with a linear coupling to a local phonon mode. We calculate dynamical response functions, spectral densities, dynamic charge and spin susceptibilities. Being non-perturbative, the NRG is applicable for all parameter regimes. Our calculations cover both weak and strong electron-phonon coupling for zero and finite electron-electron interaction. We interpret the high- and low-energy features and compare our results to atomic limit calculations and perturbation theory. In certain restricted parameter regimes for strong electron-phonon coupling, a soft phonon mode develops inducing a very narrow resonance at the Fermi level.

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