Numerical renormalization group calculations for the self-energy of the impurity Anderson model
Abstract
We present a new method for calculating directly the one-particle self-energy of an impurity Anderson model with Wilson's numerical renormalization group method by writing this quantity as the ratio of two correlation functions. This way of calculating 0953-8984/10/37/021/img5 turns out to be considerably more reliable and accurate than that via the impurity Green's function alone. We give results for the self-energy for the case of a constant coupling between the impurity and the conduction band 0953-8984/10/37/021/img6 and the effective 0953-8984/10/37/021/img7 arising in the dynamical mean-field theory of the Hubbard model. The implications of the problem of the metal-insulator transition in the Hubbard model are also discussed.
- Publication:
-
Journal of Physics Condensed Matter
- Pub Date:
- September 1998
- DOI:
- 10.1088/0953-8984/10/37/021
- arXiv:
- arXiv:cond-mat/9804224
- Bibcode:
- 1998JPCM...10.8365B
- Keywords:
-
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 18 pages, 9 figures, submitted to J. Phys.: Condens. Matter