Strongly correlated electron ground-state energy approximations for Anderson-like models

We report preliminary results of convergence properties for nonperturbative resolvent approximations to Anderson-like models of magnetic ions in metals. Our study is initially focused on the spin- 1/2 Anderson model for magnetic impurities, but the methods studied can include multiplet and crystal-f...

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Bibliographic Details
Published in:Journal of applied physics 1987-04, Vol.61 (8), p.3168-3170
Main Authors: Mancini, Jay D., Potter, Charles D., Bowen, Samuel P.
Format: Article
Language:English
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Summary:We report preliminary results of convergence properties for nonperturbative resolvent approximations to Anderson-like models of magnetic ions in metals. Our study is initially focused on the spin- 1/2 Anderson model for magnetic impurities, but the methods studied can include multiplet and crystal-field effects which are needed for more accurate descriptions of real systems. We will compare the nonperturbative Lanczos method (tridiagonalization) and similar truncation schemes to exact ground-state energies for the impurity model and assess the efficacy of these nonperturbative approaches to understanding the Anderson lattice, heavy fermions, and other strongly interacting electronic systems.
ISSN:0021-8979
1089-7550
DOI:10.1063/1.337829