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Correlation Effects in the Rotationally Invariant Asymmetric Anderson Model
Author(s) -
Martínez G.,
Ramírez R.
Publication year - 1984
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221240216
Subject(s) - asymmetry , physics , anderson impurity model , invariant (physics) , ground state , electron , valence (chemistry) , zero temperature , quantum mechanics , condensed matter physics , mathematics
Abstract The asymmetric single orbital Anderson model is examined in the contextof formation of localized magnetic moments. Full rotational invariance is preserved in a treatment which completely includes d—d correlations and is perturbative in the hybridization parameter V. Finite values for the host bandwidth B are considered. Physical quantities such as the average occupation number of local electrons, spectral density functions, and the mean square value of the magnetization are evaluated for the single‐occupied ground state of this system at zero temperature and for general asymmetry. These quantities are found to be continuous functions ofthe model parameters. It is argued the strongly asymmetric case, relevant for mixed valence situations, is hard to reach. Numerical results are given in the weak coupling asymmetric regime and compared to other variational approaches.