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Prog. Theor. Phys. Vol. 62 No. 4 (1979) pp. 901-914

Interaction between Localized Moments in Metals

— Perturbation Expansion for the Alexander-Anderson Model —

Kosaku Yamada

College of Engineering, Shizuoka University, Hamamatsu, Shizuoka 432

(Received April 27, 1979)

Abstract:

On the basis of the Alexander-Anderson model for a pair of magnetic impurities, the correlation function between localized moments at neighbouring sites is investigated by the perturbation method with respect to the Coulomb repulsion U. It is shown that the coupling between localized moments in the ground state changes from antiferromagnetic one to ferromagnetic one as the electron number of impurities departs from half-filled case. This result is consistent with the conclusion based on the Hartree-Fock approximation. The spin- and charge-susceptibility and the specific heat for a single impurity are also given as functions of d-electron number and the Coulomb repulsion U.

URL : http://ptp.ipap.jp/link?PTP/62/901/
DOI : 10.1143/PTP.62.901

[ Full Text PDF : FREE ACCESS (869K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Journal of the Physical Society of Japan 60 (1991) pp. 3449-3459 :

   Diagonalization Study of the Two-Impurity Anderson Model

   Takashi Yanagisawa

2. Journal of the Physical Society of Japan 68 (1999) pp. 1997-2005 :

   Magnetic Field Effects on Transport Properties of a Quantum Dot Studied by Modified Perturbation Theory

   Osamu Takagi and Tetsuro Saso

3. Journal of the Physical Society of Japan 68 (1999) pp. 3941-3947 :

   A Unified Theory of Dynamical Mean Field and Spin Fluctuations

   Tetsuro Saso

4. Journal of the Physical Society of Japan 69 (2000) pp. 3912-3916 :

   Investigation of the Two-Particle-Self-Consistent Theory for the Single-Impurity Anderson Model and an Extension to the Case of Strong Correlation

   Tetsuro Saso

5. Progress of Theoretical Physics Vol. 65 No. 5 (1981) pp. 1485-1492 :

   Mixed Valence and Spin States of the Two-Impurity System

   Hiroyuki Kaga

6. Progress of Theoretical Physics Vol. 87 No. 2 (1992) pp. 331-345 :

   Variational Theory for Two-Impurity Anderson Model

   Tetsuro Saso and Haruo Kato

7. Progress of Theoretical Physics Supplement No.108 (1992) pp. 73-88 :

   Excitation Spectra of the Impurity Anderson Model Calculated by the Numerical Renormalization Group Method

   Osamu Sakai, Yukihiro Shimizu and Tadao Kasuya

8. Progress of Theoretical Physics Supplement No.108 (1992) pp. 89-116 :

   Variational and Self-Consistent Perturbational Theories for Generalized Kondo Systems

   Tetsuro Saso

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