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Prog. Theor. Phys. Vol. 50 No. 1 (1973) pp. 37-49

Bound States Due to a Pair of Interacting Magnetic Impurities in Metals

Koi Sato and Yosuke Nagaoka

Department of Physics, Nagoya University, Nagoya

(Received February 3, 1973)

Abstract:

The bound states of conduction electrons due to a pair of magnetic impurities interacting via an exchange interaction are investigated by the Yosida theory within the zeroth approximation. The binding energy is obtained as a function of the distance between impurities and the strength of the exchange interaction between them. Though the result shows some unphysical features caused by the approximation, it gives a qualitatively reasonable interpolation among some limiting cases where the exact result is obtainable.

URL : http://ptp.ipap.jp/link?PTP/50/37/
DOI : 10.1143/PTP.50.37

[ Full Text PDF : FREE ACCESS (917K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. J. Kondo, Prog. Theor. Phys. 32 (1964), 37[PTP].
2. A. A. Abrikosov, Physics 2 (1965), 5.
3. K. Yosida and A. Yoshimori, Prog. Theor. Phys. 42 (1969), 753[PTP].
   Other references on the Yosida theory are cited therein.
4. As a review on the theory of the Kondo effect, see, e. g.,
   J. Kondo, Solid State Phys. 23 (1969), 183.
5. T. L. Tholence and R. Tournier, Phys. Rev. Lett. 25 (1970), 867[APS].
6. W. M. Star, F. B. Baster, G. M. Nap, E. De Vroede and C. Van Baarle, Physica 58 (1972), 585[CrossRef].
   W. M. Star, Physica 58 (1972), 623[CrossRef].
   W. M. Star, E. De Vroede and C. Van Baarle, Physica 59 (1972), 128[CrossRef].
7. M. T. Béal-Monod, Phys. Rev. 178 (1969), 874[APS].
   K. Matho and M. T. Béal-Monod, Phys. Rev. B 5 (1972), 1899[APS]; J. Phys. F 3 (1973), 136[IoP STACKS].
8. K. Sato and Y. Nagaoka, Prog. Theor. Phys. 47 (1972), 348[PTP]; ibid. 49 (1973), 1377[PTP].
9. K. Yosida, Phys. Rev. 106 (1957), 893[APS].
10. S. Nakajima, Prog. Theor. Phys. 39 (1968), 1402[PTP].
11. H. Ishii, private communication.

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 50 No. 6 (1973) pp. 1777-1796 :

   Ground State of a Pair of Localized Spins in Metals

   Hiroumi Ishii

2. Progress of Theoretical Physics Vol. 53 No. 2 (1975) pp. 366-385 :

   Bound State Due to a Pair of Interacting Magnetic Impurities in Metals. II

   Koi Sato and Yosuke Nagaoka

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

   Variational Theory for Two-Impurity Anderson Model

   Tetsuro Saso and Haruo Kato

4. 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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