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Prog. Theor. Phys. Vol. 42 No. 4 (1969) pp. 753-768

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Local Electron Distribution in the Singlet Ground State Due to the s-d Exchange Interaction

Kei Yosida and Akio Yoshimori

Institute for Solid State Physics, University of Tokyo, Roppongi, Tokyo

(Received May 16, 1969)

Abstract:

On the basis of the theory of singlet ground state for a localized spin developed so far, the total charge and spin localized around the impurity are calculated in detail. It is shown that for ψα-component associated with the localized up-spin state half of a down-spin electron and half of an up-spin hole are trapped by the impurity. This leads to a conclusion with the aid of the Friedel sum rule that a phase shift of the conduction electrons at the Fermi level is ±π/2. It is further shown in general that the localized charge in the ground state completely vanishes for the present s-d exchange Hamiltonian.


URL : http://ptp.ipap.jp/link?PTP/42/753/
DOI : 10.1143/PTP.42.753

[ Full Text PDF : FREE ACCESS (740K) ] Citation:


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Citing Article(s) :

  1. Journal of the Physical Society of Japan 63 (1994) pp. 1059-1070 :
    Fermion-Magnon Bound State in a Spin-Fermion Model
    Hiroshi Shimahara
  2. Journal of the Physical Society of Japan 63 (1994) pp. 4322-4326 :
    Bosonization Approach to the One-Dimensional Kondo Lattice Model
    Satoshi Fujimoto and Norio Kawakami
  3. Journal of the Physical Society of Japan 67 (1998) pp. 61-64 :
    Ground-State Properties of Extended Two-Channel Kondo Model
    Hiroaki Kusunose
  4. Progress of Theoretical Physics Vol. 43 No. 3 (1970) pp. 578-600 :
    Magnetic-Field Dependence of the Local Electronic Structure in the Ground State of the s-d Exchange System and Magnetoresistance at 0°K
    Hiroumi Ishii
  5. Progress of Theoretical Physics Vol. 43 No. 6 (1970) pp. 1458-1479 :
    Self-Consistent Treatment of Anderson Model and Magnetic Susceptibility
    Hiroshi Mamada and Fumihiko Takano
  6. Progress of Theoretical Physics Vol. 44 No. 1 (1970) pp. 47-58 :
    One-Particle Green Function Defined for the s-d Bound State
    Kiyoshi Kawamura
  7. Progress of Theoretical Physics Vol. 45 No. 4 (1971) pp. 1050-1071 :
    One-Particle Green Function Defined for the s-d Bound State. II
    Kiyoshi Kawamura
  8. Progress of Theoretical Physics Vol. 46 No. 2 (1971) pp. 364-386 :
    Bound States Due to a Magnetic Impurity in a Superconductor. I
    Yosuke Nagaoka and Tamifusa Matsuura
  9. Progress of Theoretical Physics Vol. 49 No. 5 (1973) pp. 1483-1502 :
    Singlet Ground State of the Localized d-Electrons Coupled with Conduction Electrons in Metals
    Isamu Okada and Kei Yosida
  10. Progress of Theoretical Physics Vol. 49 No. 6 (1973) pp. 1840-1850 :
    A Study of Next Divergent Terms for the Singlet Ground State of a Localized Spin in Metals
    Akio Sakurai and Akio Yoshimori
  11. Progress of Theoretical Physics 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
  12. Progress of Theoretical Physics Vol. 50 No. 6 (1973) pp. 1777-1796 :
    Ground State of a Pair of Localized Spins in Metals
    Hiroumi Ishii
  13. Progress of Theoretical Physics Supplement No.69 (1980) pp. 232-241 :
    Ground State of the Asymmetric Anderson Model
    Satoru Inagaki