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Prog. Theor. Phys. Vol. 43 No. 3 (1970) pp. 578-600

[ Full Text PDF : FREE ACCESS (1206K) ]

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

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

(Received September 24, 1969)

Abstract:

Recent two publications by Yosida and Yoshimori have clarified the detailed electronic structure of the singlet collective bound state developed so far by them and by Okiji. In this paper, by means of their method, the magnetic-field dependence of the local electronic structure of the ground state is investigated. In particular, it is shown that the z-component of the spin correlation which sticks around the impurity remains unchanged even in the limit of increasing field. From this calculation, an expression for the magnetoresistance is inferred with the aid of the Friedel sum rule:
R(Δ) = R0 cos 2 (π/ 2) (Δ/ (\tildeE02 + Δ2)1/2),
where \tildeE0 denotes the binding energy of the singlet state and Δ the Zeeman energy of the free spin. It is to be noticed that this has no logarithmic field dependence. It is further shown that the relation <σ> = (ρJ/2N) <Sz> holds generally between the spin polarization of the conduction electrons and the induced localized spin.


URL : http://ptp.ipap.jp/link?PTP/43/578/
DOI : 10.1143/PTP.43.578

[ Full Text PDF : FREE ACCESS (1206K) ] Citation:

References:

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Citing Article(s) :

  1. 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
  2. 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
  3. 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
  4. Progress of Theoretical Physics Vol. 50 No. 2 (1973) pp. 370-377 :
    Effects of Singlet Ground State on a Superconductor
    kazushige Machida
  5. Progress of Theoretical Physics Vol. 50 No. 6 (1973) pp. 1777-1796 :
    Ground State of a Pair of Localized Spins in Metals
    Hiroumi Ishii
  6. Progress of Theoretical Physics Vol. 50 No. 6 (1973) pp. 1797-1823 :
    On the de Haas-van Alphen Effect in Dilute Copper Alloys Containing Transition-Metal Impurities
    Hiroyuki Shiba
  7. Progress of Theoretical Physics Vol. 55 No. 5 (1976) pp. 1373-1383 :
    Spin Polarization in the Anderson Model
    Hiroumi Ishii

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