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Prog. Theor. Phys. Vol. 29 No. 4 (1963) pp. 528-549

[ Full Text PDF : FREE ACCESS (1363K) ]

Green's Function Theory of Magnetic Relaxation. I

— General Formulation —

Kazuhisa Tomita and Motoyuki Tanaka

Department of Physics, Faculty of Science, University of Kyoto, Kyoto

(Received November 28, 1962)

Abstract:

It is shown that the method of two-time Green's function may be used as a systematic way of investigating the behaviour of relaxation in magnetic materials. A stochastic assumption has been introduced to terminate the chain of higher order Green's functions. As a result the macroscopic parameter of relaxation in a localized spin assembly is expressed by the interaction constant and the spatial correlation of spin deviations at a single time in an equilibrium assembly. The temperature dependence of the latter quantity may also be calculated by the same method. Only the general formulation is presented in part I, and examples will be given in subsequent publications on the width of resonance in ferro- and antiferromagnetic substances.


URL : http://ptp.ipap.jp/link?PTP/29/528/
DOI : 10.1143/PTP.29.528

[ Full Text PDF : FREE ACCESS (1363K) ] Citation:


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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 29 No. 5 (1963) pp. 651-674 :
    Green's Function Theory of Magnetic Relaxation. II
    Motoyuki Tanaka and Kazuhisa Tomita
  2. Progress of Theoretical Physics Vol. 29 No. 6 (1963) pp. 817-828 :
    Exchange Amalgamation in Paramagnetic Resonance
    Kazuhisa Tomita, Motoyuki Tanaka, Tatuo Kawasaki and Kazuko Hiramatsu
  3. Progress of Theoretical Physics Vol. 30 No. 5 (1963) pp. 729-730 :
    Paramagnetic Susceptibility of a Ferrimagnet
    Tatuo Kawasaki, Kazuko Kawasaki, Motoyuki Tanaka and Kazuhisa Tomita
  4. Progress of Theoretical Physics Vol. 31 No. 2 (1964) pp. 177-196 :
    A Green Function Theory of Ferromagnetic Relaxation
    Motoyuki Tanaka
  5. Progress of Theoretical Physics Vol. 32 No. 1 (1964) pp. 50-64 :
    Note on the Generating Function of Two-Time Green Functions
    Takeo Matsubara
  6. Progress of Theoretical Physics Vol. 33 No. 1 (1965) pp. 1-21 :
    Green's Function Theory of Magnetic Relaxation. III
    Kazuhisa Tomita and Motoyuki Tanaka
  7. Progress of Theoretical Physics Vol. 34 No. 3 (1965) pp. 357-371 :
    A Green Function Theory of Antiferromagnetic Relaxation
    Tatuo Kawasaki
  8. Progress of Theoretical Physics Vol. 34 No. 3 (1965) pp. 399-416 :
    A Continued-Fraction Representation of the Time-Correlation Functions
    Hazime Mori
  9. Progress of Theoretical Physics Vol. 34 No. 5 (1965) pp. 705-725 :
    Perturbation Theory for Magnetic Impurities in Metals
    Bernard Giovannini and Shoichiro Koide
  10. Progress of Theoretical Physics Vol. 39 No. 2 (1968) pp. 331-348 :
    Theory of Nonlinear Susceptibility
    Tatuo Kawasaki
  11. Progress of Theoretical Physics Vol. 41 No. 2 (1969) pp. 322-338 :
    A Self-Consistent Approach to Spin Systems
    Tatuo Kawasaki
  12. Progress of Theoretical Physics Vol. 41 No. 3 (1969) pp. 590-603 :
    Longitudinal Spin Pair Correlation in Ferro- and Antiferromagnets with Uniaxial Anisotropy
    Hideho Tanaka and Kensuke Tani
  13. Progress of Theoretical Physics Vol. 42 No. 2 (1969) pp. 174-195 :
    Magnetic Properties of Low Dimensional Spin Systems
    Kazuko Kawasaki
  14. Progress of Theoretical Physics Vol. 44 No. 5 (1970) pp. 1173-1191 :
    Green's Function Theory of Magnetic Relaxation. IV
    Kazuhisa Tomita and Tatuo Kawasaki
  15. Progress of Theoretical Physics Vol. 45 No. 1 (1971) pp. 1-24 :
    Critical Magnetic Relaxation
    Kazuhisa Tomita and Tatuo Kawasaki
  16. Progress of Theoretical Physics Vol. 48 No. 6 (1972) pp. 1815-1827 :
    A Green-Function Theory of an Anisotropic Ferromagnet
    Motoyuki Tanaka and Yoshiro Kondo
  17. Progress of Theoretical Physics Vol. 49 No. 1 (1973) pp. 355-356 :
    Tomita-Tanaka Approximation in the Ising Limit
    L. A. Murray and B. Frank
  18. Progress of Theoretical Physics Vol. 49 No. 2 (1973) pp. 453-459 :
    A Formalism for Ising Model Cumulant Green Functions
    B. Frank and L. A. Murray
  19. Progress of Theoretical Physics Vol. 49 No. 3 (1973) pp. 714-730 :
    Role of Anisotropy in Spin Dynamics
    Tatuo Kawasaki
  20. Progress of Theoretical Physics Vol. 50 No. 4 (1973) pp. 1422-1424 :
    Magnetic Properties of Uniaxial Ferromagnets
    Motoyuki Tanaka, Hidemi Kitaguchi and Yoshiro Kondo
  21. Progress of Theoretical Physics Vol. 51 No. 4 (1974) pp. 1019-1029 :
    Theory of Line Shape in Nuclear Magnetic Resonance
    Yutaka Doi and Shigeyuki Aono
  22. Progress of Theoretical Physics Vol. 58 No. 2 (1977) pp. 452-466 :
    Longitudinal Correlation Function for an Anisotropic Ferromagnet
    Yoshiro Kondo and Motoyuki Tanaka