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Prog. Theor. Phys. Vol. 29 No. 4 (1963) pp. 528-549
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
References:
-
H.B.G. Casimir and F. K. Du Pre, Physica 4 (1938), 579[CrossRef].
- C. J. Gorter, Paramagnetic Relaxation (Amsterdam, 1947).
-
F. Bloch, Phys. Rev. 70 (1946), 1[APS].
-
N. Bloembergen, E. M. Purcell, and R. V. Pound, Phys. Rev. 73 (1948), 679[APS].
-
J. H. Van Vleck, Phys. Rev. 74 (1948), 61[APS].
-
R. K. Wangsness and F. Bloch, Phys. Rev. 89 (1956), 728[APS].
F. Bloch, Phys. Rev. 105 (1957), 77[APS].
-
R. Kubo and K. Tomita, J. Phys. Soc. Jpn. 9 (1954), 45[JPSJ].
- A. Abragam, The Principle of Nuclear Magnetism (Oxford Univ. Press, 1961).
-
F. M. Johnson and Nethercot, Jr., Phys. Rev. 114 (1959), 45[APS].
-
O. H. Douglass Jr. and M. W. P. Strandberg, Physica 27 (1961), 1[CrossRef].
- Ohlman, thesis (Univ. of California, 1960).
-
A. C. Gossard and A. M. Portis, Phys. Rev. Lett. 3 (1959), 164[APS];
J. Appl. Phys. 3 (1956), 205S[AIP Scitation].
-
J. Winter, Phys. Rev. 124 (1961), 452[APS].
- M. Weger, thesis (Univ. of California, Berkley 1961).
-
A. G. Redfield, Phys. Rev. 98 (1955), 163[APS].
- N. N. Bogoliubov and S. V. Tyablikov, Doklady Akad. Nauk SSSR 126 (1959), 53.
T. Matsubara, private communications.
- D. N. Zubarev, Uspekhi fiz. Nauk SSSR 71 (1960).
- Bonch-Bruevich V. L. and S. V. Tyablikov, The Green Function Method in Statistical Mechanics (North-Holland, 1962).
- K. Tomita, J. Phys. Soc. Jpn. 17 (1962) Suppl. BI, p. 71;
J. Phys. Soc. Jpn. 17 (1962), 1903[JPSJ].
-
P. W. Anderson and P. R. Weiss, Rev. Mod. Phys. 25 (1953), 269[APS].
-
R. Kubo, J. Phys. Soc. Jpn. 12 (1957), 570[JPSJ].
- R. Kubo, Lectures in Theoretical Physics (Boulder, 1958) vol. I.
-
R. Kubo, J. Phys. Soc. Jpn. 17 (1962), 1100[JPSJ].
-
Holstein and Primakoff, Phys. Rev. 58 (1940), 1098[APS].
-
L. van Hove, Phys. Rev. 95 (1954), 1374[APS].
-
R. J. Elliott and W. Marshall, Rev. Mod. Phys. 30 (1958), 75[APS].
- P. G. de Gennes, Rapport CEA No. 925 (Saclay, 1959).
-
P. G. de Gennes and J. Villain, J. Phys. Chem. Solids 13 (1960), 10[CrossRef].
- K. Kawasaki and H. Mori, Prog. Theor. Phys. 28 (1962), 690[PTP].
- T. Moriya, Prog. Theor. Phys. 28 (1962), 371[PTP].
-
N. Bloembergen, Physica 15 (1949), 386[CrossRef].
-
P. W. Anderson, Phys. Rev. 109 (1958), 1492[APS].
-
A. M. Portis, Phys. Rev. 104 (1956), 584[APS].
-
Klauder, Jr. and P. W. Anderson, Phys. Rev. 125 (1962), 912[APS].
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