---

Prog. Theor. Phys. Vol. 42 No. 2 (1969) pp. 174-195

Magnetic Properties of Low Dimensional Spin Systems

Kazuko Kawasaki

Department of Physics, Kyoto University, Kyoto

(Received January 13, 1969)

Abstract:

Using the method of the two-time Green's function, both static and dynamic properties of low dimensional spin systems with an anisotropic exchange interaction were investigated. It was shown that the magnetic behaviours of one- and two-dimensional spin systems are considerably different from those of the usual three-dimensional systems. That is, the transition temperature is lower than that expected from the magnitude of the coupling constant when an anisotropy is small enough. The short range order is developed more remarkably in the neighbourhood of the transition temperature. The damping constant increases in both ferro- and antiferromagnet with decreasing temperature owing to the anomalous growth of fluctuation. At the same time a broad shoulder is developed in the line shape, which may be considered as indicating quasi-collective modes of motion which persist in the paramagnetic phase.

URL : http://ptp.ipap.jp/link?PTP/42/174/
DOI : 10.1143/PTP.42.174

[ Full Text PDF : FREE ACCESS (1312K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. T. Haseda and A. R. Miedema, Physica 27 (1961), 1102[CrossRef].
   T. Haseda and H. Kobayashi, J. Phys. Soc. Jpn. 19 (1964), 1260[JPSJ].
2. M. Date, J. Phys. Soc. Jpn. 11 (1956), 1016[JPSJ].
   S. Saito, Phys. Lett. A 24 (1967), 442[CrossRef].
   S. Saito and E. Kanda, J. Phys. Soc. Jpn. 22 (1967), 1241[JPSJ].
3. M. Date, M. Motokawa and H. Yamazaki, J. Phys. Soc. Jpn. 18 (1963), 911[JPSJ].
4. M. Date and M. Motokawa, J. Phys. Soc. Jpn. 24 (1968), 41[JPSJ].
   H. Kobayashi and T. Haseda, J. Phys. Soc. Jpn. 19 (1964), 765[JPSJ].
5. L. Onsager, Phys. Rev. 65 (1944), 117[APS].
6. C. N. Yang, Phys. Rev. 85 (1952), 808[APS].
7. M. E. Fisher, Proc. Roy. Soc. A 254 (1960), 66.
8. C. Domb, Adv. in Phys. 9 (1960), 149.
9. J. C. Bonner and M. E. Fisher, Phys. Rev. 135 (1964), 640[APS].
10. S. Katsura, Phys. Rev. 127 (1962), 1508[APS]; Ann. of Phys. 31 (1965), 325[CrossRef].
    S. Katsura and S. Inawashiro, J. Math. Phys. (1964), 1091.
11. N. D. Mermin and H. Wagner, Phys. Rev. Lett. 17 (1966), 1133[APS].
12. a) L. N. Bulaevskii, JETP 43 (1962), 958 [English Transl: Sov. Phys. -JETP 16 (1963), 685].
    b) S. Inawashiro and S. Katsura, Phys. Rev. 140 (1965), A892[APS].
    c) R. B. Griffiths, Phys. Rev. A 133 (1964), 768[APS].
13. K. Kawasaki, Ann. of Phys. 37 (1966), 142[CrossRef].
    P. M. Richard, Phys. Rev. 142 (1966), 189[APS]; ibid. 142 (1966), 196[APS].
    F. Carboni and P. M. Richard, J. Appl. Phys. 39 (1968), 967[CrossRef].
    T. Niemeijer, Physica 36 (1967), 377[CrossRef]; ibid. 39 (1968), 327[CrossRef].
14. Y. Kuramoto, Prog. Theor. Phys. 40 (1968), 36[PTP].
15. K. Tomita and M. Tanaka, Prog. Theor. Phys. 29 (1963), 528[PTP]; ibid. 29 (1963), 651[PTP]; ibid. 33 (1965), 1[PTP].
16. D. N. Zubarev, Uspekhi Fiz. Nauk SSSR III 71 (1960).
17. K. Tomita, to be published.
18. K. Kawasaki and H. Mori, Prog. Theor. Phys. 28 (1962), 690[PTP].
19. R. A. Tahir-Kheli and D. ter Haar, Phys. Rev. 127 (1962), 88[APS].
    T. Oguchi and A. Honma, J. Appl. Phys. 34 (1963), 1153[CrossRef].
    H. B. Callen, Phys. Rev. 130 (1963), 890[APS].
    T. Oguchi, Phys. Rev. 133 (1964), 1098[APS].
    M. E. Lines, Phys. Rev. 131 (1963), 540[APS]; ibid. 133 (1964), A841[APS]; ibid. 135 (1964), A1336[APS]; ibid. 139 (1965), A1304[APS].
    N. W. Dalton and D. W. Wood, Proc. Phys. Soc. 90 (1967), 459.
    M. E. Lines and E. D. Jones, Phys. Rev. 139 (1965), A1313[APS]; ibid. 141 (1966), 525[APS].
    K. Tomita, M. Tanaka, T. Kawasaki and K. Hiramatsu, Prog. Theor. Phys. 29 (1963), 817[PTP].
    T. Kawasaki, K. Kawasaki, M. Tanaka and K. Tomita, Prog. Theor. Phys. 30 (1963), 729[PTP].
    M. Tanaka, Prog. Theor. Phys. 31 (1964), 177[PTP].
    T. Kawasaki, Prog. Theor. Phys. 34 (1965), 357[PTP].
    S. Katsura and T. Horiguchi, J. Phys. Soc. Jpn. 25 (1968), 60[JPSJ].
20. R. Kubo, J. Phys. Soc. Jpn. 12 (1957), 570[JPSJ].
21. a) See, for example, M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (National Bureau of Standards, 1964), p. 587.
    b) M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (National Bureau of Standards, 1964), p. 919.
22. K. Tomita, Proc. Phys. Soc. 88 (1966), 293.
    See, for example, R. Brout, Statistical Mechanics of Ferromagnetism, in Magnetism, edited by G. T. Rado and H. Suhl (Academic-Press, New-York), IIA (1965).
23. H. Mori, Brookhaven National Laboratory Technical Report No. BNL (C-45) (1966), p. 940.
24. R. Kubo and K. Tomita, J. Phys. Soc. Jpn. 9 (1954), 45[JPSJ].
    P. W. Anderson, Phys. Rev. 9 (1958), 316[APS].
    J. H. Van Vleck, Phys. Rev. 74 (1968), 1168[APS].
25. K. Tomita and K. Kawasaki, to be submitted to Prog. Theor. Phys.

Citing Article(s) :

1. Journal of the Physical Society of Japan 69 (2000) pp. 3696-3703 :

   Site Dilution Study of a Square Lattice Heisenberg Antiferromagnet with S= 5/ 2 Covering the Percolation Threshold

   Kazuyoshi Takeda, Osamu Fujita, Masako Hitaka, Masaki Mito, Tatsuya Kawae, Yoshihiro Higuchi, Hiroyuki Deguchi, Yoshinori Muraoka, Kazuko Zenmyo, Hidenori Kubo, Masahiko Tokita and Kazuo Yamagata

2. Progress of Theoretical Physics Vol. 45 No. 1 (1971) pp. 1-24 :

   Critical Magnetic Relaxation

   Kazuhisa Tomita and Tatuo Kawasaki

3. Progress of Theoretical Physics Vol. 49 No. 6 (1973) pp. 1858-1876 :

   Dynamical Properties of One-Dimensional Heisenberg Model

   Kazuhisa Tomita and Kazuko Kawasaki

4. Progress of Theoretical Physics Vol. 49 No. 6 (1973) pp. 2163-2164 :

   Paramagnetic Resonance Line Width of a Linear Chain

   Hiroyuki Mashiyama

---

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.