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Prog. Theor. Phys. Vol. 35 No. 1 (1966) pp. 16-35

[ Full Text PDF : FREE ACCESS (1089K) ]

Magnetization Process in an Ising Spin System

Junjiro Kanamori

Department of Physics, Faculty of Science, Osaka University, Toyonaka, Osaka

(Received August 28, 1965)

Abstract:

A method of determining the state of lowest energy of an Ising spin system under an external field is proposed. The energy of a spin arrangement is expressed in terms of the total number of negative spins and the numbers of interaction lines connecting either two negative spins or negative and positive spins. It is shown by use of topological relations among these numbers that the magnetization of an Ising spin antiferromagnet increases stepwise at absolute zero with increasing field strength. The spin arrangement at each step is determined of Oguchi and Takano's model of CoCl2·2H2O and the simple, body-centered, face-centered cubic and MnF2 type lattices with nearest and next-nearest neighbor interactions. Experimental results of CoCl2·2H2O are discussed as well.


URL : http://ptp.ipap.jp/link?PTP/35/16/
DOI : 10.1143/PTP.35.16

[ Full Text PDF : FREE ACCESS (1089K) ] Citation:

References:

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  2. A. Narath and D. C. Barham, Bull. Am. Phys. Soc. 9 (1964), 112 (magnetization).
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Citing Article(s) :

  1. ERROR : Mag:29, Vol:688, Page:
  2. Journal of the Physical Society of Japan 57 (1988) pp. 570-579 :
    Exact Ground States of the Lattice Gas Model with Two Kinds of Particles and the Finite-Field Three-State Potts Model on the Square Lattice
    Koichi Takasaki, Takashi Tonegawa and Makoto Kaburagi
  3. Journal of the Physical Society of Japan 59 (1990) pp. 1660-1675 :
    Ground State Analysis of the Lattice Gas Model with Two Kinds of Particles on the Triangular Lattice
    Takashi Tonegawa, Makoto Kaburagi and Junjiro Kanamori
  4. Journal of the Physical Society of Japan 60 (1991) pp. 3818-3822 :
    Impurity Susceptibility in the Ising-LikeAntiferromagnet CoCl22H2O
    Akio Nakanishi and Muneyuki Date
  5. Journal of the Physical Society of Japan 62 (1993) pp. 3954-3964 :
    Modulation of the Magnetic Adlayer by External Field
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  6. Progress of Theoretical Physics Vol. 36 No. 4 (1966) pp. 679-694 :
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  7. Progress of Theoretical Physics Vol. 38 No. 3 (1967) pp. 541-550 :
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  9. Progress of Theoretical Physics Vol. 42 No. 2 (1969) pp. 196-212 :
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  11. Progress of Theoretical Physics Vol. 50 No. 4 (1973) pp. 1426-1428 :
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  13. Progress of Theoretical Physics Vol. 54 No. 1 (1975) pp. 30-44 :
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  14. Progress of Theoretical Physics Vol. 55 No. 5 (1976) pp. 1356-1372 :
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  15. Progress of Theoretical Physics Vol. 56 No. 2 (1976) pp. 435-449 :
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  16. Progress of Theoretical Physics Vol. 58 No. 1 (1977) pp. 1-14 :
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  17. Progress of Theoretical Physics Vol. 77 No. 5 (1987) pp. 1125-1140 :
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  18. Progress of Theoretical Physics Supplement No.115 (1994) pp. 95-113 :
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  19. Progress of Theoretical Physics Supplement No.115 (1994) pp. 221-235 :
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  20. Progress of Theoretical Physics Supplement No.121 (1995) pp. 1-428 :
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