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Prog. Theor. Phys. Vol. 88 No. 2 (1992) pp. 219-227

[ Full Text PDF : FREE ACCESS (714K) ]

Response of Fully-Frustrated Ising Square Lattice to a Type of Symmetry Breaking Field

Yasuhiro Kasai and Kohzaburo Ohnaka

Department of Mathematical Sciences, Osaka University, Suita 565

(Received March 27, 1992)

Abstract:

The fully-frustrated Ising system without the frozen spin state shows the diverging behavior with the critical index δ= 3 in the response to a replica type of field at low temperature. The replica field provides a relevant external field for a specific Villain-Stephenson universality class treated recently by Horiguchi, Tanaka and Morita.


URL : http://ptp.ipap.jp/link?PTP/88/219/
DOI : 10.1143/PTP.88.219

[ Full Text PDF : FREE ACCESS (714K) ] Citation:

References:

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  2. J. Stephenson, J. Math. Phys. 5 (1964), 1009[CrossRef].
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  12. TIS Project, Tokyo University Ising Machine Project promoted by M. Suzuki, N. Ito and M. Taiji. Unobservability of the exponent δ = 7 for the antiferromagnetic triangular lattice was confirmed by the Ising machine, m-TIS2.
  13. Y. Kasai and K. Ohnaka, Proc. YKIS'88 Kyoto, ed. H. Takayama (Springer, Heidelberg, 1988), p. 221; Prog. Theor. Phys. 82 (1989), 1057[PTP]; J. Magn. Magn. Mater. 91-91 (1990), 291.

Citing Article(s) :

  1. Journal of the Physical Society of Japan 64 (1995) pp. 1200-1210 :
    Critical Responses to Magnetic Field for Fully-Frustrated Square Ising Spin Systems
    Hitoshi Imaoka, Yasuhiro Kasai and Kohzaburo Ohnaka
  2. Progress of Theoretical Physics Vol. 93 No. 1 (1995) pp. 55-66 :
    Critical Responses of Fully-Frustrated Triangular Ising Lattice to External Fields
    Yasuhiro Kasai, Hitoshi Imaoka and Kohzaburo Ohnaka

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