IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v116y1982i3p368-379.html
   My bibliography  Save this article

The boundary between the spin-glass and ferromagnetic states of the bond-random Ising model in the square lattice at T = 0

Author

Listed:
  • Katsura, Shigetoshi
  • Suenaga, Toshiyuki
  • Imaizumi, Takahiro

Abstract

The bond-random (±J) Ising model in the square lattice is considered in the square cluster approximation. The boundary between the ferromagnetic and spin-glass states at T = 0 is obtained as the transition point from the asymmetric distribution of the effective fields to the symmetric distribution. The concentration of this transition, PFG is obtained by solving the integral equation for the distribution function of the effective fields.

Suggested Citation

  • Katsura, Shigetoshi & Suenaga, Toshiyuki & Imaizumi, Takahiro, 1982. "The boundary between the spin-glass and ferromagnetic states of the bond-random Ising model in the square lattice at T = 0," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(3), pages 368-379.
    • Handle: RePEc:eee:phsmap:v:116:y:1982:i:3:p:368-379
    DOI: 10.1016/0378-4371(82)90165-0
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437182901650
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(82)90165-0?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Katsura, Shigetoshi & Inawashiro, Sakari & Fujiki, Sumiyoshi, 1979. "Spin glasses for the infinitely long ranged bond Ising model and for the short ranged binary bond Ising model without use of the replica method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 193-216.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Katsura, Shigetoshi & Matsuno, Akira, 1983. "The transition from the spin-glass to the ferromagnetic state in the bond-random Ising model in the face-centred cubic lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 122(3), pages 483-488.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Katsura, Shigetoshi & Nagahara, Izuru, 1980. "Effect of the frustration to the ground state energy and entropy of the spin-glass in the random bond Ising model on the square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 104(3), pages 397-416.
    2. Akagi, Eiichi & Seino, Mitsuhiro & Katsura, Shigetoshi, 1991. "The free energy at T = 0 of the spin glass in the case of the continuous distribution of the effective field on the Bethe lattice for Z = 4, 5, 6," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 178(3), pages 406-414.
    3. Katsura, Shigetoshi, 1980. "Entropy of the spin-glass state in the binary mixture of the ferro- and antiferromagnetic random Ising model at T = 0," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 104(1), pages 333-338.
    4. Shirakura, Takayuki & Katsura, Shigetoski, 1983. "Spin glass in the infinitely long-ranged bond-random anisotropic classical planar model-longitudinal and transverse spin glasses," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 117(2), pages 281-299.
    5. Sasaki, Mitsuhiro & Katsura, Shigetoshi, 1989. "The asymmetric continuous distribution function of the effective field of the Ising model in the spin glass and the ferromagnetic states on the Bethe lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(3), pages 1195-1202.
    6. Katsura, Shigetoshi & Miyamoto, Nahomi, 1982. "Random Ising model in the magnetic field at T = 0," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(3), pages 393-404.
    7. Morita, T., 1983. "Free energy of the random Ising model in terms of the magnetizations of sites," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 119(1), pages 143-152.
    8. Morita, T., 1984. "Spin-glass and ferromagnetic phases of the random-bond Ising model on the Bethe lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 125(2), pages 321-343.
    9. de Oliveira, Mário J., 1988. "Ising spin glass in a field zero temperature in the Bethe approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 150(3), pages 614-626.
    10. Horiguchi, Tsuyoshi, 1981. "On the bethe approximation for the random bond Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 107(2), pages 360-370.
    11. Katsura, Shigetoshi & Kikuchi, Ryoichi, 1984. "The cluster variation method and the method of the reducibility of density matrices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(2), pages 595-604.
    12. de Oliveira, M.J., 1988. "Ising spin glass in the Bethe approximation at zero temperature," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(3), pages 567-574.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:116:y:1982:i:3:p:368-379. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.