IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v174y1991i2p479-503.html
   My bibliography  Save this article

Multi-effective-field theory: Applications to the CAM analysis of the two-dimensional Ising model

Author

Listed:
  • Minami, Kazuhiko
  • Nonomura, Yoshihiko
  • Katori, Makoto
  • Suzuki, Masuo

Abstract

A multi-effective-field theory is formulated and applied to the two-dimensional Ising model from the viewpoint of the coherent-anomaly method (CAM). Two necessary conditions to construct the CAM canonical series are shown. Two series of approximations are derived on 3×3- and 4×4-clusters and with the use of the CAM we estimate the critical exponent of the susceptibility within an error of 0.37 and 0.45 percent, respectively, for the exact value γ = 1.75 where the exact Tc is assumed. This accuracy of the estimation shows the effectiveness of this theory. It is generally proved that certain kinds of approximations with different combinations of effective fields yield exactly the same approximate critical temperature and mean-field coefficient.

Suggested Citation

  • Minami, Kazuhiko & Nonomura, Yoshihiko & Katori, Makoto & Suzuki, Masuo, 1991. "Multi-effective-field theory: Applications to the CAM analysis of the two-dimensional Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 174(2), pages 479-503.
    • Handle: RePEc:eee:phsmap:v:174:y:1991:i:2:p:479-503
    DOI: 10.1016/0378-4371(91)90344-C
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719190344C
    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(91)90344-C?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.

    Citations

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


    Cited by:

    1. Suzuki, Masuo & Minami, Kazuhiko & Nonomura, Yoshihiko, 1994. "Coherent-anomaly method—recent development," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(1), pages 80-100.

    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:174:y:1991:i:2:p:479-503. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.