IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v230y1996i3p639-650.html
   My bibliography  Save this article

The phase diagram of the 2D Ising model with anisotropic next-nearest-neighbor and four-spin interactions

Author

Listed:
  • Wang, Fugao
  • Suzuki, Masuo

Abstract

In the present paper, the two-dimensional Ising model with anisotropic nearest-neighbor, next-nearest-neighbor and four-spin interactions has been studied. The ground states and energy of the model have been obtained. The model is equivalent to an eight-vertex model on its dual lattice. In some special cases, the model can be solved exactly as a zero-field eight-vertex model or a free-fermion model. Explicit phase diagrams are obtained exactly.

Suggested Citation

  • Wang, Fugao & Suzuki, Masuo, 1996. "The phase diagram of the 2D Ising model with anisotropic next-nearest-neighbor and four-spin interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(3), pages 639-650.
    • Handle: RePEc:eee:phsmap:v:230:y:1996:i:3:p:639-650
    DOI: 10.1016/0378-4371(96)00116-1
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437196001161
    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(96)00116-1?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. Morita, Hiroshi & Ishii, Hiroaki, 1992. "A stochastic improvement method for stochastic programming," Computational Statistics & Data Analysis, Elsevier, vol. 14(4), pages 477-487, November.
    2. 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.
    3. Horiguchi, Tsuyoshi, 1995. "Decomposition of Ising spin of spin-S Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 214(3), pages 452-460.
    Full references (including those not matched with items on IDEAS)

    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. Minami, Kazuhiko & Suzuki, Masuo, 1993. "Non-universal critical behaviour of the two-dimensional Ising model with crossing bonds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 192(1), pages 152-166.
    2. Kolesik, Miroslav & Suzuki, Masuo, 1995. "Critical exponents of the 3D antiferromagnetic three-state Potts model using the coherent-anomaly method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 216(4), pages 469-477.
    3. Lipowski, Adam, 1998. "Mixed-spin Ising model with four-spin interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 248(1), pages 207-212.
    4. Kolesik, Miroslav & Suzuki, Masuo, 1995. "Accurate estimates of 3D Ising critical exponents using the coherent-anomaly method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 215(1), pages 138-151.
    5. Lipowski, Adam & Horiguchi, Tsuyoshi & Honda, Yasushi, 1997. "Partial ordering at the ground state of frustrated spin-S Ising models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 237(1), pages 297-319.
    6. Kutlu, B., 1997. "Critical exponents of the two-dimensional Ising model with next-nearest-neighbor and four-spin interactions on the Creutz cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 243(1), pages 199-212.

    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:230:y:1996:i:3:p:639-650. 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.