IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v232y1996i1p477-486.html
   My bibliography  Save this article

Blume-Emery-Griffiths model on the square lattice with repulsive biquadratic coupling

Author

Listed:
  • Branco, N.S.

Abstract

Using a real-space renormalization group procedure with no adjustable parameters, we investigate the Blume-Emery-Griffiths model on the square lattice. The formalism respects sublattice symmetry, allowing the study of both signs of K, the biquadratic exchange coupling. Our results for K > 0 are compared with other renormalization group calculations and with exact results, in order to assess the magnitude of the errors introduced by our approximate calculation. The quantitative agreement is excellent; values for critical parameters differ, in some cases, by less than 1% from exact ones. For K < 0, our results lead to a rich phase diagram, with antiquadrupolar and ferromagnetic ordered phases. Contrarily to Monte Carlo simulations, these two phases meet only at zero temperature. Both antiquadrupolar-disordered and ferromagnetic-disordered transitions are found to be continuous and no ferrimagnetic phase is found.

Suggested Citation

  • Branco, N.S., 1996. "Blume-Emery-Griffiths model on the square lattice with repulsive biquadratic coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 477-486.
    • Handle: RePEc:eee:phsmap:v:232:y:1996:i:1:p:477-486
    DOI: 10.1016/0378-4371(96)00143-4
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437196001434
    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)00143-4?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. Tsallis, Constantino & Ferreira, Ricardo, 1986. "A critical phenomenon approach of biogenesis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(1), pages 336-348.
    2. Licia Valladares & Estela dos Santos Abreu, 1985. "Les couches moyennes, le pouvoir local et la ville. Le cas de Rio de Janeiro," Revue Tiers Monde, Programme National Persée, vol. 26(101), pages 143-153.
    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. Chame, Anna & Tsallis, Constantino, 1990. "Criticality of the discrete N-vector ferromagnet in a cubic lattice with a free surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 165(1), pages 41-63.
    2. Oliveira, Suzana M. & Oliveira, P.M. & Continentino, M.A., 1988. "Site-diluted antiferromagnet in a uniform field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 152(3), pages 477-493.
    3. Silva, Ladário da & Mundim, Kleber Carlos & Tsallis, Constantino, 1998. "Effect of cross-links on the autocatalytic polymerization of RNA-like chains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 259(3), pages 415-429.
    4. Anisimov, M.A & Gorodetskii, E.E & Kulikov, V.D & Povodyrev, A.A & Sengers, J.V, 1995. "A general isomorphism approach to thermodynamic and transport properties of binary fluid mixtures near critical points," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(3), pages 277-324.

    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:232:y:1996:i:1:p:477-486. 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.