IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v389y2010i9p1839-1848.html
   My bibliography  Save this article

Phase diagrams of competing quadruple and binary interactions on Cayley tree-like lattice: Triangular Chandelier

Author

Listed:
  • Uğuz, Selman
  • Akin, Hasan

Abstract

We study the phase diagrams for the Ising model on a Cayley tree-like lattice, called Triangular Chandelier, with competing nearest-neighbour interactions J1, prolonged next-nearest-neighbour interactions Jp and one-level next-nearest-neighbour quadruple interactions Jl1. The phase diagrams display the multicritical points (the Lifshitz points) that are at nonzero temperature and many modulated phases. To perform this study, an iterative scheme similar to that appearing in real space renormalization group frameworks is established; it recovers, as particular case, previous work of Vannimenus extension result given by Ganikhodjaev and Uğuz for k=3. At vanishing temperature, the phase diagram is fully determined for all values and signs of J1,Jp and Jl1. At finite temperatures several interesting features are exhibited for typical values of Jl1/J1 and −Jp/J1.

Suggested Citation

  • Uğuz, Selman & Akin, Hasan, 2010. "Phase diagrams of competing quadruple and binary interactions on Cayley tree-like lattice: Triangular Chandelier," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(9), pages 1839-1848.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:9:p:1839-1848
    DOI: 10.1016/j.physa.2009.12.057
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437110000026
    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/j.physa.2009.12.057?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.

    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:389:y:2010:i:9:p:1839-1848. 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.