IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v264y1999i1p149-170.html
   My bibliography  Save this article

Duality relations and equilibrium crystal shapes of Potts models on triangular and honeycomb lattices

Author

Listed:
  • Fujimoto, Masafumi

Abstract

We consider the Q-state Potts models on triangular and honeycomb lattices. For each lattice it is shown that the anisotropic interfacial tension is related to the anisotropic correlation length on the dual lattice. Using the star-triangle transformation, we also find that the anisotropic correlation length on the triangular lattice is the same as that of the honeycomb lattice for Q>4 at the first-order transition point. The anisotropic correlation length is exactly calculated at the first-order transition point by a method which introduces auxiliary edges into the models. From the calculated anisotropic correlation length, the equilibrium droplet shape of one ordered phase embedded inside another is derived via the Wulff construction. The equilibrium shape is written as a simple algebraic curve, which corresponds to the dispersion relation of bound states (in the terminology of spin chains).

Suggested Citation

  • Fujimoto, Masafumi, 1999. "Duality relations and equilibrium crystal shapes of Potts models on triangular and honeycomb lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(1), pages 149-170.
    • Handle: RePEc:eee:phsmap:v:264:y:1999:i:1:p:149-170
    DOI: 10.1016/S0378-4371(98)00393-8
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437198003938
    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/S0378-4371(98)00393-8?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:264:y:1999:i:1:p:149-170. 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.