IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v265y1999i3p547-556.html
   My bibliography  Save this article

Real-space renormalization group approach to the Potts model on the two-dimensional Penrose tiling

Author

Listed:
  • Xiong, Gang
  • Zhang, Zhe-Hua
  • Tian, De-Cheng

Abstract

A one-step real-space renormalization group (RSRG) transformation is used to study the q-state Potts model on the two-dimensional (2D) Penrose tiling (PT). The critical exponents of the correlation length ν(q) in the region between q=1 and q=4 are obtained. The bond percolation (BP) threshold and Ising critical temperature in the isotropic case are also obtained. The comparison of the results with previous results on the PT and the exact results on square lattice (SQL) indicates that the universal classes of q-state Potts model on PT and SQL may be the same.

Suggested Citation

  • Xiong, Gang & Zhang, Zhe-Hua & Tian, De-Cheng, 1999. "Real-space renormalization group approach to the Potts model on the two-dimensional Penrose tiling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 265(3), pages 547-556.
    • Handle: RePEc:eee:phsmap:v:265:y:1999:i:3:p:547-556
    DOI: 10.1016/S0378-4371(98)00647-5
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437198006475
    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)00647-5?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:265:y:1999:i:3:p:547-556. 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.