IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v123y1984i2p577-585.html
   My bibliography  Save this article

Self-dual transfer matrix renormalization for the triangular Potts model

Author

Listed:
  • Kim, Doochul

Abstract

The transfer matrix renormalization method is utilized to obtain an approximate renormalization group transformation for the Potts model on triangular lattice with two- and three-site interactions in every other triangular face. The transformation preserves exact duality of the model and hence produces exact critical surfaces. Fixed point and scaling exponents are found to be identical to that of the hamiltonian version of the model.

Suggested Citation

  • Kim, Doochul, 1984. "Self-dual transfer matrix renormalization for the triangular Potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(2), pages 577-585.
    • Handle: RePEc:eee:phsmap:v:123:y:1984:i:2:p:577-585
    DOI: 10.1016/0378-4371(84)90173-0
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437184901730
    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(84)90173-0?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. Den Nijs, M.P.M., 1979. "The Kadanoff lowerbound renormalization transformation for the q-state Potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 95(3), pages 449-472.
    2. Unknown, 1978. "Facilities for Insect Research and Production," Technical Bulletins 157863, United States Department of Agriculture, Economic Research Service.
    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. Anglès d'Auriac, J.C. & Maillard, J.M. & Rollet, G. & Wu, F.Y., 1994. "Zeroes of the triangular Potts model partition function: a conjectured distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(3), pages 441-453.
    3. Mariz, A.M. & Nobre, F.D. & de Souza, E.S., 1991. "Criticality of the bond-diluted Z(4) ferromagnet on the square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 178(2), pages 364-375.
    4. Taggart, G.Bruce, 1982. "Correlated effective field approximation for the dilute Ising ferromagnet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(1), pages 34-44.
    5. Horiguchi, T. & Gonçalves, L.L., 1985. "Mixed spin Ising models with two-spin interactions and three-spin interactions of the diced lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 133(3), pages 460-472.
    6. Blöte, H.W.J & Nightingale, M.P, 1982. "Critical behaviour of the two-dimensional Potts model with a continuous number of states; A finite size scaling analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(3), pages 405-465.
    7. Nishimori, Hidetoshi, 1979. "Transition point of the five-state discrete vector model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 97(3), pages 589-596.
    8. Meir, Yigal & Aharony, Amnon, 1989. "Viscous fingers on fractals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(1), pages 524-528.

    More about this item

    Statistics

    Access and download statistics

    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:123:y:1984:i:2:p:577-585. 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.