IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v392y2013i10p2375-2383.html
   My bibliography  Save this article

Magnetic properties, Lyapunov exponent and superstability of the spin-12 Ising–Heisenberg model on a diamond chain

Author

Listed:
  • Ananikian, N.
  • Hovhannisyan, V.

Abstract

The exactly solvable spin-12 Ising–Heisenberg model on a diamond chain has been considered. We have found the exact results for the magnetization using the recursion relation method. The existence of the magnetization plateau has been observed at one third of the saturation magnetization in the antiferromagnetic case. Some ground-state properties of the model are examined. At low temperatures, the system has two ferrimagnetic (FRI1 and FRI2) phases and one paramagnetic (PRM) phase. Lyapunov exponents for the various values of the exchange parameters and temperatures have been analyzed. It has also been shown that the maximal Lyapunov exponent exhibits plateau. Lyapunov exponents exhibit different behavior for two ferrimagnetic phases. We have found the existence of the supercritical point for the multi-dimensional rational mapping of the spin-12 Ising–Heisenberg model on a diamond chain for the first time in the absence of the external magnetic field and T→0 in the antiferromagnetic case.

Suggested Citation

  • Ananikian, N. & Hovhannisyan, V., 2013. "Magnetic properties, Lyapunov exponent and superstability of the spin-12 Ising–Heisenberg model on a diamond chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(10), pages 2375-2383.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:10:p:2375-2383
    DOI: 10.1016/j.physa.2013.01.040
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437113000927
    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.2013.01.040?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ananikian, N. & Artuso, R. & Poghosyan, H., 2018. "Superstable cycles and magnetization plateaus for antiferromagnetic spin-1 Ising and Ising–Heisenberg models on diamond chains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 892-904.

    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:392:y:2013:i:10:p:2375-2383. 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.