IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v390y2011i6p1064-1071.html
   My bibliography  Save this article

Exact solution on the magnetism and ferroelectricity in the Ising spin chain

Author

Listed:
  • Qi, Yan
  • Du, An

Abstract

In this paper, we explore the magnetoelectric coupling in Ca3CoMnO6-type compound with the consideration of interaction between spins. Under the linear approximation of nearest-neighbor spin interaction with respect to the ion displacement, both the Hamiltonian and the partition function of the system can be simplified as the summation of two independent items, one is linear harmonic oscillator relevant to the lattice vibration, and the other is only relevant to the spin. We obtain the magnetic and ferroelectric quantities of Ca3CoMnO6-type rigorously on the basis of the transfer-matrix method, qualitatively exhibiting the corresponding curves taken in the presence of temperature for zero magnetic field and various magnetic fields, respectively, and our calculation results are basically consistent with the behaviors in the experiment. We find that the magnetic susceptibility in the absence of magnetic field takes on the features of ferromagnetic Ising-like behavior. Moreover, the influence of different next-nearest-neighbor exchange interaction on the magnetic susceptibility and relative dielectric constant is given as well, exhibiting the corresponding complex response of the magnetic susceptibility based on the up–up–down–down spin structure.

Suggested Citation

  • Qi, Yan & Du, An, 2011. "Exact solution on the magnetism and ferroelectricity in the Ising spin chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(6), pages 1064-1071.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:6:p:1064-1071
    DOI: 10.1016/j.physa.2010.11.010
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843711000974X
    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.2010.11.010?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:390:y:2011:i:6:p:1064-1071. 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.