IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v486y2017icp296-317.html
   My bibliography  Save this article

Evidence for the ferromagnetic frustration in a classical spin-1∕2 system with multisite interaction in external magnetic field: Exact results

Author

Listed:
  • Jurčišinová, E.
  • Jurčišin, M.

Abstract

We investigate the influence of the multisite interaction among sites within elementary triangles of the kagome-like recursive lattice on the properties of the classical spin-1∕2 ferromagnetic Ising model in the external magnetic field. The exact solution of the model is found and it is shown that the model exhibits a nontrivial structure of the first order as well as second order phase transitions in nonzero external magnetic fields related to the multisite interaction. The equation for the exact determination of the positions of the critical points of the second order phase transitions is derived. The thermodynamic properties of the model are investigated in detail and it is shown that the competition between the ferromagnetic interaction and the multisite interaction leads to the appearance of strong ferromagnetic frustration effects represented by the formation of a nontrivial system of macroscopically degenerated plateau-like and single-point-like ground states. The residual entropies of all ground states are found and the kagome spin-ice-like highly macroscopically degenerated plateau state with nonzero magnetization is identified with the exact residual entropy per site s∕kB=ln(4∕3)∕3≈0.095894. The properties of the specific heat are investigated, its Schottky-type behavior near the single-point ground state values of the magnetic field is identified, the existence of large magnetocaloric effect is discussed, and the existence of the first order phase transitions without the specific heat capacity change is demonstrated.

Suggested Citation

  • Jurčišinová, E. & Jurčišin, M., 2017. "Evidence for the ferromagnetic frustration in a classical spin-1∕2 system with multisite interaction in external magnetic field: Exact results," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 296-317.
    • Handle: RePEc:eee:phsmap:v:486:y:2017:i:c:p:296-317
    DOI: 10.1016/j.physa.2017.05.095
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437117306143
    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.2017.05.095?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. Ananikian, N.S. & Izmailian, N.Sh. & Oganessyan, K.A., 1998. "An Ising spin-S model on generalized recursive lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 254(1), pages 207-214.
    2. Monroe, James L., 1998. "Frustrated Ising systems on Husimi trees," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 256(1), pages 217-228.
    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. Jurčišinová, E. & Jurčišin, M., 2019. "Applicability of effective field theory cluster approximations for investigation of geometrically frustrated magnetic systems: Antiferromagnetic model on kagome lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 644-657.
    2. Jurčišinová, E. & Jurčišin, M., 2019. "Relevance of recursive lattice approximations for description of frustrated magnetic systems: Star kagome-like recursive lattice approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 330-351.
    3. Jurčišinová, E. & Jurčišin, M., 2014. "The first order phase transitions in the multisite spin-1/2 model on a pure Husimi lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 375-385.
    4. Jurčišinová, E. & Jurčišin, M., 2016. "Spin-1 Ising model on tetrahedron recursive lattices: Exact results," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 554-568.
    5. Jurčišinová, E. & Jurčišin, M., 2019. "Entropy properties of antiferromagnetic model on kagome lattice: Effective-field theory approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    6. Jurčišinová, E. & Jurčišin, M., 2016. "Exact results for the spin-1 Ising model on pure “square” Husimi lattices: Critical temperatures and spontaneous magnetization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 641-653.

    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:486:y:2017:i:c:p:296-317. 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.