IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v220y1995i3p628-647.html
   My bibliography  Save this article

Critical behavior of diluted Heisenberg ferromagnets with competing interactions

Author

Listed:
  • D'Onorio De Meo, M
  • Reger, J.D
  • Binder, K

Abstract

The pure and the site-diluted classical Heisenberg model on the face centered cubic (fcc) lattice with ferromagnetic exchange Jnn between nearest neighbors and antiferromagnetic exchange Jnn = −Jnn/2 between next nearest neighbors is studied by Monte Carlo simulation. Data are generated by the heat bath algorithm for lattice sizes L = 4, 8, 12, 16, 20 and 24, using histogram reweighting techniques and sampling up to several hundred configurations of the random site disorder. From a finite size scaling analysis both the critical temperature and the critical exponents are estimated. For the pure system, the data are in very good agreement with the critical exponent estimates 1/v ≈ 1.42, β/v ≈ 0.51 obtained from other methods (as a check of the accuracy of our approach, we also study the nearest neighbor model — where Jnn ≡ 0− and again obtain very good agreement with the known behavior). However, for the diluted systems evidence for a new universality class is found. While for concentration c = 0.875 of occupied sites strong crossover phenomena preclude us from giving exponent estimates, for c = 0.75 we find 1/v ≈ 1.2 and β/v ≈ 0.45. Possible reasons why the Harris criterion may not apply for this system are discussed. The application of this study to experiments on EuxSr1−xS is briefly mentioned.

Suggested Citation

  • D'Onorio De Meo, M & Reger, J.D & Binder, K, 1995. "Critical behavior of diluted Heisenberg ferromagnets with competing interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(3), pages 628-647.
    • Handle: RePEc:eee:phsmap:v:220:y:1995:i:3:p:628-647
    DOI: 10.1016/0378-4371(95)00168-7
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437195001687
    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(95)00168-7?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. Adler, Joan & Holm, Christian & Janke, Wolfhard, 1993. "High-temperature series analyses of the classical Heisenberg and XY models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 201(4), pages 581-592.
    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. Brower, Richard & Orginos, Kostas & Shen, Yue & Tan, Chung-I, 1995. "Monte Carlo study of the Yukawa coupled two-spin Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(4), pages 554-564.
    2. de Sousa, J.Ricardo & de Albuquerque, Douglas F., 1997. "Critical properties of the classical XY and classical Heisenberg models: A renormalization group study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 236(3), pages 419-428.
    3. Landau, D.P., 1994. "Computer simulation studies of critical phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(1), pages 41-64.

    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:220:y:1995:i:3:p:628-647. 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.