IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v89y2016i9d10.1140_epjb_e2016-70364-3.html
   My bibliography  Save this article

Revisiting the scaling of the specific heat of the three-dimensional random-field Ising model

Author

Listed:
  • Nikolaos G. Fytas

    (Applied Mathematics Research Centre, Coventry University)

  • Panagiotis E. Theodorakis

    (Institute of Physics, Polish Academy of Sciences)

  • Alexander K. Hartmann

    (Institut für Physik, Universität Oldenburg)

Abstract

We revisit the scaling behavior of the specific heat of the three-dimensional random-field Ising model with a Gaussian distribution of the disorder. Exact ground states of the model are obtained using graph-theoretical algorithms for different strengths 𝒩 = 268 3 spins. By numerically differentiating the bond energy with respect to h, a specific-heat-like quantity is obtained whose maximum is found to converge to a constant in the thermodynamic limit. Compared to a previous study following the same approach, we have studied here much larger system sizes with an increased statistical accuracy. We discuss the relevance of our results under the prism of a modified Rushbrooke inequality for the case of a saturating specific heat. Finally, as a byproduct of our analysis, we provide high-accuracy estimates of the critical field h c = 2.279(7) and the critical exponent of the correlation exponent ν = 1.37(1), in excellent agreement to the most recent computations in the literature.

Suggested Citation

  • Nikolaos G. Fytas & Panagiotis E. Theodorakis & Alexander K. Hartmann, 2016. "Revisiting the scaling of the specific heat of the three-dimensional random-field Ising model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(9), pages 1-7, September.
    • Handle: RePEc:spr:eurphb:v:89:y:2016:i:9:d:10.1140_epjb_e2016-70364-3
    DOI: 10.1140/epjb/e2016-70364-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/e2016-70364-3
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1140/epjb/e2016-70364-3?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.

    More about this item

    Keywords

    Statistical and Nonlinear Physics;

    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:spr:eurphb:v:89:y:2016:i:9:d:10.1140_epjb_e2016-70364-3. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.