First-order transition features of the triangular Ising model with nearest- and next-nearest-neighbor antiferromagnetic interactions

A. Malakis, Nikolaos G. Fytas, P. Kalozoumis

    Research output: Contribution to journalArticle

    16 Citations (Scopus)

    Abstract

    We implement a new and accurate numerical entropic scheme to investigate the first-order transition features of the triangular Ising model with nearest-neighbor (Jnn) and next-nearest-neighbor (Jnnn) antiferromagnetic interactions in ratio R=Jnn/Jnnn=1. Important aspects of the existing theories of first-order transitions are briefly reviewed, tested on this model, and compared with previous work on the Potts model. Using lattices with linear sizes L=30,40,…,100,120,140,160,200,240,360 and 480 we estimate the thermal characteristics of the present weak first-order transition. Our results improve the original estimates of Rastelli et al. and verify all the generally accepted predictions of the finite-size scaling theory of first-order transitions, including transition point shifts, thermal, and magnetic anomalies. However, two of our findings are not compatible with current phenomenological expectations. The behavior of transition points, derived from the number-of-phases parameter, is not in accordance with the theoretically conjectured exponentially small shift behavior and the well-known double Gaussian approximation does not correctly describe higher correction terms of the energy cumulants. It is argued that this discrepancy has its origin in the commonly neglected contributions from domain wall corrections.
    Original languageEnglish
    Pages (from-to)351-371
    JournalPhysica A: Statistical Mechanics and its Applications
    Volume383
    Issue number2
    DOIs
    Publication statusPublished - 27 Apr 2007

    Bibliographical note

    The full text is not available on the repository.

    Keywords

    • First-order transitions
    • Triangular Ising model-superantiferromagnetism
    • Entropic sampling

    Fingerprint

    Dive into the research topics of 'First-order transition features of the triangular Ising model with nearest- and next-nearest-neighbor antiferromagnetic interactions'. Together they form a unique fingerprint.

    Cite this