Scaling behavior of the Heisenberg model in three dimensions

A. Gordillo-Guerrero, Ralph Kenna, J.J. Ruiz-Lorenzo

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    Abstract

    We report on extensive numerical simulations of the three-dimensional Heisenberg model and its analysis through finite-size scaling of Lee-Yang zeros. Besides the critical regime, we also investigate scaling in the ferromagnetic phase. We show that, in this case of broken symmetry, the corrections to scaling contain information on the Goldstone modes. We present a comprehensive Lee-Yang analysis, including the density of zeros, and confirm recent numerical estimates for critical exponents.
    Original languageEnglish
    Article number062117
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume88
    Issue number6
    DOIs
    Publication statusPublished - 2013

    Bibliographical note

    © 2013 American Physical Society

    Keywords

    • broken symmetry
    • critical exponent
    • critical regimes
    • ferromagnetic phase
    • finite size scaling
    • Heisenberg models
    • scaling behavior
    • three dimensions
    • condensed matter physics
    • physics

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