Non-universal critical behaviour of two-dimensional Ising systems

1994/11/21 by Kazuhiko Minami, K Minami, Masuo Suzuki +1 · 2 citations
Mathematics · Physics and Astronomy · #Opinion Dynamics and Social Influence #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1088/0305-4470/27/22/008

published as J. Phys. A 27 (1994) 7301-7311 · 17 pages

openalex publication_date 1994/11/21 · arxiv created 2004/04/23 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

Two conditions are derived for Ising models to show non-universal critical behaviour, namely, conditions concerning (i) logarithmic singularity of the specific heat and (ii) degeneracy of the ground state. These conditions are satisfied by the eight-vertex model, the Ashkin-Teller model, some Ising models with short- or long-range interactions and even Ising systems without the translational or rotational invariance.

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