Non-Universal Critical Behaviour of Two-Dimensional Ising Systems

Details Non-Universal Critical Behaviour of Two-Dimensional Ising Systems Non-Universal Critical Behaviour of Two-Dimensional Ising Systems

2004-04-23

arxiv.org/abs/cond-mat/0404572v1

J. Phys. A 27 (1994) 7301-7311

Physics

Condensed Matter

Statistical Mechanics

17 pages

Scientific paper

10.1088/0305-4470/27/22/008

Two conditions are derived for Ising models to show non-universal critical behaviour, namely conditions concerning 1) logarithmic singularity of the specific heat and 2) degeneracy of the ground state. These conditions are satisfied with 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 the rotational invariance.

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