  Recently, kirigami's high extensibility has been understood as a transition
in the force-elongation curve. In this paper, we consider a model, which
modifies our previous model, to show a striking analogy between the present
theory and Landau theory of continuous thermodynamic transitions, if we regard
a rotation angle and elongation of kirigami as the order parameter and the
inverse temperature, respectively. The present study opens a new avenue in
physics, pointing out the importance of the distinction between discontinuity
and continuity of the high-extensibility transition in an elementary kirigami
structure, and showing that the mechanical response of kirigami can be
understood using the tools of statistical physics, which have been proved to be
useful in many fields of physics.
