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There is no necessity for there to be a phase transition between paramagnetic and diagmagnetic. They differ only in the sign of a response function, and there is no reason why one coould not continuously deform a paramagnetic material into a diagmagnetic one. As with all properties of materials one could get a discontinuous change in the magnetic response if ...

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In this article PhysRevE.67.031608 an order parameter is given for a 2D system. Originally, it was introduced by Halperin and Nelson. It is the absolute value of the sixth Fourier component of the bond angle distribution function, which is constant in the isotropic fluid and consists of six equally spaced peaks in the solid phase. It is given by:  \Phi_6 ...

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I met a paper published in PRL using the orietational order parameter and global bond_orietational order parameter. Although the structures in this paper are about the short chain alkanes, i think the definitions of the two kind of order parameters may provide you some insights into your question.

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