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We examine the fluid phase behaviour of the binary mixture of hardsuperellipses using the scaled particle theory The superellipse is a generaltwo dimensional convex object which can be tuned between circular andrectangular shapes continuously at a given aspect ratio. We find that the shapeof the particle affects strongly the stability of isotropic nematic andtetratic phases even if the aspect ratios of both species are fixed. While theisotropic isotropic demixing transition can be ruled out using the scaledparticle theory the first order isotropic nematic and the nematic nematicdemixing transition can be stabilized with strong fractionation between thecomponents. It is observed that the demixing tendency is strongest in smallrectangle large ellipse mixtures. Interestingly, it is possible to stabilizethe tetratic order at lower densities in the mixture of hard squares andrectangles where the long rectangles form nematic phase, while the squares stayin tetratic order.

Demixing and tetratic ordering in some binary mixtures of hard superellipses