Three-step melting of hard superdisks in two dimensions

Abstract

We explore the link between the melting scenarios of two-dimensional systems of hard disks and squares through replica-exchange Monte Carlo simulations of hard superdisks. The well-known melting scenarios are observed in the disk and square limits, while we observe an unusual three-step scenario for dual-shapes. We find that two mesophases mediate the melting: a hexatic phase and another fluid phase with a $D_2$ local symmetry, we call it rhombatic, where both bond and particle orientational orders are quasi-long-range. Our results show that not only can the melting process of liquid-crystal forming molecules be complicated, where elongated shapes stabilize several mesophases, but also that of anisotropic quasispherical molecules.

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• The effect of combined roundness and polydispersity on the phase behavior of hard-rectangle fluids
• Competition between shape anisotropy and deformation in the ordering and close packing properties of quasi-one-dimensional hard superellipse fluids
• Phase Boundaries of Bulk 2D Rhombi
• Density-functional theory for clustering of two-dimensional hard particle fluids