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Because of long-wavelength fluctuations, the nature of solids and phasetransitions in 2D are different from those in 3D systems, and have been heavilydebated in past decades, in which the focus was on the existence of hexaticphase. Here, by using large scale computer simulations, we investigate themelting transition in 2D systems of polydisperse hard disks. We find that, withincreasing the particle size polydispersity, the melting transition can bequalitatively changed from the recently proposed two-stage process to theKosterlitz-Thouless-Halperin-Nelson-Young scenario with significantly enlargedstability range for hexatic phase. Moreover, re-entrant melting transitions arefound in high density systems of polydisperse hard disks, which were provenimpossible in 3D polydisperse hard-sphere systems. These suggest a newfundamental difference between phase transitions in polydisperse systems in 2Dand 3D.

Melting and re-entrant melting of polydisperse hard disks