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The phase diagram of two-dimensional continuous particle systems is studiedusing Event-Chain Monte Carlo. For soft disks with repulsive power-lawinteractions $\propto r^{-n}$ with $n \gtrsim 6$, the recently establishedhard-disk melting scenario ($n \to \infty$) holds: a first-order liquid-hexaticand a continuous hexatic-solid transition are identified. Close to $n = 6$, thecoexisting liquid exhibits very long orientational correlations, and positionalcorrelations in the hexatic are extremely short. For $n\lesssim 6$, theliquid-hexatic transition is continuous, with correlations consistent with theKosterlitz-Thouless-Halperin-Nelson-Yong (KTHNY) scenario. To illustrate thegenerality of these results, we demonstrate that Yukawa particles likewise mayfollow either the KTHNY or the hard-disk melting scenario, depending on theDebye-H\"uckel screening length as well as on the temperature.

2D Melting: From Liquid-Hexatic Coexistence to Continuous Transitions