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The random disorder can drastically change the melting scenario oftwo-dimensional systems and has to be taken into account in the interpretationof the experimental results. We present the results of the molecular dynamicssimulations of the two dimensional system with the core-softened potentialswith two repulsive steps in which a small fraction of the particles is pinned,inducing quenched disorder. It is shown that without the quenched disorder thesystem with small repulsive shoulder, which is close in the shape to the softdisks, melts in accordance with the melting scenario proposed in Refs.[30,31,33] (first-order liquid-hexatic and continuous hexatic-solidtransitions). Random pinning widens the hexatic phase, but leaves the meltingscenario unchanged. For the system with larger repulsive step at high densitiesthe conventional first-order transition takes place without random pinning.However, in the presence of disorder the single first-order transitiontransforms into two transitions, one of them (solid-hexatic) is the continuousKTHNY-like transition, while the hexatic to isotropic liquid transition occursas the first order transition.

Influence of random pinning on melting scenario of two-dimensional core-softened potential system