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The hexatic phase of the two-dimensional hard disks system

arXiv:cond-mat/0305239 · doi:10.1016/j.physleta.2004.07.055

Abstract

We report Monte Carlo results for the two-dimensional hard disk system in the transition region. Simulations were performed in the NVT ensemble with up to 1024^2 disks. The scaling behaviour of the positional and bond-orientational order parameter as well as the positional correlation length prove the existence of a hexatic phase as predicted by the Kosterlitz-Thouless-Halperin-Nelson-Young theory. The analysis of the pressure shows that this phase is outside a possible first-order transition.

6 pages, 4 figures (minor changes)