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Phase transitions in a system of hard rectangles on the square lattice

Phase transitions in a system of hard rectangles on the square lattice

The phase diagram of a system of monodispersed hard rectangles of size $m\ifmmode\times\else\texttimes\fi{}mk$ on a square lattice is numerically determined for $m=2,3$ and aspect ratio $k=1,2,...,7$. We show the existence of a disordered phase, a nematic phase with orientational order, a columnar phase with orientational and partial translational order, and …