Abstract

Abstract Dimer models with excluded volume interactions and classical anisotropic dispersion interactions are solved exactly in the limit of close packing on the two dimensional square, triangular and honeycomb lattices. These models exhibit nematic phase transitions for the aforementioned three lattices at temperatures of 2.55b/k, 1.51b/k and 3.10b/k respectively, where - b is the ground state energy per molecule.

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