Authors: D Ioffe Y Velenik M Zahradník
Publish Date: 2006/02/28
Volume: 122, Issue: 4, Pages: 761-786
Abstract
We study a system of rods onℤ2 with hardcore exclusion Each rod has a length between 2 and N We show that when N is sufficiently large and for suitable fugacity there are several distinct Gibbs states with orientational longrange order This is in sharp contrast with the case N = 2 the monomerdimer model for which Heilmann and Lieb proved absence of phase transition at any fugacity This is the first example of a pure hardcore system with phases displaying orientational order but not translational order this is a fundamental characteristic feature of liquid crystals
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