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We establish existence of order-disorder phase transitions for a class of"non-sliding" hard-core lattice particle systems on a lattice in two or moredimensions. All particles have the same shape and can be made to cover thelattice perfectly in a finite number of ways. We also show that the pressureand correlation functions have a convergent expansion in powers of the inverseof the fugacity. This implies that the Lee-Yang zeros lie in an annulus withfinite positive radii.

High-fugacity expansion, Lee-Yang zeros and order-disorder transitions in hard-core lattice systems