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

Abstract

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 more dimensions. All particles have the same shape and can be made to cover the lattice perfectly in a finite number of ways. We also show that the pressure and correlation functions have a convergent expansion in powers of the inverse of the fugacity. This implies that the Lee-Yang zeros lie in an annulus with finite positive radii.

References in corpus (2)

• Hard-sphere melting and crystallization with event-chain Monte Carlo
• Translation-invariance of two-dimensional Gibbsian point processes

Cited by in corpus (2)

• High-fugacity expansion and crystallization in non-sliding hard-core lattice particle models without a tiling constraint
• Critical configurations of the hard-core model on square grid graphs