Exact partition function zeros of two-dimensional lattice polymers

Abstract

We study the zeros of the exact partition function of lattice polymers on two-dimensional square lattices up to the chain length 28. We observe that the leading zeros tend to approach the real axis as the chain length increases. The results suggest that the locus of zeros may intersect the real axis in the limit of infinite chain length, which is the necessary condition for the existence of the collapse transition.