Branched polymers, complex spins and the freezing transition

Abstract

We show that by coupling complex three-state systems to branched-polymer like ensembles we can obtain models with gamma-string different from one half. It is also possible to study the interpolation between dynamical and crystalline graphs for these models; we find that only when geometry fluctuations are completely forbidden is there a crystalline phase.

Comments: 14 pages plain LateX2e, 4 eps figures included using epsf