PARTITION-FUNCTION ZEROS FOR APERIODIC SYSTEMS

The study of zeros of partition functions, initiated by Yang and Lee, provides an important qualitative and quantitative tool in the study o f critical phenomena. This has frequently been used for periodic as we ll as hierarchical lattices. Here, we consider magnetic field and temp erature zeros of Ising model partition functions on several aperiodic structures. In 1D, we analyze aperiodic chains obtained from substitut ion rules, the most prominent example being the Fibonacci chain. In 2D , we focus on the tenfold symmetric triangular tiling which allows eff icient numerical treatment by means of corner transfer matrices.