Partition Function Zeros for Aperiodic Systems

Дата и время публикации : 1993-11-08T14:07:57Z

Авторы публикации и институты :
M. Baake
U. Grimm
C. Pisani

Ссылка на журнал-издание: J. Stat. Phys. 78 (1995) 285
Коментарии к cтатье: 11 pages, LaTeX, epsf.tex, 7 uuencoded postscript figures included, Stuttgart University Preprint itap-11/93-2
Первичная категория: cond-mat

Все категории : cond-mat, hep-th

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

Category: Physics