Can I read Lee-Yang zeros for substitutional systems on EtoBox?

Lee-Yang zeros for substitutional systems by Simon, Harald; Baake, Michael; Grimm, Uwe is a scholarly article available to read on EtoBox.

What is Lee-Yang zeros for substitutional systems about?

Qualitative and quantitative information about critical phenomena is provided by the distribution of zeros of the partition function in the complex plane. We apply this idea to Ising models on non-periodic systems based on substitution. In 1D we consider the Thue-Morse chain and show that the magnetic field zeros are filling a Cantor subset of the unit circle, the gaps being related to a general gap labeling theorem. In 2D we study the temperature zeros of the Ising model on the Ammann-Beenker tiling. The use of corner transfer matrices allows an efficient calculation of the partition function for rather large patches which results in a reasonable estimate of the critical temperature.

Author

Simon, Harald; Baake, Michael; Grimm, Uwe

Published

1999

Language

EN