Numéro
J. Phys. Colloques
Volume 49, Numéro C8, Décembre 1988
Proceedings of the International Conference on Magnetism
Page(s) C8-1387 - C8-1388
DOI https://doi.org/10.1051/jphyscol:19888636
Proceedings of the International Conference on Magnetism

J. Phys. Colloques 49 (1988) C8-1387-C8-1388

DOI: 10.1051/jphyscol:19888636

PHASE TRANSITION OF THE ISING MODEL ON THE TWO-DIMENSIONAL QUASICRYSTALS

Y. Okabe et K. Niizeki

Department of Physics, Tohoku University, Sendai 980, Japan


Abstract
The Ising models on the Penrose lattice and its dual lattice are investigated using a Monte Carlo method. The duality relation between the critical temperatures with the ferromagnetic coupling holds for a quasicrystal. The antiferromagnetic system on the dual Penrose lattice shows no long-range order due to a frustration.