Abstract
Motivated by the recent experimental realization of a heavy-fermion quasicrystal lattice, we would like to investigate the low-temperature behavior of localized spins living in a quasicrystal. Specifically, we will study the antiferromagnetic Ising model in the two-dimensional octagonal, or Ammann-Beenker, tiling. Previous studies show that this system displays long-range order in its gro…