Revisiting the Magnetic Orders in Heisenberg Model for Tsai-Type Quasicrystal Approximant

The various magnetic orders observed in approximant crystals of a Tsai -type quasicrystal are important for deepening our understanding of magnetism in quasicrystals. Using an icosahedral cluster model with intercluster interactions, we provide an intuitive explanation of the mechanism of magnetic orders previously reported by classical Monte Carlo simulations of an effective Heisenberg model for Gd-based Tsai -type 1/1 approximant crystals.