On the Magnetic Properties of Rare Earth-Based Tsai Approximants

In the hopes of understanding the magnetic properties of rare earth quasicrystals, extensive studies have been performed on the properties of their approximants: periodic structures which locally look like their aperiodic counterparts. Experimentally, the high temperature behavior of the susceptibility correlates with the conduction electron density, suggesting that the RKKY interaction is important. This poster presents our investigations into the magnetic properties of classical Ising and Heisenberg model hamiltonians on the approximant lattice, and discusses the possibility for extending the results to the quasicrystalline case.