Magnetization plateaus of the frustrated Ising Shastry-Sutherland system: Wang-Landau simulation

The Wang-Landau algorithm is used to study the magnetic properties of the Ising model on the Shastry-Sutherland lattice in order to understand the interesting magnetization plateaus observed in TmB4. The simulated results demonstrate that the equilibrium state of the model produces only the 1/3 and 1/2 magnetization plateaus at low temperatures even when the random-exchange term or the long-range interactions are taken into account. This confirms our earlier conclusion (Huang et al., 2013) [20] that those fractional plateaus observed in experiments may be due to the magnetization dynamics.