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The competing spin orders and fractional magnetization plateaus of classicalHeisenberg model with long-range interactions on a Shastry-Sutherland latticeare investigated using Monte Carlo simulations, in order to understand thefascinating spin ordering sequence observed in TmB4 and other rare-earthtetraborides. The simulation reproduces the experimental 1/2 magnetizationplateau at low temperature by considering multifold long range interactions. Itis found that more local long range interactions can be satisfied in the 1/2plateau state than those in the 1/3 plateau state, leading to the stabilizationof the extended 1/2 plateau. A mean-field theory on the spin ground states inresponse to magnetic field is proposed, demonstrating the simulation results.When the energies of the Neel state and the collinear state are degenerated,the former state is more likely to be stabilized due to the competitions amongthe local collinear spin orders. The present work provides a comprehensiveproof of the phase transitions to the Neel state at nonzero temperature, incomplimentary to the earlier predictions for the Fe-based superconductors.

journal of applied physics

The competing spin orders and fractional magnetization plateaus of  classical Heisenberg model on Shastry-Sutherland lattice: Consequence of  long-range interactions