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              <p>In this work, we have performed Monte Carlo simulations in a classical model for RFe 1-x Cr x O 3 with R = Y and Lu, comparing the numerical simulations with experiments and mean field calculations. In the analyzed compounds, the antisymmetric exchange or Dzyaloshinskii-Moriya (DM) interaction induced a weak ferromagnetism due to a canting of the antiferromagnetically ordered spins. This model is able to reproduce the magnetization reversal (MR) observed experimentally in a field cooling process for intermediate x values and the dependence with x of the critical temperatures. We also analyzed the conditions for the existence of MR in terms of the strength of DM interactions between Fe 3+ and Cr 3+ ions with the x values variations. © 2016 IOP Publishing Ltd.</p>
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