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We study the residual entropy of the nearest-neighbor spin-ice model in amagnetic field along the [111] direction using the Wang-Landau Monte Carlomethod, with a special attention to dilution effects. For a diluted model, weobserve a stepwise decrease of the residual entropy as a function of themagnetic field, which is consistent with the finding of the five magnetizationplateaus in a previous replica-exchange Monte Carlo study by Peretyatko {\it etal.} [Phys. Rev. B {\bf 95}, 144410 (2017)]. We find large peaks of theresidual entropy due to the degeneracy at the crossover magnetic fields,$h_c/J$ = 0, 3, 6, 9, and 12, where $h$ and $J$ are the magnetic field and theexchange coupling, respectively. In addition, we also study the residualentropy of the diluted antiferromagnetic Ising models in a magnetic field onthe kagome and triangular lattices. We again observe large peaks of theresidual entropy, which are associated with multiple magnetization plateaus forthe diluted model. Finally, we discuss the interplay of dilution and magneticfields in terms of the residual entropy.

Large peaks in the entropy of the diluted nearest-neighbor spin-ice model on the pyrochlore lattice in a [111] magnetic field