Comparison of diluted antiferromagnetic Ising models on frustrated lattices in a magnetic field

Abstract

We study diluted antiferromagnetic Ising models on triangular and kagome lattices in a magnetic field, using the replica-exchange Monte Carlo method. We observe seven and five plateaus in the magnetization curve of the diluted antiferromagnetic Ising model on the triangular and kagome lattices, respectively, when a magnetic field is applied. These observations contrast with the two plateaus observed in the pure model. The origin of multiple plateaus is investigated by considering the spin configuration of triangles in the diluted models. We compare these results with those of a diluted antiferromagnetic Ising model on the three-dimensional pyrochlore lattice in a magnetic field pointing in the [111] direction, sometimes referred to as the "kagome-ice" problem. We discuss the similarity and dissimilarity of the magnetization curves of the "kagome-ice" state and the two-dimensional kagome lattice.

arXiv comment9 pages, 12 figures

References in corpus (11)

• Exchange Monte Carlo Method and Application to Spin Glass Simulations
• Spin Ice State in Frustrated Magnetic Pyrochlore Materials
• Theory of the [111] magnetization plateau in spin ice
• Specific Heat of Kagome Ice in the Pyrochlore Oxide Dy2Ti2O7
• Magnetization process of spin ice in a [111] magnetic field
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• Phase Diagram of a Diluted Triangular Lattice Ising Antiferromagnet in a Field
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• Entropy of the diluted antiferromagnetic Ising models on the frustrated lattices using the Wang-Landau method
• Interplay of dilution and magnetic field in the nearest-neighbor spin-ice model on the pyrochlore lattice
• Thermodynamic properties of a diluted triangular Ising antiferromagnet in a field

Cited by in corpus (4)

• Artificial out-of-plane Ising antiferromagnet on the kagome lattice with very small further neighbour couplings
• Large peaks in the entropy of the diluted nearest-neighbor spin-ice model on the pyrochlore lattice in a [111] magnetic field
• Absence of long-range order in a three-dimensional stacked Ising antiferromagnet on kagome lattice
• Magnetism of the diluted Ising antiferromagnet in a magnetic field on the Kagome lattice: single-spin cluster approximation