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

TL;DR

This study investigates how dilution affects the magnetization plateaus in antiferromagnetic Ising models on frustrated lattices, revealing multiple plateaus and their origins through Monte Carlo simulations.

Contribution

It provides a comparative analysis of magnetization plateaus in diluted antiferromagnetic Ising models on various frustrated lattices, including triangular, kagome, and pyrochlore.

Findings

Multiple magnetization plateaus observed in diluted models.

Contrast between diluted and pure models' magnetization behavior.

Insights into the spin configurations causing plateaus.

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.