# Magnetism of the diluted Ising antiferromagnet in a magnetic field on the Kagome lattice: single-spin cluster approximation

## TL;DR

This study uses an effective-field theory to analyze the magnetization and susceptibility of a diluted spin-1/2 Ising antiferromagnet on the Kagome lattice, revealing five magnetization plateaus and zero inverse susceptibility at 0K.

## Contribution

It introduces a single-spin cluster approximation to investigate magnetic properties of a diluted Kagome lattice antiferromagnet, aligning with Monte Carlo results.

## Key findings

- Five magnetization plateaus observed under magnetic field.
- Inverse susceptibility drops to zero at 0K.
- Site-dilution significantly affects magnetic response.

## Abstract

An effective-field theory based on the single-spin cluster has been used to study of a diluted spin-$1/2$ Ising antiferromagnet on the Kagome lattice with nearest-neighbor interactions. We observe five plateaus in the magnetization curve of the diluted antiferromagnet when a magnetic field is applied which is in agreement with Monte Carlo calculation. The effect of the site-dilution on the magnetic susceptibility is also investigated and discussed. In particular, we have found that the frustrated Kagome lattice inverse susceptibility fall to zero at $0$K.